v3.24.3
Fair value of financial instruments
12 Months Ended
Oct. 31, 2024
Text Block [Abstract]  
Fair value of financial instruments
 
Note 3 Fair value of financial instruments
Carrying value and fair value of financial instruments
The following tables provide a comparison of the carrying and fair values for each classification of financial instruments. Embedded derivatives are presented on a combined basis with the host contracts. For measurement purposes, they are carried at fair value when conditions requiring separation are met.
 

    
As at October 31, 2024
 
   
Carrying value and fair value
       
Carrying value
       
Fair value
             
(Millions of Canadian dollars)  
Financial
instruments
classified as
FVTPL
   
Financial
instruments
designated as
FVTPL
   
Financial
instruments
classified as
FVOCI
   
Financial
instruments
designated as
FVOCI
        
Financial
instruments
measured at
amortized cost
        
Financial
instruments
measured at
amortized cost
   
Total
carrying
amount
   
Total
fair value
 
Financial assets
                   
Interest-bearing deposits with banks
 
$
 
 
$
53,996
 
 
$
 
 
$
 
     
$
12,024
 
     
$
12,024
 
 
$
66,020
 
 
$
66,020
 
Securities
                   
Trading
 
 
182,346
 
 
 
954
 
 
 
 
 
 
 
   
 
 
   
 
 
 
 
183,300
 
 
 
183,300
 
Investment, net of applicable allowance
 
 
 
 
 
 
 
 
155,118
 
 
 
1,242
 
     
 
100,258
 
     
 
96,336
 
 
 
256,618
 
 
 
252,696
 
   
 
182,346
 
 
 
954
 
 
 
155,118
 
 
 
1,242
 
     
 
100,258
 
     
 
96,336
 
 
 
439,918
 
 
 
435,996
 
Assets purchased under reverse repurchase agreements and securities borrowed
 
 
284,311
 
 
 
 
 
 
 
 
 
 
     
 
66,492
 
     
 
66,492
 
 
 
350,803
 
 
 
350,803
 
Loans, net of applicable allowance
                   
Retail
 
 
915
 
 
 
 
 
 
580
 
 
 
 
   
 
622,098
 
   
 
619,320
 
 
 
623,593
 
 
 
620,815
 
Wholesale
 
 
6,177
 
 
 
2,030
 
 
 
1,003
 
 
 
 
     
 
348,577
 
     
 
345,561
 
 
 
357,787
 
 
 
354,771
 
   
 
7,092
 
 
 
2,030
 
 
 
1,583
 
 
 
 
     
 
970,675
 
     
 
964,881
 
 
 
981,380
 
 
 
975,586
 
Other
                   
Derivatives
 
 
150,612
 
 
 
 
 
 
 
 
 
 
   
 
 
   
 
 
 
 
150,612
 
 
 
150,612
 
Other assets
(1)
 
 
11,770
 
 
 
 
 
 
 
 
 
 
     
 
50,093
 
     
 
50,093
 
 
 
61,863
 
 
 
61,863
 
Financial liabilities
                   
Deposits
                   
Personal
 
$
508
 
 
$
33,799
 
       
$
487,832
 
   
$
490,170
 
 
$
522,139
 
 
$
524,477
 
Business and government
(2)
 
 
191
 
 
 
156,238
 
       
 
683,241
 
   
 
684,748
 
 
 
839,670
 
 
 
841,177
 
Bank
(3)
 
 
 
 
 
10,530
 
                     
 
37,192
 
     
 
37,183
 
 
 
47,722
 
 
 
47,713
 
   
 
699
 
 
 
200,567
 
                     
 
1,208,265
 
     
 
1,212,101
 
 
 
1,409,531
 
 
 
1,413,367
 
Other
                   
Obligations related to securities sold short
 
 
35,286
 
 
 
 
       
 
 
   
 
 
 
 
35,286
 
 
 
35,286
 
Obligations related to assets sold under repurchase agreements and securities
loaned
 
 
 
 
 
270,663
 
       
 
34,658
 
   
 
34,658
 
 
 
305,321
 
 
 
305,321
 
Derivatives
 
 
163,763
 
 
 
 
       
 
 
   
 
 
 
 
163,763
 
 
 
163,763
 
Other liabilities
(4)
 
 
(1,407
 
 
 
       
 
69,597
 
   
 
69,850
 
 
 
68,190
 
 
 
68,443
 
Subordinated debentures
 
 
 
 
 
 
                     
 
13,546
 
     
 
13,602
 
 
 
13,546
 
 
 
13,602
 
 
  
 
As at October 31, 2023 (Restated – Note 2)
 
 
 
Carrying value and fair value
 
 
 
 
Carrying value
 
 
 
 
Fair value
 
 
 
 
 
 
 
(Millions of Canadian dollars)
 
Financial
instruments
classified as
FVTPL
 
 
Financial
instruments
designated as
FVTPL
 
 
Financial
instruments
classified as
FVOCI
 
 
Financial
instruments
designated as
FVOCI
 
 
  
 
Financial
instruments
measured at
amortized cost
 
 
  
 
Financial
instruments
measured at
amortized cost
 
 
Total
carrying
amount
 
 
Total
fair value
 
Financial assets
                   
Interest-bearing deposits with banks
  $     $ 60,856     $     $         $ 10,230         $ 10,230     $ 71,086     $ 71,086  
Securities
                   
Trading
    180,651       9,500                                   190,151       190,151  
Investment, net of applicable allowance
                127,624       842           91,113           83,667       219,579       212,133  
      180,651       9,500       127,624       842           91,113           83,667       409,730       402,284  
Assets purchased under reverse repurchase agreements and
securities borrowed
    285,869                             54,322           54,322       340,191       340,191  
Loans, net of applicable allowance
                   
Retail
    114       362       280               566,376         542,480       567,132       543,236  
Wholesale
    5,629       3,619       597                 275,796           268,843       285,641       278,688  
      5,743       3,981       877                 842,172           811,323       852,773       821,924  
Other
                   
Derivatives
    142,450                                         142,450       142,450  
Other assets
(1)
    7,579       5                       68,450           68,450       76,034       76,034  
Financial liabilities
                   
Deposits
                   
Personal
  $ 109     $ 26,702           $ 415,135       $ 412,886     $ 441,946     $ 439,697  
Business and government
(2)
    174       137,454             607,447         605,260       745,075       742,888  
Bank
(3)
          11,462                           33,204           33,160       44,666       44,622  
      283       175,618                           1,055,786           1,051,306       1,231,687       1,227,207  
Other
                   
Obligations related to securities sold short
    33,651                                 33,651       33,651  
Obligations related to assets sold under repurchase agreements
and securities
loaned
          298,679             36,559         36,559       335,238       335,238  
Derivatives
    142,629                                 142,629       142,629  
Other liabilities
(4)
    (937     11             92,539         92,441       91,613       91,515  
Subordinated debentures
                                    11,386           11,213       11,386       11,213  
 
(1)   Includes Customers’ liability under acceptances and financial instruments recognized in Other assets.
(2)   Business and government deposits include deposits from regulated deposit-taking institutions other than banks.
(3)   Bank deposits refer to deposits from regulated banks and central banks.
(4)   Includes Acceptances and financial instruments recognized in Other liabilities.
Financial assets designated as fair value through profit or loss
For our financial assets designated as FVTPL, we measure the change in fair value attributable to changes in credit risk as the difference between the total change in the fair value of the instrument during the period and the change in fair value calculated using the appropriate risk-free yield curves. For the year ended October 31, 2024, the change in fair value during the period attributable to changes in credit risk for positions still held was a gain of $45 million and the cumulative change in fair value attributable to changes in credit risk for positions still held was a loss of $9 million. For the year ended October 31, 2023, the change in fair value during the period attributable to changes in credit risk for positions still held was a gain of $360 million and the cumulative change in fair value attributable to changes in credit risk for positions still held was a loss of $102 million. As at October 31, 2024, the extent to which credit derivatives or similar instruments mitigate the maximum exposure to credit risk was $954 million (October 31, 2023 – $692 million).
Financial liabilities designated as fair value through profit or loss
For our financial liabilities designated as FVTPL, we take into account changes in our own credit spread and the expected duration of the in
stru
ment to measure the change in fair value attributable to changes in credit risk.
 
