v3.24.3
Derivative financial instruments and hedging activities
12 Months Ended
Oct. 31, 2024
Text Block [Abstract]  
Derivative financial instruments and hedging activities
Note 9 Derivative financial instruments and hedging activities
Derivative instruments are categorized as either financial or non-financial derivatives. Financial derivatives are financial contracts whose value is derived from an underlying interest rate, foreign exchange rate, credit risk, and equity or equity index. Non-financial derivatives are contracts whose value is derived from a precious metal, commodity instrument or index. The notional amount of derivatives represents the contract amount used as a reference point to calculate payments. Notional amounts are generally not exchanged by counterparties, and do not reflect our EAD.
Financial derivatives
Forwards and futures
Forward contracts are non-standardized agreements that are transacted between counterparties in the OTC market, whereas futures are standardized contracts with respect to amounts and settlement dates, and are traded on regular futures exchanges. Examples of forwards and futures are described below.
Interest rate forwards (forward rate agreements) and futures are contractual obligations to buy or sell an interest-rate sensitive financial instrument on a predetermined future date at a specified price.
Foreign exchange forwards and futures are contractual obligations to exchange one currency for another at a specified price for settlement at a predetermined future date.
Equity forwards and futures are contractual obligations to buy or sell at a fixed value (the specified price) of an equity index, a basket of stocks or a single stock at a predetermined future date.
 
 
Swaps
Swaps are OTC contracts in which two counterparties exchange a series of cash flows based on agreed upon rates applied to a notional amount. Examples of swap agreements are described below.
Interest rate swaps are agreements where two counterparties exchange a series of payments based on different interest rates applied to a notional amount in a single currency. Certain interest rate swaps are transacted and settled through clearing houses which act as central counterparties. Cross currency swaps involve the exchange of fixed payments in one currency for the receipt of fixed payments in another currency. Cross currency interest rate swaps involve the exchange of both interest and notional amounts in two different currencies.
Equity swaps are contracts in which one counterparty agrees to pay or receive from the other cash flows based on changes in the value of an equity index, a basket of stocks or a single stock.
Options
Options are contractual agreements under which the seller (writer) grants the purchaser the right, but not the obligation, either to buy (call option) or sell (put option) a security, exchange rate, interest rate, or other financial instrument or commodity at a specified price, at or by a predetermined future date. The seller (writer) of an option can also settle the contract by paying the cash settlement value of the purchaser’s right. The seller (writer) receives a premium from the purchaser for this right. The various option agreements that we enter into include but are not limited to interest rate options, foreign currency options, equity options and index options.
Credit derivatives
Credit derivatives are OTC contracts that transfer credit risk related to an underlying financial instrument (referenced asset) from one counterparty to another. Certain credit default swaps are transacted and settled through clearing houses which act as central counterparties. Credit derivatives include credit default swaps, credit default baskets and total return swaps.
Credit default swaps provide protection against the decline in the value of the referenced asset as a result of specified credit events such as default or bankruptcy. They are similar in structure to an option, whereby the purchaser pays a premium to the seller of the credit default swap in return for payment contingent on a credit event affecting the referenced asset.
Credit default baskets are similar to credit default swaps except that the underlying referenced financial instrument is a group of assets instead of a single asset.
Total return swaps are contracts where one counterparty agrees to pay or receive from the other cash amounts based on changes in the value of a referenced asset or group of assets, including any returns such as interest earned on these assets, in exchange for amounts that are based on prevailing market funding rates.
Other derivative products
Other derivative products include stable value derivatives.
Non-financial derivatives
Other contracts also include non-financial derivative products such as precious metal and commodity derivative contracts in both the OTC and exchange markets.
Derivatives issued for trading purposes
Most of our derivative transactions relate to client-driven sales and trading activities, and associated market risk hedging. Sales activities include the structuring and marketing of derivative products to clients, enabling them to modify or reduce risks. Trading involves market-making, positioning and arbitrage activities. Market-making involves quoting bid and offer prices to other market participants with the intention of generating revenue based on spread and volume. Positioning involves the active management of derivative transactions with the expectation of profiting from favourable movements in prices, rates, or indices. Arbitrage activities involve identifying and profiting from price differentials between markets and product types.
Derivatives issued for other-than-trading purposes
We also use derivatives for purposes other than trading, primarily for hedging, in conjunction with the management of interest rate, credit, equity and foreign exchange risk related to our funding, lending, investment activities and asset/liability management.
Interest rate swaps are used to manage our exposure to interest rate risk by modifying the repricing or maturity characteristics of existing and/or forecasted assets and liabilities, including funding and investment activities. Purchased options are used to hedge redeemable deposits and other options embedded in consumer products. We manage our exposure to foreign currency risk with cross currency swaps and foreign exchange forward contracts. We predominantly use credit derivatives to manage our credit exposures. We mitigate industry sector concentrations and single-name exposures related to our credit portfolio by purchasing credit derivatives to transfer credit risk to third parties.
Certain derivatives and cash instruments are specifically designated and qualify for hedge accounting. We also enter into derivative transactions to economically hedge certain exposures that do not otherwise qualify for hedge accounting, or where hedge accounting is not considered economically feasible to implement.
 