 
 
 
 
As at or for the year ended October 31, 2024
(1)
 
 
 
Contractual
maturity
amount
 
 
Carrying value
 
 
Difference
between
carrying value
and contractual
maturity amount
 
 
Changes in fair value attributable
to changes in credit risk included
in OCI for positions still held
 
(Millions of Canadian dollars)
 
During the period
 
 
Cumulative
(2)
 
Term deposits
         
Personal
 
$
33,552
 
 
$
33,799
 
 
$
247
 
 
$
221
 
 
$
163
 
Business and government
(3)
 
 
162,648
 
 
 
156,238
 
 
 
(6,410
)
 
 
1,204
 
 
 
177
 
Bank
(4)
 
 
10,520
 
 
 
10,530
 
 
 
10
 
 
 
 
 
 
 
   
 
206,720
 
 
 
200,567
 
 
 
(6,153
)
 
 
1,425
 
 
 
340
 
Obligations related to assets sold under repurchase agreements and securities loaned
 
 
270,625
 
 
 
270,663
 
 
 
38
 
 
 
 
 
 
 
Other liabilities
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   
$
477,345
 
 
$
471,230
 
 
$
  (6,115)
   
$
   1,425
 
 
$
  340
 
 
 
   
    As at or for the year ended October 31, 2023 (1)  
    Contractual
maturity
amount
    Carrying value     Difference
between
carrying value
and contractual
maturity amount
    Changes in fair value attributable
to changes in credit risk included
in OCI for positions still held
 
(Millions of Canadian dollars)
  During the period     Cumulative (2)  
Term deposits
         
Personal
  $ 27,131     $ 26,702     $ (429   $ 112     $ (57
Business and government
(3)
    147,844       137,454       (10,390     683       (1,030
Bank
(4)
    11,485       11,462       (23            
      186,460       175,618       (10,842     795       (1,087
Obligations related to assets sold under repurchase agreements and securities loaned
    298,734       298,679       (55     3       4  
Other liabilities
    11       11                    
    $  485,205     $   474,308     $   (10,897)     $    798     $   (1,083)  
 
(1)   $1
million
in changes in fair value attributable to changes in credit risk were recognized in income for the year ended October 31, 2024, and $9
million
in cumulative changes in credit risk were included in income for positions still held
life-to-date
(October 31, 2023 – $29 million and $17 million
,
respectively).
(2)   The cumulative change is measured from the initial designation of the liabilities as FVTPL. For the year ended October 31, 2024, $15
million
of fair value gains previously
in
cluded in OCI relate to financial liabilities derecognized during the year (October 31, 2023 – $2 million of fair value gains).
(3)   Business and government term deposits include amounts from regulated deposit-taking institutions other than regulated banks.
(4)   Bank term deposits refer to amounts from regulated banks and central banks.
Net gains (losses) from financial instruments classified and designated as fair value through profit or loss
Financial instruments classified as FVTPL, which includes mainly trading securities, derivatives, trading liabilities, and financial assets and liabilities designated as FVTPL are measured at fair value with realized and unrealized gains and losses recognized in
Non-interest
income.
 
      For the year ended  
(Millions of Canadian dollars)
  
October 31
2024
          October 31
2023
 
Net gains (losses)
(1)
       
Classified as fair value through profit or loss
(2)
  
$
8,996
 
     $ 1,998  
Designated as fair value through profit or loss
(3)
  
 
(5,847
)
         1,499  
    
$
3,149
 
       $ 3,497  
By product line
(1)
       
Interest rate and credit
(4)
  
$
2,580
 
     $ 3,515  
Equities
  
 
389
 
       (510
Foreign exchange and commodities
  
 
180
 
         492  
    
$
 3,149
 
       $  3,497  
 
(1)   Excludes net gains from financial instruments classified as FVTPL of $2,251 million (October 31, 2023 – net losses of $107 million for financial instruments
 
classified or
designated as FVTPL) presented in Insurance investment result in the Consolidated Statements of Income.
(2)   Excludes derivatives designated in a hedging relationship. Refer to Note 9 for net gains (losses) on these derivatives.
(3)   For the year ended October 31, 2024, $5,838 million of net fair value
losses
on financial liabilities designated as FVTPL, other than those attributable to changes in our own credit risk, were included in
Non-interest
income (October 31, 2023 – gains of $1,524 million).
(4)   Includes gains (losses) recognized on cross currency interest rate swaps.
Net interest income from financial instruments
Interest and dividend income arising from financial assets and financial liabilities and the associated costs of funding are reported in Net interest income.
 
      For the year ended  
(Millions of Canadian dollars)
  
October 31
2024
          October 31
2023
 
Interest and dividend income
(1), (2)
       
Financial instruments measured at fair value through profit or loss
  
$
35,550
 
     $ 31,464  
Financial instruments measured at fair value through other comprehensive income
  
 
7,109
 
       5,127  
Financial instruments measured at amortized cost
  
 
62,292
 
         50,400  
    
 
104,951
 
         86,991  
Interest expense
(1)
       
Financial instruments measured at fair value through profit or loss
  
$
34,150
 
     $ 28,446  
Financial instruments measured at amortized cost
  
 
42,848
 
         33,416  
    
 
76,998
 
         61,862  
Net interest income
  
$
27,953
 
       $  25,129  
 
(1)   Excludes interest and dividend income of $958 million (October 31, 2023 – $677 million) and interest expense of $120 million (October 31, 2023 – $191 million) presented in Insurance investment result in the Consolidated Statements of Income.
(2)   Includes dividend income for the year ended October 31, 2024 of $3,319 million (October 31, 2023 – $3,215 million), which is presented in Interest and dividend income in the Consolidated Statements of Income.
Fee income arising from financial instruments
For the year ended October 31, 2024, we earned $6,347 million in fees from banking services (October 31, 2023 – $6,112 million). For the year ended October 31, 2024, we also earned $17,467 million in fees from investment management, trust, custodial, underwriting, brokerage and other similar fiduciary services to retail and institutional clients (October 31, 2023 – $15,319 million). These fees are included in
Non-interest
income.
Fair value of assets and liabilities measured at fair value on a recurring basis and classified using the fair value hierarchy
 
    
 
As at  
 
   
 
October 31, 2024
 
       
 
October 31, 2023 (Restated – Note 2)
 
 
   
Fair value
measurements using
   
Netting
adjustments
   
Fair value
        Fair value
measurements using
   
Netting
adjustments
    Fair value  
(Millions of Canadian dollars)
 
 
Level 1
 
 
 
Level 2
 
 
 
Level 3
 
        Level 1       Level 2       Level 3  
Financial assets
                     
Interest-bearing deposits with banks
 
$
 
 
$
53,996
 
 
$
 
 
$
 
 
 
$
53,996
 
      $     $ 60,856     $     $       $ 60,856  
Securities
                     
Trading
                     
Debt issued or guaranteed by:
                     
Canadian government
(1)
                     
Federal
 
 
11,611
 
 
 
2,173
 
 
 
 
   
 
13,784
 
      26,675       2,581               29,256  
Provincial and municipal
 
 
 
 
 
16,588
 
 
 
 
   
 
16,588
 
            16,389               16,389  
U.S. federal, state, municipal and agencies
(1), (2)
 
 
1,852
 
 
 
29,136
 
 
 
 
   
 
30,988
 
      2,249       50,439               52,688  
Other OECD government
(3)
 
 
2,481
 
 
 
2,153
 
 
 
 
   
 
4,634
 
      2,055       2,577               4,632  
Mortgage-backed securities
(1)
 
 
 
 
 
3
 
 
 
 
   
 
3
 
            2               2  
Asset-backed securities
 
 
 
 
 
1,434
 
 
 
 
   
 
1,434
 
            1,245               1,245  
Corporate debt and other debt
 
 
 
 
 
26,195
 
 
 
 
   
 
26,195
 
            22,615               22,615  
Equities
 
 
84,814
 
 
 
2,316
 
 
 
2,544
 
         
 
89,674
 
        58,826       2,232       2,266               63,324  
   
 
100,758
 
 
 
79,998
 
 
 
2,544
 
         
 
183,300
 
        89,805       98,080       2,266               190,151  
Investment
                     
Debt issued or guaranteed by:
                     
Canadian government
(1)
                     
Federal
 
 
4,623
 
 
 
8,546
 
 
 
 
   
 
13,169
 
      2,731       3,528               6,259  
Provincial and municipal
 
 
 
 
 
7,554
 
 
 
 
   
 
7,554
 
            2,748               2,748  
U.S. federal, state, municipal and agencies
(1)
 
 
42
 
 
 
80,224
 
 
 
 
   
 
80,266
 
      275       73,020               73,295  
Other OECD government
 
 
2,370
 
 
 
7,786
 
 
 
 
   
 
10,156
 
            6,192               6,192  
Mortgage-backed securities
(1)
 
 
 
 
 
2,603
 
 
 
31
 
   
 
2,634
 
            2,672       29         2,701  
Asset-backed securities
 
 
 
 
 
9,357
 
 
 
 
   
 
9,357
 
            8,706               8,706  
Corporate debt and other debt
 
 
 
 
 
31,839
 
 
 
143
 
   
 
31,982
 
            27,574       149         27,723  
Equities
 
 
432
 
 
 
304
 
 
 
506
 
         
 
1,242
 
        38       338       466               842  
   
 
7,467
 
 
 
148,213
 
 
 
680
 
         
 
156,360
 
        3,044       124,778       644               128,466  
Assets purchased under reverse repurchase agreements and securities borrowed
 
 
 
 
 
284,311
 
 
 
 
   
 
284,311
 
            285,869               285,869  
Loans
 
 
 
 
 
8,924
 
 
 
1,781
 
   
 
10,705
 
            8,742       1,859         10,601  
Other
                     
Derivatives
                     
Interest rate contracts
 
 
 
 
 
27,719
 
 
 
354
 
   
 
28,073
 
            39,243       290         39,533  
Foreign exchange contracts
 
 
 
 
 
98,480
 
 
 
3
 
   
 
98,483
 
            89,644       4         89,648  
Credit derivatives
 
 
 
 
 
273
 
 
 
 
   
 
273
 
            224               224  
Other contracts
 
 
2,553
 
 
 
23,830
 
 
 
21
 
   
 
26,404
 
      2,352       13,927       111         16,390  
Valuation adjustments
 
 
 
 
 
(1,067
 
 
14
 
         
 
(1,053
              (1,805     4               (1,801
Total gross derivatives
 
 
2,553
 
 
 
149,235
 
 
 
392
 
   
 
152,180
 
      2,352       141,233       409         143,994  
Netting adjustments
                         
 
(1,568
 
 
(1,568
                                (1,544     (1,544
Total derivatives
         
 
150,612
 
              142,450  
Other assets
 
 
5,291
 
 
 
6,472
 
 
 
7
 
         
 
11,770
 
        4,152       3,421       11               7,584  
   
$
116,069
 
 
$
731,149
 
 
$
5,404
 
 
$
(1,568
 
$
851,054
 
      $ 99,353     $ 722,979     $ 5,189     $ (1,544   $ 825,977  
Financial liabilities
                     
Deposits
                     
Personal
 
$
 
 
$
33,829
 
 
$
478
 
 
$
 
 
 
$
34,307
 
    $     $ 26,428     $ 383     $       $ 26,811  
Business and government
 
 
 
 
 
156,429
 
 
 
 
   
 
156,429
 
            137,628               137,628  
Bank
 
 
 
 
 
10,530
 
 
 
 
   
 
10,530
 
            11,462               11,462  
Other
                     
Obligations related to securities sold short
 
 
15,172
 
 
 
20,114
 
 
 
 
   
 
35,286
 
      14,391       19,260               33,651  
Obligations related to assets sold under repurchase agreements and securities loaned
 
 
 
 
 
270,663
 
 
 
 
   
 
270,663
 
            298,679               298,679  
Derivatives
                     
Interest rate contracts
 
 
 
 
 
24,852
 
 
 
847
 
   
 
25,699
 
            41,249       952         42,201  
Foreign exchange contracts
 
 
 
 
 
93,164
 
 
 
54
 
   
 
93,218
 
            81,750       53         81,803  
Credit derivatives
 
 
 
 
 
218
 
 
 
 
   
 
218
 
            176               176  
Other contracts
 
 
3,212
 
 
 
42,961
 
 
 
324
 
   
 
46,497
 
      3,119       17,306       549         20,974  
Valuation adjustments
 
 
 
 
 
(297
 
 
(4
         
 
(301
              (982     1               (981
Total gross derivatives
 
 
3,212
 
 
 
160,898
 
 
 
1,221
 
   
 
165,331
 
      3,119       139,499       1,555         144,173  
Netting adjustments
                         
 
(1,568
 
 
(1,568
                                (1,544     (1,544
Total derivatives
         
 
163,763
 
              142,629  
Other liabilities
 
 
287
 
 
 
(1,694
 
 
 
         
 
(1,407
        370       (1,296                   (926
   
$
18,671
 
 
$
650,769
 
 
$
1,699
 
 
$
(1,568
 
$
669,571
 
      $ 17,880     $ 631,660     $ 1,938     $ (1,544   $  649,934  
 
(1)   As at October 31, 2024, residential and commercial mortgage-backed securities (MBS) included in all fair value levels of trading securities were $17,154
million 
and $nil (October 31, 2023 – $14,345 million and $nil), respectively, and in all fair value levels of Investment securities were $27,048
million and $
2,568
million 
(October 31, 2023 – $24,365 million and $2,618 million), respectively.
(2)   United States (U.S.).
(3)   Organisation for Economic
Co-operation
and Development (OECD).
 