 
Notional amount of derivatives by term to maturity (absolute amounts)
(1)
 
    
As at October 31, 2024
 
   
Term to maturity
             
(Millions of Canadian dollars)
 
Within
1 year
   
1 through
5 years
   
Over
5 years
   
Total
   
Trading
   
Other than
Trading
 
Over-the-counter contracts
           
Interest rate contracts
           
Forward rate agreements
 
$
1,097,367
 
 
$
672,436
 
 
$
7,017
 
 
$
1,776,820
 
 
$
1,776,820
 
 
$
 
Swaps
 
 
6,181,369
 
 
 
8,714,891
 
 
 
5,597,447
 
 
 
20,493,707
 
 
 
19,291,405
 
 
 
1,202,302
 
Options purchased
 
 
206,649
 
 
 
407,730
 
 
 
155,843
 
 
 
770,222
 
 
 
770,181
 
 
 
41
 
Options written
 
 
217,379
 
 
 
384,448
 
 
 
179,408
 
 
 
781,235
 
 
 
781,113
 
 
 
122
 
Foreign exchange contracts
           
Forward contracts
 
 
2,939,019
 
 
 
136,442
 
 
 
7,465
 
 
 
3,082,926
 
 
 
2,966,914
 
 
 
116,012
 
Cross currency swaps
 
 
23,204
 
 
 
108,912
 
 
 
75,843
 
 
 
207,959
 
 
 
199,481
 
 
 
8,478
 
Cross currency interest rate swaps
 
 
1,298,173
 
 
 
2,544,878
 
 
 
1,380,858
 
 
 
5,223,909
 
 
 
5,168,677
 
 
 
55,232
 
Options purchased
 
 
475,980
 
 
 
75,804
 
 
 
2,015
 
 
 
553,799
 
 
 
553,799
 
 
 
 
Options written
 
 
488,878
 
 
 
66,828
 
 
 
983
 
 
 
556,689
 
 
 
556,689
 
 
 
 
Credit derivatives
(2)
 
 
4,055
 
 
 
135,505
 
 
 
118,732
 
 
 
258,292
 
 
 
257,333
 
 
 
959
 
Other contracts
(3)
 
 
389,424
 
 
 
149,475
 
 
 
10,122
 
 
 
549,021
 
 
 
538,604
 
 
 
10,417
 
Exchange-traded contracts
           
Interest rate contracts
           
Futures – long positions
 
 
93,985
 
 
 
45,015
 
 
 
56
 
 
 
139,056
 
 
 
139,056
 
 
 
 
Futures – short positions
 
 
114,425
 
 
 
64,759
 
 
 
301
 
 
 
179,485
 
 
 
179,244
 
 
 
241
 
Options purchased
 
 
7,075
 
 
 
991
 
 
 
 
 
 
8,066
 
 
 
8,066
 
 
 
 
Options written
 
 
2,262
 
 
 
14
 
 
 
 
 
 
2,276
 
 
 
2,276
 
 
 
 
Foreign exchange contracts
           
Futures – long positions
 
 
1
 
 
 
 
 
 
 
 
 
1
 
 
 
1
 
 
 
 
Other contracts
 
 
367,023
 
 
 
68,132
 
 
 
2,574
 
 
 
437,729
 
 
 
437,729
 
 
 