 
Fair values of our significant assets and liabilities measured on a recurring basis are determined and classified in the fair value hierarchy table using the following valuation techniques and inputs.
Interest-bearing deposits with banks
The majority of our Interest-bearing deposits with banks are designated as FVTPL. These FVTPL deposits are composed of short-dated deposits placed with banks, and are included in Interest-bearing deposits with banks in the fair value hierarchy table. The fair values of these instruments are determined using the discounted cash flow method. The inputs to the valuation models include interest rate swap curves and credit spreads, where applicable. They are classified as Level 2 instruments in the hierarchy as the inputs are observable.
Government bonds (Canadian, U.S. and other OECD governments)
Government bonds are included in Canadian government debt, U.S. federal, state, municipal and agencies debt, Other OECD government debt and Obligations related to securities sold short in the fair value hierarchy table. The fair values of government issued or guaranteed debt securities in active markets are determined by reference to recent transaction prices, broker quotes, or third-party vendor prices and are classified as Level 1 in the hierarchy. The fair values of securities that are not traded in active markets are based on either security prices, or valuation techniques using implied yields and risk spreads derived from prices of actively traded and similar government securities. Securities with observable prices or rate inputs as compared to transaction prices, dealer quotes or vendor prices are classified as Level 2 in the hierarchy. Securities where inputs are unobservable are classified as Level 3 in the hierarchy.
Corporate and U.S. municipal bonds
The fair values of corporate and U.S. municipal bonds, which are included in Corporate debt and other debt, U.S. federal, state, municipal and agencies debt and Obligations related to securities sold short in the fair value hierarchy table, are determined using either recently executed transaction prices, broker quotes, pricing services, or in certain instances, the discounted cash flow method using rate inputs such as benchmark yields (CDOR, Secured Overnight Financing Rate (SOFR) and other similar reference rates) and risk spreads of comparable securities. Securities with observable prices or rate inputs are classified as Level 2 in the hierarchy. Securities where inputs are unobservable are classified as Level 3 in the hierarchy.
Asset-backed securities and Mortgage-backed securities
Asset-backed securities (ABS) and MBS are included in Asset-backed securities, Mortgage-backed securities, Canadian government debt, U.S. federal, state, municipal and agencies debt, and Obligations related to securities sold short in the fair value hierarchy table. Inputs for valuation of ABS and MBS are, when available, traded prices, dealer or lead manager quotes, broker quotes and vendor prices of the identical securities. When prices of the identical securities are not readily available, we use industry standard models with inputs such as discount margins, yields, default, prepayment and loss severity rates that are implied from transaction prices, dealer quotes or vendor prices of comparable instruments. Where security prices and inputs are observable, ABS and MBS are classified as Level 2 in the hierarchy. Otherwise, they are classified as Level 3 in the hierarchy.
Equities
Equities consist of listed and unlisted common shares, private equities, mutual funds and hedge funds with certain redemption restrictions and are included in equities and obligations for securities sold short. The fair values of common shares are based on quoted prices in active markets, where available, and are classified as Level 1 in the hierarchy. Where quoted prices in active markets are not readily available, fair value is determined based on quoted market prices for similar securities or through valuation techniques, such as multiples of earnings and the discounted cash flow method with forecasted cash flows and discount rate as inputs. Private equities are classified as Level 3 in the hierarchy as their inputs are not observable. Hedge funds are valued using Net Asset Values (NAV). If we can redeem a hedge fund at NAV prior to the next quarter end, the fund is classified as Level 2 in the hierarchy. Otherwise, it is classified as Level 3 in the hierarchy.
Loans
Loans include base metal loans, corporate loans, banker acceptances and asset-backed financing loans. Fair values are determined based on market prices, if available, or discounted cash flow method using the following inputs: market interest rates, base metal commodity prices, market based spreads of assets with similar credit ratings and terms to maturity, LGD, expected default frequency implied from credit derivative prices, if available, and relevant pricing information such as contractual rate, origination and maturity dates, redemption price, coupon payment frequency and day count convention. Loans with market prices or observable inputs are classified as Level 2 in the hierarchy and loans with unobservable inputs that have significant impacts on the fair values are classified as Level 3 in the hierarchy.
Derivatives
The fair values of exchange-traded derivatives, such as interest rate and equity options and futures, are based on quoted market prices and are typically classified as Level 1 in the hierarchy. OTC derivatives primarily consist of interest rate contracts, foreign exchange contracts, commodity derivatives, equity derivatives and credit derivatives. The exchange-traded or OTC interest rate, foreign exchange and commodity and equity derivatives are included in Interest rate contracts, Foreign exchange contracts and Other contracts, respectively, in the fair value hierarchy table. The fair values of OTC derivatives are determined using valuation models when quoted market prices or third-party consensus pricing information are not available. The valuation models, such as discounted cash flow method or Black-Scholes option model, incorporate observable or unobservable inputs for interest and foreign exchange rates, equity and commodity prices (including indices), credit spreads, corresponding market volatility levels, and other market-based pricing factors. Other adjustments to fair value include
bid-offer,
CVA, FVA, OIS, parameter and model uncertainties, and unrealized gain or loss at inception of a transaction. A derivative instrument is classified as Level 2 in the hierarchy if observable market inputs are available or the unobservable inputs are not significant to the fair value. Otherwise, it is classified as Level 3 in the hierarchy.
 
Securities borrowed or purchased under resale agreements and securities loaned or sold under repurchase agreements
In the fair value hierarchy table, these instruments are included in Assets purchased under reverse repurchase agreements and securities borrowed, and Obligations related to assets sold under repurchase agreements and securities loaned. The fair values of these contracts are determined using valuation techniques such as the discounted cash flow method using interest rate curves as inputs. They are classified as Level 2 instruments in the hierarchy as the inputs are observable.
Deposits
A majority of our deposits are measured at amortized cost but certain deposits are designated as FVTPL. These FVTPL deposits include deposits taken from clients, issuances of certificates of deposits and promissory notes, and interest rate and equity linked notes. The fair values of these instruments are determined using the discounted cash flow method and derivative option valuation models. The inputs to the valuation models include benchmark yield curves, credit spreads, interest rates, equity and interest rate volatility, dividends and correlation, where applicable. They are classified as Level 2 or 3 instruments in the hi
era
rchy, depending on the significance of the unobservable credit spreads, volatility, dividend and correlation rates.
Quantitative information about fair value measurements using significant unobservable inputs (Level 3 Instruments)
The following table presents fair values of our significant Level 3 financial instruments, valuation techniques used to determine their fair values, ranges and weighted averages of unobservable inputs.

 
 
As at October 31, 2024 (Millions of Canadian dollars, except for prices, percentages and ratios)
 
 
 
 
 
Fair value
 
 
 
 
 
 
 
 
Range of input values
(1), (2)
 
Products
 
Reporting line in the fair value
hierarchy table
 
Assets
 
 
Liabilities
 
 
Valuation
techniques
 
Significant
unobservable
inputs (3)
 
  
 
Low
 
 
High
 
 
Weighted
average /
Inputs
distribution
 
Corporate debt and related derivatives
 
 
 
 
Price-based
 
Prices
 
 
$
64.67
 
 
$
116.25
 
 
$
92.07
 
 
Corporate debt and other debt
 
$
 
 
 
Discounted cash flows
 
Credit spread
 
 
 
1.45%
 
 
 
10.90%
 
 
 
6.17%
 
 
Loans
 
 
1,781
 
 
 
 
Credit enhancement
 
 
 
11.70%
 
 
 
15.60%
 
 
 
13.00%
 
 
 
Derivative related liabilities
 
 
 
 
 
$
2
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Government debt and municipal bonds
 
 
 
 
 
 
 
 
 
 
Corporate debt and other debt
 
 
143
 
 
 
 
 
 
Discounted cash flows
 
Yields
 
 
 
 
6.54%
 
 
 
9.55%
 
 
 
7.54%
 
Private equities, hedge fund investments and related equity derivatives
 
 
 
 
Market comparable
 
EV/EBITDA multiples
 
 
 
3.20X
 
 
 
17.20X
 
 
 
7.94X
 
 
Equities
 
 
3,050
 
 
 
Price-based
 
P/E multiples
 
 
 
7.30X
 
 
 
22.60X
 
 
 
11.27X
 
 
Derivative related liabilities
 
 
 
 
 
Discounted cash flows
 
EV/Rev multiples
 
 
 
0.70X
 
 
 
5.72X
 
 
 
2.59X
 
 
 
 
 
 
Liquidity discounts (4)
 
 
 
10.00%
 
 
 
40.00%
 
 
 
10.40%
 
 
 
 
 
 
Discount rate
 
 
 
8.50%
 
 
 
8.50%
 
 
 
8.50%
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
NAV / prices (5)
 
 
 
 
n.a.
 
 
 
n.a.
 
 
 
n.a.
 
Interest rate derivatives and interest-rate-linked structured notes (6), (7)
 
 
 
 
Discounted cash flows
 
Interest rates
 
 
 
1.89%
 
 
 
4.59%
 
 
 
Even
 
 
Derivative related assets
 
 
355
 
 
 
Option pricing model
 
CPI swap rates
 
 
 
1.84%
 
 
 
1.96%
 
 
 
Even
 
 
Derivative related liabilities
 
 
 
900
 
 
 
IR-IR
correlations
 
 
 
48.00%
 
 
 
86.00%
 
 
 
Even
 
 
 
 
 
 
FX-IR
correlations
 
 
 
(76.00)%
 
 
 
66.00%
 
 
 
Even
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
FX-FX
correlations
 
 
 
 
(74.00)%
 
 
 
61.00%
 
 
 
Even
 
Equity derivatives and equity-linked structured
notes (6), (7)
 
 
 
 
Discounted cash flows
 
Dividend yields
 
 
 
0.00%
 
 
 
10.60%
 
 
 
Lower
 
 
Derivative related assets
 
 
21
 
 
 
Option pricing model
 
Equity
(EQ)-EQ
correlations
 
 
 
6.30%
 
 
 
95.85%
 
 
 
Middle
 
 
Deposits
 
 
 
478
 
 
 
EQ-FX
correlations
 
 
 
(77.11)%
 
 
 
50.38%
 
 
 
Middle
 
 
 
Derivative related liabilities
 
 
 
 
 
 
283
 
 
 
 
EQ volatilities
 
 
 
 
6.00%
 
 
 
146.87%
 
 
 
Lower
 
Other (8)
 
 
 
 
 
 
 
 
 
 
Derivative related assets
 
 
16
 
 
 
 
 
 
 
 
 
Other assets
 
 
7
 
 
 
 
 
 
 
 
 
Mortgage-backed securities
 
 
31
 
 
 
 
 
 
 
 
 
Derivative related liabilities
 
 
 
36
 
 
 
 
 
 
 
Total
 
 
 
$
5,404
 
 
$
1,699
 
 
 
 
 
 
 
 
 
 

 
 
As at October 31, 2023 (Millions of Canadian dollars, except for prices, percentages and ratios)
 
 
 
 
 
Fair value
 
 
 
 
 
 
  
 
Range of input values (1), (2)
 
Products
 
Reporting line in the fair value
hierarchy table
 
Assets
 
 
Liabilities
 
 
Valuation
techniques
 
Significant
unobservable
inputs (3)
 
Low
 
 
High
 
 
Weighted
average /
Inputs
distribution
 
Corporate debt and related derivatives
        Price-based   Prices     $ 9.88     $ 107.13     $ 87.66  
 
Corporate debt and other debt
  $       Discounted cash flows   Credit spread       1.89%       9.96%       5.93%  
 
Loans
    1,859         Credit enhancement       11.70%       15.60%       13.00%  
   
Derivative related liabilities
          $ 2                                      
Government debt and municipal bonds
                 
 
Corporate debt and other debt
    149             Discounted cash flows   Yields         7.73%       10.38%       8.60%  
Private equities, hedge fund investments and related equity derivatives
        Market comparable   EV/EBITDA multiples       4.16X       14.90X       6.93X  
  Equities     2,732       Price-based   P/E multiples       6.60X       22.60X       8.60X  
  Derivative related liabilities           Discounted cash flows   EV/Rev multiples       1.00X       5.00X       3.00X  
          Liquidity discounts (4)       10.00%       40.00%       16.91%  
          Discount rate       8.50%       13.30%       10.70%  
                            NAV / prices (5)         n.a.       n.a.       n.a.  
Interest rate derivatives and interest-rate-linked structured notes (6), (7)
        Discounted cash flows   Interest rates       2.39%       5.18%       High  
  Derivative related assets     293       Option pricing model   CPI swap rates       1.84%       2.35%       Even  
  Derivative related liabilities       995      
IR-IR
correlations
      19.00%       67.00%       Even  
         
FX-IR
correlations
      29.00%       56.00%       Even  
                           
FX-FX
correlations
        68.00%       68.00%       Even  
Equity derivatives and equity-linked structured
notes (6), (7)
       
Discounted cash flows
 
Dividend yields
   
 
0.14%
 
 
 
10.71%
 
 
 
Lower
 
  Derivative related assets     111       Option pricing model  
Equity (EQ)-EQ correlations
      32.50%       96.49%       Middle  
  Deposits       383      
EQ-FX
correlations
      (83.15)%       38.44%       Middle  
    Derivative related liabilities             485         EQ volatilities         6.70%       110.72%       Lower  
Other (8)
                 
  Derivative related assets     5                
  Other assets     11                
  Mortgage-backed securities     29                
  Derivative related liabilities       73              
Total
      $ 5,189     $ 1,938              
 
(1)   The low and high input values represent the actual highest and lowest level inputs used to value a group of financial instruments in a particular product category. These input ranges do not reflect the level of input uncertainty, but are affected by the different underlying instruments within the product category. The input ranges will therefore vary from period to period based on the characteristics of the underlying instruments held at each balance sheet date. Where provided, the weighted average of the input values is calculated based on the relative fair values of the instruments within the product category. The weighted averages for derivatives are not presented in the table as they would not provide a comparable metric; instead, distribution of significant unobservable inputs within the range for each product category is indicated in the table.
(2)   Price-based inputs are significant for certain debt securities and are based on external benchmarks, comparable proxy instruments or
pre-quarter-end
trade data. For these instruments, the price input is expressed in dollars for each $100 par value. For example, with an input price of $105, an instrument is valued at a premium over its par value.
(3)   The significant unobservable inputs include the following: (i) Enterprise Value (EV); (ii) Earnings Before Interest, Taxes, Depreciation and Amortization (EBITDA); (iii) Price / Earnings (P/E); (iv) Revenue (Rev); (v) Consumer Price Index (CPI); (vi) Interest Rate (IR); (vii) Foreign Exchange (FX); and (viii) Equity (EQ).
(4)   Fair value of securities with liquidity discount inputs totalled $541 million (October 31, 2023 – $483 million).
(5)   NAV of a hedge fund is total fair value of assets less liabilities divided by the number of fund units. Private equities are valued based on NAV or valuation techniques. The range for NAV per unit or price per share has not been disclosed for the hedge funds or private equities due to the dispersion of prices given the diverse nature of the investments.
(6)   The level of aggregation and diversity within each derivative instrument category may result in certain ranges of inputs being wide and inputs being unevenly distributed across the range. In the table, we indicated whether the majority of the inputs are concentrated toward the upper, middle, or lower end of the range, or evenly distributed throughout the range.
(7)   The structured notes contain embedded equity or interest rate derivatives with unobservable inputs that are similar to those of the equity or interest rate derivatives.
(8)   Other primarily includes certain insignificant instruments such as auction rate securities, commodity derivatives, foreign exchange derivatives, contingent considerations, bank-owned life insurance and retractable shares.
n.a.   not applicable
Sensitivity to unobservable inputs and interrelationships between unobservable inputs
Yield, credit spreads/discount margins
A financial instrument’s yield is the interest rate used to discount future cash flows in a valuation model. An increase in the yield, in isolation, would result in a decrease in a fair value measurement and vice versa. A credit spread/discount margin is the difference between a debt instrument’s yield and a benchmark instrument’s yield. Benchmark instruments have high credit quality ratings, similar maturities and are often government bonds. The credit spread/discount margin therefore represents the discount rate used to determine the present value of future cash flows of an asset to reflect the market return required for uncertainty in the estimated cash flows. The credit spread/discount margin for an instrument forms part of the yield used in a discounted cash flow method.
Funding spread
Funding spreads are credit spreads specific to funding or deposit rates. A decrease in funding spreads, on its own, will increase the fair value of our liabilities, and vice versa.
Default rates
A default rate is the rate at which borrowers fail to make scheduled loan payments. A decrease in the default rate will typically increase the fair value of the loan, and vice versa. This effect will be significantly more pronounced for a
non-government
guaranteed loan than a government guaranteed loan.
 