 
 
 
$
  13,906,268
 
 
$
 13,576,260
 
 
$
 7,538,664
 
 
$
 35,021,192
 
 
$
 33,627,388
 
 
$
 1,393,804
 
 
     As at October 31, 2023  
    Term to maturity              
(Millions of Canadian dollars)
  Within
1 year
    1 through
5 years
    Over
5 years
    Total     Trading     Other than
Trading
 
Over-the-counter contracts
           
Interest rate contracts
           
Forward rate agreements
  $ 1,008,978     $ 691,397     $ 358     $ 1,700,733     $ 1,700,733     $  
Swaps
    4,220,675       6,651,849       4,418,165       15,290,689       14,169,938       1,120,751  
Options purchased
    162,845       420,341       166,275       749,461       749,257       204  
Options written
    144,138       412,239       179,532       735,909       735,562       347  
Foreign exchange contracts
           
Forward contracts
    2,336,565       106,069       4,082       2,446,716       2,363,796       82,920  
Cross currency swaps
    30,098       88,625       74,538       193,261       189,100       4,161  
Cross currency interest rate swaps
    972,658       2,055,058       1,141,295       4,169,011       4,107,125       61,886  
Options purchased
    244,721       73,407       2,663       320,791       320,791        
Options written
    254,534       71,039       2,305       327,878       327,878        
Credit derivatives
(2)
    11,709       108,637       114,463       234,809       234,066       743  
Other contracts
(3)
    261,528       140,225       13,088       414,841       401,373       13,468  
Exchange-traded contracts
           
Interest rate contracts
           
Futures – long positions
    103,195       24,283       1       127,479       126,879       600  
Futures – short positions
    99,792       54,817       1       154,610       154,445       165  
Options purchased
    12,801       3             12,804       12,804        
Options written
    11,206       1,468             12,674       12,674        
Foreign exchange contracts
           
Futures – long positions
    124                   124       124        
Other contracts
    571,970       154,677       4,586       731,233       731,233        
 
  $   10,447,537     $  11,054,134     $  6,121,352     $  27,623,023     $  26,337,778     $  1,285,245  
 
(1)   The derivative notional amounts are determined using the standardized approach for measuring counterparty credit risk (SA-CCR) in accordance with the Capital Adequacy Requirements (CAR).
(2)   Credit derivatives with a notional value of $1 billion (October 31, 2023 – $1 billion) are economic hedges. Trading credit derivatives comprise protection purchased of $135 billion (October 31, 2023 – $119 billion) and protection sold of $122 billion (October 31, 2023 – $115 billion).
(3)   Other contracts exclude loan underwriting commitments of $3 billion (October 31, 2023 – $2 billion), which are not classified as derivatives under CAR guidelines.
Fair value of derivative instruments
(1)
 
  
 
   As at     
 
 
 
October 31, 2024
 
 
 
 
October 31, 2023
 
(Millions of Canadian dollars)
 
Positive
 
 
Negative
 
 
  
 
Positive
 
 
Negative
 
Held or issued for trading purposes
 
 
 
 
 
Interest rate contracts
 
 
 
 
 
Forward rate agreements
 
$
147
 
 
$
68
 
    $ 76     $ 24  
Swaps
 
 
21,155
 
 
 
16,482
 
      26,320       22,965  
Options purchased
 
 
5,556
 
 
 
 
      11,230        
Options written
 
 
 
 
 
6,049
 
              11,776  
   
 
26,858
 
 
 
22,599
 
        37,626       34,765  
Foreign exchange contracts
         
Forward contracts
 
 
26,339
 
 
 
23,758
 
      22,972       22,655  
Cross currency swaps
 
 
7,316
 
 
 
4,912
 
      7,370       5,815  
Cross currency interest rate swaps
 
 
60,105
 
 
 
59,733
 
      55,268       46,550  
Options purchased
 
 
2,407
 
 
 
 
      2,623        
Options written
 
 
 
 
 
1,800
 
              1,790  
   
 
96,167
 
 
 
90,203
 
        88,233       76,810  
Credit derivatives
 
 
270
 
 
 
216
 
      175       176  
Other contracts
 
 
26,325
 
 
 
46,420
 
        16,319       20,865  
   
 
149,620
 
 
 