Prepayment rates
A prepayment rate is the rate at which a loan will be repaid in a
dvanc
e of its expected amortization schedule. Prepayments change the future cash flows of a loan. An increase in the prepayment rate in isolation will result in an increase in fair value when the loan interest rate is lower than the current reinvestment rate, and a decrease in the prepayment rate in isolation will result in a decrease in fair value when the loan interest rate is lower than the current reinvestment rate. Prepayment rates are generally negatively correlated with interest rates.
Recovery and loss severity rates
A recovery rate is an estimation of the amount that can be collected in a loan default scenario. The recovery rate is the recovered amount divided by the loan balance due, expressed as a percentage. The inverse concept of recovery is loss severity. Loss severity rate is an estimation of the loan amount not collected when a loan defaults. The loss severity rate is the loss amount divided by the loan balance due, expressed as a percentage. Generally, an increase in the recovery rate or a decrease in the loss severity rate will increase the loan fair value, and vice versa.
Volatility rates
Volatility measures the potential variability of future prices and is often measured as the standard deviation of price movements. Volatility is an input to option pricing models used to value derivatives and issued structured notes. Volatility is used in valuing equity, interest rate, commodity and foreign exchange options. A higher volatility rate means that the underlying price or rate movements are more likely to occur. Higher volatility rates may increase or decrease an option’s fair value depending on the option’s terms. The determination of volatility rates is dependent on various factors, including but not limited to, the underlying’s market price, the strike price and maturity.
Dividend yields
A dividend yield is the underlying equity’s expected dividends expressed as an annual percentage of its price. Dividend yield is used as an input for forward equity price and option models. Higher dividend yields will decrease the forward price, and vice versa. A higher dividend yield will increase or decrease an option’s value, depending on the option’s terms.
Correlation rates
Correlation is the linear relationship between the movements in two different variables. Correlation is an input to the valuation of derivative contracts and issued structured notes when an instrument’s payout is determined by correlated variables. When variables are positively correlated, an increase in one variable will result in an increase in the other variable. When variables are negatively correlated, an increase in one variable will result in a decrease in the other variable. The referenced variables can be within a single asset class or market (equity, interest rate, commodities, credit and foreign exchange) or between variables in different asset classes (equity to foreign exchange, or interest rate to foreign exchange). Changes in correlation will either increase or decrease a financial instrument’s fair value depending on the terms of the instrument.
Interest rates
An interest rate is the percentage amount charged on a principal or notional amount. Increasing interest rates will decrease the discounted cash flow value of a financial instrument, and vice versa.
Consumer Price Index swap rates
A CPI swap rate is expressed as a percentage of an increase in the average price of a basket of consumer goods and services, such as transportation, food and medical care. An increase in the CPI swap rate will cause inflation swap payments to be larger, and vice versa.
EV/EBITDA multiples, P/E multiples, EV/Rev multiples, and liquidity discounts
Private equity valuation inputs include EV/EBITDA multiples, P/E multiples and EV/Rev multiples. These are used to calculate either enterprise value or share value of a company based on a multiple of earnings or revenue estimates. Higher multiples equate to higher fair values for all multiple types, and vice versa. A liquidity discount may be applied when few or no transactions exist to support the valuations.
Credit Enhancement
Credit enhancement is an input to the valuation of securitized transactions and is the amount of loan loss protection for a senior tranche. Credit enhancement is expressed as a percentage of the transaction sizes. An increase in credit enhancement will cause the credit spread to decrease and the tranche fair value to increase, and vice versa.
Interrelationships between unobservable inputs
Unobservable inputs, including the above discount margin, default rate, prepayment rate, and recovery and loss severity rates, may not be independent of each other. For example, the discount margin can be affected by a change in default rate, prepayment rate, or recovery and loss severity rates. Dis
co
unt margins will generally decrease when default rates decline or when recovery rates increase.
 
 
Changes in fair value measurement for instruments measured on a recurring basis and categorized in Level 3

 
  
 
For the year ended October 31, 2024
 
(Millions of Canadian dollars)
 
Fair value
at beginning
of period
 
 
Gains
(losses)
included in
earnings
 
 
Gains
(losses)
included
in OCI
 
(1)
 
 
Purchases
(issuances)
 
 
Settlement
(sales) and
other
(2)
 
 
Transfers
into
Level 3
 
 
Transfers
out of
Level 3
 
 
Fair value
at end of
period
 
 
Gains
(losses) included
in earnings for
positions still held
 
Assets
                 
Securities
                 
Trading
                 
Debt issued or guaranteed by:
                 
U.S. state, municipal and agencies
 
$
 
 
$
 
 
$
 
 
$
 
 
$
 
 
$
 
 
$
 
 
$
 
 
$
 
Asset-backed securities
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Corporate debt and other debt
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Equities
 
 
2,266
 
 
 
(195
 
 
5
 
 
 
577
 
 
 
(88
 
 
1
 
 
 
(22
 
 
2,544
 
 
 
(128
   
 
2,266
 
 
 
(195
 
 
5
 
 
 
577
 
 
 
(88
 
 
1
 
 
 
(22
 
 
2,544
 
 
 
(128
Investment
                 
Mortgage-backed securities
 
 
29
 
 
 
 
 
 
2
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
31
 
 
 
n.a.
Corporate debt and other debt
 
 
149
 
 
 
 
 
 
11
 
 
 
 
 
 
(17
 
 
 
 
 
 
 
 
143
 
 
 
n.a.
Equities
 
 
466
 
 
 
 
 
 
35
 
 
 
6
 
 
 
(3
 
 
2
 
 
 
 
 
 
506
 
 
 
n.a.
   
 
644
 
 
 
 
 
 
48
 
 
 
6
 
 
 
(20
 
 
2
 
 
 
 
 
 
680
 
 
 
n.a.
Loans
 
 
1,859
 
 
 
(25
 
 
37
 
 
 
513
 
 
 
(445
 
 
70
 
 
 
(228
 
 
1,781
 
 
 
63
 
Other
                 
Net derivative balances
(3)
                 
Interest rate contracts
 
 
(662
 
 
46
 
 
 
1
 
 
 
(47
 
 
145
 
 
 
30
 
 
 
(6
 
 
(493
 
 
51
 
Foreign exchange contracts
 
 
(49
 
 
(15
 
 
7
 
 
 
14
 
 
 
3
 
 
 
3
 
 
 
(14
 
 
(51
 
 
(9
Other contracts
 
 
(438
 
 
(139
 
 
2
 
 
 
(106
 
 
8
 
 
 
(330
 
 
700
 
 
 
(303
 
 
31
 
Valuation adjustments
 
 
3
 
 
 
 
 
 
 
 
 
(4
 
 
19
 
 
 
 
 
 
 
 
 
18
 
 
 
 
Other assets
 
 
11
 
 
 
 
 
 
 
 
 
 
 
 
(4
 
 
 
 
 
 
 
 
7
 
 
 
 
   
$
3,634
 
 
$
(328
 
$
100
 
 
$
953
 
 
$
(382
 
$
(224
 
$
430
 
 
$
4,183
 
 
$
8
 
Liabilities
                 
Deposits
 
$
(383
 
$
(119
 
$
 
 
$
(583
 
$
165
 
 
$
(120
 
$
562
 
 
$
(478
 
$
(40
   
$
(383
 
$
(119
 
$
 
 
$
(583
)
 
$
165
 
 
$
(120
 
$
562
 
 
$
(478
)
 
$
(40
                                                       
     For the year ended October 31, 2023  
(Millions of Canadian dollars)   Fair value
at beginning
of period
    Gains
(losses)
included in
earnings
    Gains
(losses)
included
in OCI (1)
    Purchases
(issuances)
    Settlement
(sales) and
other (2)
    Transfers
into
Level 3
    Transfers
out of
Level 3
    Fair value
at end of
period
    Gains
(losses) included
in earnings for
positions still held
 
Assets
                 
Securities
                 
Trading
                 
Debt issued or guaranteed by:
                 
U.S. state, municipal and agencies
  $ 4     $     $     $     $ (4   $     –     $     $     $  
Asset-backed securities
    2                         (2                        
Corporate debt and other debt
    7                   2       (16     17       (10            
Equities
    1,874       (196     21       586       (67     48             2,266       (154
      1,887       (196     21       588       (89     65       (10     2,266       (154
Investment
                 
Mortgage-backed securities
    28                   1                         29       n.a.
Corporate debt and other debt
    151             9             (11                 149       n.a.
Equities
    397             70       1       (2                 466       n.a.
      576             79       2       (13                 644       n.a.
Loans
    1,692       (95     33       1,443       (868     30       (376     1,859       (44
Other
                 
Net derivative balances
(3)
                 
Interest rate contracts
    (859     (63     5       (48     235       42       26       (662     (43
Foreign exchange contracts
    (132     10       10       (14     44             33       (49     8  
Other contracts
    (785     83       4       (143     78       (159     484       (438     152  
Valuation adjustments
    53                         (50                 3        
Other assets
    15             1             (5                 11        
    $  2,447     $ (261   $   153     $   1,828     $ (668   $ (22   $   157     $  3,634     $ (81
Liabilities
                 
Deposits
  $ (241   $     5     $     $ (260   $    23     $ (134   $ 224     $ (383   $   24  
    $ (241   $ 5     $     $ (260   $ 23     $ (134   $ 224     $ (383   $ 24  
 
(1)   These amounts include the foreign currency translation gains or losses arising on consolidation of foreign subsidiaries relating to the Level 3 instruments, where applicable. The unrealized gains on Investment securities recognized in OCI were $38 million for the year ended October 31, 2024 (October 31, 2023 – gains of $65 million) excluding the translation gains or losses arising on consolidation.
(2)   Other includes amortization of premiums or discounts recognized in net income.
(3)   Net derivatives as at October 31, 2024 included derivative assets of $392
million
(October 31, 2023 – $409 million) and derivative liabilities of $1,221
million
(October 31, 2023 – $1,555 million).
n.a.   not applicable
 
Transfers between fair value hierarchy levels for instruments carried at fair value on a recurring basis
Transfers between Level 1 and Level 2, and transfers into and out of Level 3 are assumed to occur at the end of the period. For an asset or a liability that transfers into Level 3 during the period, the entire change in fair value for the period is excluded from the Gains (losses) included in earnings for positions still held column of the above reconciliation, whereas for transfers out of Level 3 during the period, the entire change in fair value for the period is included in the same column of the above reconciliation.
Transfers between Level 1 and 2 are dependent on whether fair value is obtained on the basis of quoted market prices in active markets (Level 1).
During the year ended October 31, 2024, transfers out of Level 1 to Level 2 included Investment U.S. federal, state, municipal and agencies debt of $1,038 million and Trading U.S. federal, state, municipal and agencies debt of $822 million. During the year ended October 31, 2023, transfers out of Level 1 to Level 2 included Trading U.S. federal, state, municipal and agencies debt of $763 million, Investment U.S. federal, state, municipal and agencies debt of $435 million and Obligations related to securities sold short of $151 million.
During the year
s
ended October 31, 2024 and October 31, 2023, there were no significant transfers out of Level 2 to Level 1.
Transfers between Level 2 and Level 3 are primarily due to either a change in the market observability for an input, or a change in an unobservable input’s significance to a financial instrument’s fair value.
During the year ended October 31, 2024, transfers out of Level 2 to Level 3 included Other contracts and Deposits due to changes in the significance of unobservable inputs and changes in the market observability of inputs. During the year ended October 31, 2023, transfers out of Level 2 to Level 3 included Other contracts and Deposits due to changes in the significance of unobservable inputs and changes in the market observability of inputs.
During the year ended October 31, 2024, transfers out of Level 3 to Level 2 included Other contracts, Deposits and Loans due to changes in the significance of unobservable inputs and changes in the market observability of inputs. During the year ended October 31, 2023, transfers out of Level 3 to Level 2 included Other contracts, Loans and Deposits due to changes in the market observability of inputs and changes in the significance of unobservable inputs.
Positive and negative fair value movements of Level 3 financial instruments from using reasonably possible alternative assumptions
A financial instrument is classified as Level 3 in the fair value hierarchy if one or more of its unobservable inputs may significantly affect the measurement of its fair value. In preparing the financial statements, appropriate levels for these unobservable input parameters are chosen so that they are consistent with prevailing market evidence or management judgment. Due to the unobservable nature of the prices or rates, there may be uncertainty about the valuation of these Level 3 financial instruments.
The following table summarizes the impacts to fair values of Level 3 financial instruments using reasonably possible alternative assumptions. This sensitivity disclosure is intended to illustrate the potential impact of the relative uncertainty in the fair value of Level 3 financial instruments. In reporting the sensitivities below, we offset balances in instances where: (i) the move in valuation factors cause an offsetting positive and negative fair value movement, (ii) both offsetting instruments are in Level 3, and (iii) exposures are managed and reported on a net basis. With respect to overall sensitivity, it is unlikely in pr
ac
tice that all reasonably possible alternative assumptions would simultaneously be realized.
 
     As at            
 
 
October 31, 2024
 
 
 
 
October 31, 2023
 
(Millions of Canadian dollars)
 
Level 3
fair value
 
 
Positive fair value
movement from
using reasonably
possible
alternatives
 
 
Negative fair value
movement from
using reasonably
possible
alternatives
 
 
  
 
Level 3
fair value
 
 
Positive fair value
movement from
using reasonably
possible
alternatives
 
 
Negative fair value
movement from
using reasonably
possible
alternatives
 
Securities
 
 
 
 
 
 
 
Trading
 
 
 
 
 
 
 
Equities
 
$
2,544
 
 
$
50
 
 
$
(46
)
    $ 2,266     $ 50     $ (43
Investment
             
Mortgage-backed securities
 
 
31
 
 
 
4
 
 
 
(4
)
      29       4       (4
Corporate debt and other debt
 
 
143
 
 
 
9
 
 
 
(8
)
      149       11       (10
Equities
 
 
506
 
 
 
45
 
 
 
(44
)
      466       48       (47
Loans
 
 
1,781
 
 
 
19
 
 
 
(20
)
      1,859       33       (37
Derivatives
 
 
392
 
 
 
5
 
 
 
(4
)
      409       10       (7
Other assets
 
 
7
 
 
 
 
 
 
      –
 
 
 
    11                   –  
 
 
$
  5,404
 
 
$
    132
 
 
$
(126
)
 
 
  $   5,189     $     156     $ (148
Deposits
 
$
(478
)
 
$
15
 
 
$
(15
)
    $ (383   $ 26     $ (26
Derivatives
 
 
(1,221
)
 
 
54
 
 
 
(57
)
      (1,555     59       (66
 
 
$
(1,699
)
 
$
69
 
 
$
(72
)
 
 
  $ (1,938   $ 85     $ (92
Sensitivity results
As at October 31, 2024, the effects of applying other reasonably possible alternative assumptions to the Level 3 asset positions would be an increase of $132 million and a reduction of $126 million in fair value, of which $58 million and $56 million would be recorded in Other components of equity, respectively. The effects of applying these assumptions to the Level 3 liability positions would result in a decrease of $69 million and an increase of $72 million in fair value.
 
Level 3 valuation inputs and approaches to developing reasonably possible alternative assumptions
The following is a summary of the unobservable inputs used in the valuation of the Level 3 instruments and our approaches to developing reasonably possible alternative assumptions used to determine sensitivity.
 
Financial assets or
liabilities
  
Sensitivity methodology
Asset-backed securities, corporate debt, government debt, municipal bonds and loans    Sensitivities are determined based on adjusting, plus or minus one standard deviation, the
bid-offer
spreads or input prices if a sufficient number of prices are received, adjusting input parameters such as credit spreads or using high and low vendor prices as reasonably possible alternative assumptions.
Private equities, hedge fund investments and related equity derivatives    Sensitivity of direct private equity investments is determined by (i) adjusting the discount rate by 2% when the discounted cash flow method is used to determine fair value, (ii) adjusting the price multiples based on the range of multiples of comparable companies when price-multiples-based models are used, or (iii) using an alternative valuation approach. The private equity fund, hedge fund and related equity derivative NAVs are provided by the fund managers, and as a result, there are no other reasonably possible alternative assumptions for these investments.
Interest rate derivatives    Sensitivities of interest rate and cross currency swaps are derived using plus or minus one standard deviation of the inputs, and an amount representing model and parameter uncertainty, where applicable.
Equity derivatives    Sensitivity of the Level 3 position is determined by shifting the unobservable model inputs by plus or minus one standard deviation of the pricing service market data including volatility, dividends or correlations, as applicable.
Bank funding and deposits    Sensitivities of deposits are calculated by shifting the funding curve by plus or minus certain basis points.
Structured notes    Sensitivities for interest-rate-linked and equity-linked structured notes are derived by adjusting inputs by plus or minus one standard deviation, and for other deposits, by estimating a reasonable move in the funding curve by plus or minus certain basis points.
Fair value for financial instru
ments that are carried at amortized cost and classified using the fair value hierarchy
 