159,438
 
        142,353       132,616  
Held or issued for other-than-trading purposes
         
Interest rate contracts
         
Swaps
 
 
1,215
 
 
 
3,100
 
        1,907       7,436  
   
 
1,215
 
 
 
3,100
 
        1,907       7,436  
Foreign exchange contracts
         
Forward contracts
 
 
1,235
 
 
 
682
 
      860       509  
Cross currency swaps
 
 
207
 
 
 
46
 
             
Cross currency interest rate swaps
 
 
874
 
 
 
2,287
 
        555       4,484  
   
 
2,316
 
 
 
3,015
 
        1,415       4,993  
Credit derivatives
 
 
3
 
 
 
2
 
      49        
Other contracts
 
 
79
 
 
 
77
 
        71       109  
   
 
3,613
 
 
 
6,194
 
        3,442       12,538  
Total gross fair values before:
 
 
153,233
 
 
 
165,632
 
      145,795       145,154  
Valuation adjustments determined on a pooled basis
 
 
(1,053
)
 
 
 
(301
)
 
      (1,801     (981
Impact of netting agreements that qualify for balance sheet offset
 
 
(1,568
)
 
 
(1,568
)
        (1,544     (1,544
   
$
 150,612
 
 
$
 163,763
 
      $  142,450     $  142,629  
 
(1)   The fair value reflects the impact of characterizing the daily variation margin as settlement of the related derivative fair values as permitted by certain central counterparties.
Fair value of derivative instruments by term to maturity
(1)
 
        As at  
   
October 31, 2024
        October 31, 2023  
(Millions of Canadian dollars)
 
 Less than
1 year
   
1 through
5 years
   
Over
5 years
   
Total
         Less than
1 year
    1 through
5 years
    Over
5 years
    Total  
Derivative assets
 
$
 54,660
 
 
 
48,765
 
 
 
47,187
 
 
$
 150,612
 
    $  46,148       52,165       44,137     $  142,450  
Derivative liabilities
 
 
67,886
 
 
 
51,170
 
 
 
44,707
 
 
 
163,763
 
        47,707       51,690       43,232       142,629  
 
(1)   The fair value reflects the impact of characterizing the daily variation margin as settlement of the related derivative fair values as permitted by certain central counterparties.
Interest rate benchmark reform
We use interest rate contracts in fair value hedges and cash flow hedges to manage our exposure to interest rate risk from our existing and/or forecast assets and liabilities. We also use foreign denominated deposit liabilities in net investment hedges to manage the foreign exchange risk arising from our investments in foreign operations. The hedging instruments designated to manage these risks referenced IBORs in multiple jurisdictions and were affected by the Reform as the markets transitioned to ABRs as discussed in Note 2.
The notional amounts of our interest rate contracts and total return swaps which referenced IBORs and were affected by the Reform are no longer material to our financial statements (October 31, 2023 – $
115 billion and $1 billion, respectively).
 
Derivative-related credit risk
Credit risk from derivative transactions is generated by the potential for the counterparty to default on its contractual obligations when one or more transactions have a positive market value to us. Therefore, derivative-related credit risk is represented by the positive fair value of the instrument and is normally a small fraction of the contract’s notional amount.
We subject our derivative transactions to the same credit approval, limit and monitoring standards that we use for managing other transactions that create credit exposure. This includes evaluating the creditworthiness of counterparties, and managing the size, diversification and maturity structure of the portfolio. Credit utilization for all products is compared with established limits on a continual basis and is subject to a standard exception reporting process. We use a single internal rating system for all credit risk exposure, as outlined in the internal ratings maps in the Credit risk section of Management’s Discussion and Analysis.
Offsetting is a technique that can reduce credit exposure from derivatives and is generally facilitated through the use of master netting agreements and achieved when specific criteria are met in accordance with our accounting policy in Note 2. A master netting agreement provides for a single net settlement of all financial instruments covered by the agreement in the event of default. However, credit risk is reduced only to the extent that our financial obligations to the same counterparty can be set off against obligations of the counterparty to us. We maximize the use of master netting agreements to reduce derivative-related credit exposure. Our overall exposure to credit risk that is reduced through master netting agreements may change substantially following the reporting date as the exposure is affected by each transaction subject to the agreement as well as by changes in underlying market rates. Measurement of our credit exposure arising out of derivative transactions is reduced to reflect the effects of netting in cases where the enforceability of that netting is supported by appropriate legal analysis as documented in our trading credit risk policies.
The use of collateral is another significant credit mitigation technique for managing derivative-related counterparty credit risk. Mark-to-market provisions in our agreements with some counterparties, typically in the form of a Credit Support Annex, provide us with the right to request that the counterparty collateralize the current market value of its derivatives positions when the value exceeds a specified threshold amount.
Replacement cost and credit equivalent amounts are determined using SA-CCR in accordance with the OSFI CAR guidelines. The replacement cost represents the total fair value of all outstanding contracts in a gain position after factoring in the master netting agreements and applicable margins. The credit equivalent amount is defined as the replacement cost plus an additional amount for potential future credit exposure, scaled by a regulatory factor. The risk-weighted equivalent is determined by applying appropriate risk-weights to the credit equivalent amount, including those risk weights reflective of model approval under the internal ratings based approach.
Derivative-related credit risk
(1)
 
  
 
  As at
 
 
 
October 31, 2024
 
 
 
 
 
October 31, 2023
 
(Millions of Canadian dollars)
 
Replacement
cost
 
  
Credit
equivalent
amount
 
  
Risk-weighted

equivalent 
(2), (3)
 
 
  
 
 
Replacement
cost
 
  
Credit
equivalent
amount
 
  
Risk-weighted

equivalent 
(2)
 
Over-the-counter contracts
                 
Interest rate contracts
                 
Forward rate agreements
 
$
8
 
  
$
231
 
  
$
43
 
    $ 58      $ 94      $ 6  
Swaps
 
 
6,926
 
  
 
17,760
 
  
 
2,747
 
      9,613        24,448        3,721  
Options purchased
 
 
317
 
  
 
859
 
  
 
135
 
      610        1,547        353  
Options written
 
 
49
 
  
 
398
 
  
 
104
 
      123        564        152  
Foreign exchange contracts
                 
Forward contracts
 
 
8,077
 
  
 
33,908
 
  
 
6,693
 
      5,655        27,862        5,611  
Swaps
 
 
3,915
 
  
 
21,709
 
  
 
2,703
 
      4,261        21,483        4,274  
Options purchased
 
 
877
 
  
 
2,315
 
  
 
587
 
      841        1,742        383  
Options written
 
 
117
 
  
 
476
 
  
 
98
 
      95        441        109  
Credit derivatives
 
 
608
 
  
 
2,336
 
  
 
191
 
      356        1,834        219  
Other contracts
 
 
1,773
 
  
 
20,981
 
  
 
4,756
 
      1,933        16,002        4,929  
Exchange-traded contracts
 
 
10,084
 
  
 
19,023
 
  
 
380
 
            7,186        16,191        324  
   
$
 32,751
 
  
$
 119,996
 
  
$
 18,437
 
          $  30,731      $  112,208      $  20,081  
 
(1)   The amounts presented are net of master netting agreements in accordance with CAR guidelines.
(2)   The risk-weighted balances are calculated in accordance with CAR guidelines and exclude CVA of $18 billion (October 31, 2023 – $13 billion).
(3)
 
The amounts presented reflect our adoption of the revised market risk and CVA frameworks that came into effect on November 1, 2023.
 
Replacement cost of derivative instruments by risk rating and by counterparty type
 
 
 
 
 
As at October 31, 2024
 
 
 
Risk rating
(1)
 
 
 
 
 
Counterparty type
(2)
 
 
 
 
(Millions of Canadian dollars)
 
AAA, AA
 
 
A
 
 
BBB
 
 
BB or lower
 
 
Total
 
 
Banks
 
 
OECD
governments
 
 
Other
 
 
Total
 
Gross positive fair values
 
$
31,561
 
 
$
77,933
 
 
$
25,206
 
 
$
18,533
 
 
$
153,233
 
 
$
75,119
 
 
$
24,655
 
 
$
53,459
 
 
$
153,233
 
Impact of master netting agreements and applicable margins
 
 
18,644
 
 
 
67,995
 
 
 
19,046
 
 
 
14,797
 
 
 
120,482
 
 
 