  
 
As at October 31, 2024
 
 
 
Fair value
approximates
carrying value
(1)
 
  
Fair value may not approximate carrying value
 
  
 
 
 
  
Fair value measurements using
 
  
 
 
  
Total
fair value
 
(Millions of Canadian dollars)
  
Level 1
 
  
Level 2
 
  
Level 3
 
  
Total
 
Interest-bearing deposits with banks
 
$
12,024
 
  
$
 
  
$
 
  
$
 
  
$
 
  
$
12,024
 
Amortized cost securities
(2)
 
 
 
  
 
68
 
  
 
96,268
 
  
 
 
  
 
96,336
 
  
 
96,336
 
Assets purchased under reverse repurchase agreements and securities borrowed
 
 
54,331
 
  
 
 
  
 
12,161
 
  
 
 
  
 
12,161
 
  
 
66,492
 
Loans
                
Retail
 
 
79,960
 
  
 
 
  
 
533,708
 
  
 
5,652
 
  
 
539,360
 
  
 
619,320
 
Wholesale
 
 
16,022
 
  
 
 
  
 
321,684
 
  
 
7,855
 
  
 
329,539
 
  
 
345,561
 
   
 
95,982
 
  
 
 
  
 
855,392
 
  
 
13,507
 
  
 
868,899
 
  
 
964,881
 
Other assets
 
 
49,414
 
  
 
 
  
 
412
 
  
 
267
 
  
 
679
 
  
 
50,093
 
   
 
211,751
 
  
 
68
 
  
 
964,233
 
  
 
13,774
 
  
 
978,075
 
  
 
1,189,826
 
Deposits
                
Personal
 
 
273,228
 
  
 
 
  
 
216,675
 
  
 
267
 
  
 
216,942
 
  
 
490,170
 
Business and government
 
 
443,077
 
  
 
 
  
 
241,204
 
  
 
467
 
  
 
241,671
 
  
 
684,748
 
Bank
 
 
23,942
 
  
 
 
  
 
13,241
 
  
 
 
  
 
13,241
 
  
 
37,183
 
   
 
740,247
 
  
 
 
  
 
471,120
 
  
 
734
 
  
 
471,854
 
  
 
1,212,101
 
Obligations related to assets sold under repurchase agreements and securities loaned
 
 
34,658
 
  
 
 
  
 
 
  
 
 
  
 
 
  
 
34,658
 
Other liabilities
 
 
51,561
 
  
 
 
  
 
1,983
 
  
 
16,306
 
  
 
18,289
 
  
 
69,850
 
Subordinated debentures
 
 
 
  
 
 
  
 
13,602
 
  
 
 
  
 
13,602
 
  
 
13,602
 
   
$
 826,466
 
  
$
 
  
$
 486,705
 
  
$
 17,040
 
  
$
 503,745
 
  
$
 1,330,211
 
                                          
 
  
 
As at October 31, 2023 (Restated – Note 2)
 
 
 
Fair value
approximates
carrying value
(1)
 
  
Fair value may not approximate carrying value
 
  
 
 
 
  
Fair value measurements using
 
  
 
 
  
Total
fair value
 
(Millions of Canadian dollars)
  
Level 1
 
  
Level 2
 
  
Level 3
 
  
Total
 
Interest-bearing deposits with banks
  $ 10,230      $      $      $      $      $ 10,230  
Amortized cost securities
(2)
           34        83,633               83,667        83,667  
Assets purchased under reverse repurchase agreements and securities borrowed
    39,528               14,794               14,794        54,322  
Loans
                
Retail
    70,606               466,962        4,912        471,874        542,480  
Wholesale
    8,231               254,342        6,270        260,612        268,843  
 
    78,837               721,304        11,182        732,486        811,323  
Other assets
    67,313               914        223        1,137        68,450  
 
    195,908        34        820,645        11,405        832,084        1,027,992  
Deposits
                
Personal
    252,779               159,669        438        160,107        412,886  
Business and government
    385,727               218,761        772        219,533        605,260  
Bank
    16,902               16,251        7        16,258        33,160  
 
    655,408               394,681        1,217        395,898        1,051,306  
Obligations related to assets sold under repurchase agreements and securities loaned
    36,559                                    36,559  
Other liabilities
    77,021               1,856        13,564        15,420        92,441  
Subordinated debentures
                  11,213               11,213        11,213  
 
  $  768,988      $      $  407,750      $  14,781      $  422,531      $  1,191,519  
 
(1)   Certain financial instruments have not been assigned to a level as the carrying amount approximates their fair values.
(2)   Included in Securities – Investment, net of applicable allowance on the Consolidated Balance Sheets.
Fair values of financial assets and liabilities carried at amortized cost and disclosed in the table above are determined using the following valuation techniques and inputs.
Amortized cost securities
Fair values of government bonds, corporate bonds, and ABS are based on quoted prices. Fair values of certain
Non-OECD
government bonds are based on vendor prices or the discounted cash flow method with yield curves of other countries’ government bonds as inputs. For ABS, where market prices are not available, the fair value is determined using the discounted cash flow method. The inputs to the valuation model generally include market interest rates, spreads and yields derived from comparable securities, prepayment, and LGD.
Assets purchased under reverse repurchase agreements and securities borrowed, and Obligations related to assets sold under repurchase agreements and securities loaned
Valuation methods used for the long-term instruments are described in the Fair value of assets and liabilities measured on a recurring basis and classified using the fair value hierarchy section of this note. The carrying values of short-term instruments generally approximate their fair values.
Loans – Retail
Retail loans include residential mortgages, personal and small business loans and credit cards. For residential mortgages, and personal and small business loans, we segregate the portfolio based on certain attributes such as product type, contractual interest rate, term to maturity and credit scores, if applicable. Fair values of these loans are determined by the discounted cash flow method using applicable inputs such as prevailing interest rates, contractual and posted client rates, client discounts, credit spreads, prepayment rates and
loan-to-value
(LTV) ratios. Fair values of credit card receivables are also calculated based on a discounted cash flow method with portfolio yields, write-offs and monthly payment rates as inputs. The carrying values of short-term and variable rate loans generally ap
pro
ximate their fair values.
Loans – Wholesale
Where market prices are available, wholesale loans are valued based on market prices. Otherwise, fair value is determined by the discounted cash flow method using the following inputs: market interest rates and market based spreads of assets with similar credit ratings and terms to maturity, LGD, expected default frequency implied from credit default swap prices, if available, and relevant pricing information such as contractual rate, origination and maturity dates, redemption price, coupon payment frequency and date convention.
 
 
Deposits
Deposits are comprised of demand, notice, and term deposits which include senior deposit notes we have issued to provide us with long-term funding. Fair values of term deposits are determined by one of several valuation techniques: (i) for term deposits and similar instruments, we segregate the portfolio based on term to maturity. Fair values of these instruments are determined by the discounted cash flow method using inputs such as client rates for new sales of the corresponding terms; and (ii) for senior deposit notes, we use actual traded prices, vendor prices or the discounted cash flow method using a market interest rate curve and our funding spreads as inputs. The carrying values of demand, notice, and short-term term deposits generally approximate their fair values.
Other assets and Other liabilities
Other assets and Other liabilities include receivables and payables relating to certain commodities. Fair values of the commodity receivables and payables are calculated by the discounted cash flow method using applicable inputs such as market interest rates, counterparties’ credit spreads, our funding spreads, commodity forward prices and spot prices.
Subordinated debentures
Fair values of Subordinated debentures are based on market prices, dealer quotes or vendor prices when available. Where prices cannot be observed, fair value is determined using the discounted cash flow method, with applicable inputs such as market interest rates and credit spreads.