73,763
 
 
 
24,289
 
 
 
22,430
 
 
 
120,482
 
Replacement cost (after netting agreements)
 
$
12,917
 
 
$
9,938
 
 
$
6,160
 
 
$
3,736
 
 
$
32,751
 
 
$
1,356
 
 
$
366
 
 
$
31,029
 
 
$
32,751
 
                 
   
    As at October 31, 2023  
    Risk rating
(1)
          Counterparty type
(2)
       
(Millions of Canadian dollars)
  AAA, AA     A     BBB     BB or lower     Total     Banks     OECD
governments
    Other     Total  
Gross positive fair values
  $  36,224     $  70,010     $  28,956     $  10,605     $  145,795     $  69,841     $  20,268     $  55,686     $  145,795  
Impact of master netting agreements and applicable margins
    24,025       60,556       22,765       7,718       115,064       68,151       20,237       26,676       115,064  
Replacement cost (after netting agreements)
  $ 12,199     $ 9,454     $ 6,191     $ 2,887     $ 30,731     $ 1,690     $ 31     $ 29,010     $ 30,731  
 
(1)   Our internal risk ratings of AAA, AA, A and BBB represent investment grade ratings and ratings of BB or lower represent non-investment grade ratings, as outlined in the internal ratings maps in the Credit risk section of Management’s Discussion and Analysis.
(2)   Counterparty type is defined in accordance with CAR guidelines.
Derivatives in hedging relationships
We apply hedge accounting to minimize volatility in earnings and capital caused by changes in interest rates or foreign exchange rates. Interest rate and currency fluctuations will either cause assets and liabilities to appreciate or depreciate in market value or cause variability in forecasted cash flows. When a hedging relationship is effective, gains, losses, revenue and expenses of the hedging instrument will offset the gains, losses, revenue and expenses of the hedged item. Refer to Note 2 for our policies on hedge accounting including presentation of hedge effectiveness and ineffectiveness amounts.
We assess and measure the effectiveness of a hedging relationship based on the change in the fair value or cash flows of the derivative hedging instrument relative to the change in the fair value or cash flows of the hedged item attributable to the hedged risk. When cash instruments are designated as hedges of foreign exchange risks, only changes in their value due to foreign exchange risk are included in the assessment and measurement of hedge effectiveness.
Potential sources of ineffectiveness can be attributed to differences between hedging instruments and hedged items:
   
Mismatches in the terms of hedged items and hedging instruments, for example the frequency and timing of when interest rates are reset and frequency of payment.
   
Difference in the discounting factors between the hedged item and the hedging instrument, taking into consideration the different reset frequency of the hedged item and hedging instrument.
   
Hedging derivatives with a non-zero fair value at inception date of the hedging relationship, resulting in mismatch in terms with the hedged item.
Below is a description of our risk management strategy for each risk exposure that we decide to hedge:
Interest rate risk
We use interest rate contracts to manage our exposure to interest rate risk by modifying the repricing characteristics of existing and/or forecasted assets and liabilities, including funding and investment activities. The swaps are designated in either a fair value hedge or a cash flow hedge. Certain swaps were affected by the Reform as the market transitioned from referencing IBORs to ABRs.
For fair value hedges, we use interest rate contracts to manage the fair value movements of our fixed rate instruments due to changes in benchmark interest. The interest rate swaps are entered into on a one-to-one basis to manage the benchmark interest rate risk, and its terms are critically matched to the specified fixed rate instruments.
We also use interest rate swaps in fair value hedges to manage interest rate risk from residential mortgage assets and funding liabilities. Our exposure from this portfolio changes with the origination of new loans, repayments of existing loans and sale of securitized mortgages. Accordingly, we have adopted dynamic hedging for that portfolio, in which the hedge relationship is rebalanced on a more frequent basis, such as on a bi-weekly or on a monthly basis.
For cash flow hedges, we use interest rate contracts to manage the exposure to cash flow variability of our variable rate instruments as a result of changes in benchmark interest rates. The variable rate instruments and forecast transactions that referenced certain IBORs were affected by the Reform. Whilst some of the interest rate swaps are entered into on a one-to-one basis to manage a specific exposure, other interest rate swaps may be entered into for managing interest rate risks of a portfolio of assets and liabilities.
Foreign exchange risk
We manage our exposure to foreign currency risk with cross currency swaps in a cash flow hedge, and foreign exchange forward contracts in a net investment hedge. Certain cash instruments may also be designated in a net investment hedge, where applicable.
For cash flow hedges, we use cross currency swaps and forward contracts to manage the cash flow variability arising from fluctuations in foreign exchange rates on our issued foreign denominated fixed rate liabilities and highly probable forecasted transactions. The maturity profile and repayment terms of these swaps are matched to those of our foreign denominated exposures to limit our cash flow volatility from changes in foreign exchange rates.
 
For net investment hedges, we use a combination of foreign exchange forwards and cash instruments, such as foreign denominated deposit liabilities, to manage our foreign exchange risk arising from our investments in foreign operations. Our most significant exposures include USD, GBP and Euro. When hedging net investments in foreign operations using foreign exchange forwards, only the undiscounted spot element of the foreign exchange forward is designated as the hedging instrument. Accordingly, changes in the fair value of the hedging instrument as a result of changes in forward rates and the effects of discounting are not included in the hedging effectiveness assessment. Foreign operations are only hedged to the extent of the principal of the foreign denominated deposit liabilities or notional amount of the derivative; we generally do not expect to incur significant ineffectiveness on hedges of net investments in foreign operations.
Equity price risk
We use total return swaps in cash flow hedges to mitigate the cash flow variability of the expected payment associated with our cash settled share-based compensation plan for certain key employees by exchanging interest payments for indexed RBC share price change and dividend returns.
Credit risk
We predominantly use credit derivatives to economically hedge our credit exposures. We mitigate industry sector concentrations and single-name exposures related to our credit portfolio by purchasing credit derivatives to transfer credit risk to third parties.
Derivative instruments designated in hedging relationships
(1)
The following table presents the fair values of the derivative instruments and the principal amounts of the non-derivative liabilities, categorized by their hedging relationships, as well as derivatives that are not designated in hedging relationships.
 
       As at    
   
October 31, 2024
        October 31, 2023  
   
Designated as hedging instruments
in hedging relationships
   
Not designated
in a hedging
relationship
        Designated as hedging instruments
in hedging relationships
   
Not designated
in a hedging
relationship
 
(Millions of Canadian dollars)  
Fair value
   
Cash flow
   
Net
investment
         Fair value     Cash flow    
Net
investment
 
Assets
                 
Derivative instruments
 
$
18
 
 
$
298
 
 
$
4
 
 
$
150,292
 
    $ 156     $ 19     $ 13     $ 142,262  
Liabilities
                 
Derivative instruments
 
 
59
 
 
 
27
 
 
 
433
 
 
 
163,244
 
      50       100       409       142,070  
Non-derivative instruments
 
 
 
 
 
 
 
 
37,833
 
 
 
n.a.
 
                    25,427       n.a.  
 
(1)   The fair value reflects the impact of characterizing the daily variation margin as settlement of the related derivative fair values as permitted by certain central counterparties.
n.a.   not applicable
The following tables provide the remaining term to maturity analysis of the notional amounts and the weighted average rates of the hedging instruments and their carrying amounts by types of hedging relationships:
Fair value hedges
 
    
As at October 31, 2024
 
   
Notional amounts
          
Carrying amount 
(1)
 
(Millions of Canadian dollars, except average rates)
 
Within
1 year
    
1 through
5 years
    
Over
5 years
    
Total
           
Assets
    
Liabilities
 
Interest rate risk
                  
Interest rate contracts
                  
Hedge of fixed rate assets
 
$
11,396
 
  
$
68,563
 
  
$
38,343
 
  
$
 118,302
 
    
$
10
 
  
$
55
 
Hedge of fixed rate liabilities
 
 
32,496
 
  
 
71,668
 
  
 
17,267
 
  
 
121,431
 
    
 
8
 
  
 
4
 
Weighted average fixed interest rate
                  
Hedge of fixed rate assets
 
 
3.8%
 
  
 
3.8%
 
  
 
3.5%
 
  
 
3.7%
 
       
Hedge of fixed rate liabilities
 
 
2.9%
 
  
 
2.8%
 
  
 
3.1%
 
  
 
2.8%
 
                         
                                                     
    As at October 31, 2023  
    Notional amounts            Carrying amount 
(1)
 
(Millions of Canadian dollars, except average rates)  
Within
1 year
    
1 through
5 years
    
Over
5 years
     Total             Assets      Liabilities  
Interest rate risk
                  
Interest rate contracts
                  
Hedge of fixed rate assets
  $ 8,853      $ 62,948      $ 21,702      $ 93,503        $ 156      $  
Hedge of fixed rate liabilities
    23,592        75,130        10,236        108,958                 50  
Weighted average fixed interest rate
                  
Hedge of fixed rate assets
    4.3%        3.6%        3.2%        3.6%          
Hedge of fixed rate liabilities
    2.1%        2.4%        2.6%        2.3%                            
 
(1)   The carrying amount reflects the impact of characterizing the daily variation margin as settlement of the related derivative fair values as permitted by certain central counterparties.
 
Cash flow hedges
 
    
As at October 31, 2024
 
   
Notional amounts
        
Carrying amount
(1)
 
(Millions of Canadian dollars, except average rates)
 
Within
1 year
    
1 through
5 years
    
Over
5 years
    
Total
         
Assets
    
Liabilities
 
Interest rate risk
                  
Interest rate contracts
                  
Hedge of variable rate assets
 
$
91,698
 
  
$
 133,684
 
  
$
6,831
 
  
$
232,213
 
    
$
 
  
$
 
Hedge of variable rate liabilities
 
 
46,390
 
  
 
101,339
 
  
 
33,845
 
  
 
181,574
 
    
 
 
  
 
 
Weighted average fixed interest rate
                  
Hedge of variable rate assets
 
 
4.1%
 
  
 
3.5%
 
  
 
3.5%
 
  
 
3.7%
 
       
Hedge of variable rate liabilities
 
 
4.1%
 
  
 
3.6%
 
  
 
2.9%
 
  
 
3.6%
 
                     
Foreign exchange risk
                  
Cross currency swaps
                  
Hedge of fixed rate assets
 
$
 
  
$
936
 
  
$
 
  
$
936
 
    
$
9
 
  
$
21
 
Hedge of fixed rate liabilities
 
 
 
  
 
4,163
 
  
 
 
  
 
4,163
 
    
 
198
 
  
 
6
 
Weighted average CAD-EUR exchange rate
 
 
n.a.
    
 
1.43
 
  
 
n.a.
    
 
1.43
 
       
Weighted average CAD-USD exchange rate
 
 
n.a.
    
 
1.34
 
  
 
n.a.
    
 
1.34
 
                     
                                                   
    As at October 31, 2023  
    Notional amounts          Carrying am
o
unt
(1)
 
(Millions of Canadian dollars, except average rates)  
Within
1 year
    
1 through
5 years
    
Over
5 years
     Total           Assets      Liabilities  
Interest rate risk
                  
Interest rate contracts
                  
Hedge of variable rate assets
  $ 63,927      $ 68,470      $ 1,097      $ 133,494        $      $  
Hedge of variable rate liabilities
    16,696        63,527        32,802        113,025                  
Weighted average fixed interest rate
                  
Hedge of variable rate assets
    4.5%        3.4%        3.7%        4.0%          
Hedge of variable rate liabilities
    4.9%        3.8%        2.8%        3.7%                        
Foreign exchange risk
                  
Cross currency swaps
                  
Hedge of fixed rate assets
  $ 63      $ 916      $      $ 979        $ 19      $ 14  
Weighted average CAD-EUR exchange rate
    1.48        1.44        n.a.      1.45          
Weighted average CAD-USD exchange rate
    n.a.      1.34        n.a.      1.34                        
 
(1)   The carrying amount reflects the impact of characterizing the daily variation margin as settlement of the related derivative fair values as permitted by certain central counterparties.
n.a.   not applicable
Net investment hedges
 
    
As at October 31, 2024
 
   
Notional/Principal
        
Carrying amount
 
(Millions of Canadian dollars, except average rates)
 
Within
1 year
    
1 through
5 years
    
Over
5 years
    
Total
         
Assets
    
Liabilities
 
Foreign exchange risk
                  
Foreign currency liabilities
 
$
4,540
 
  
$
27,649
 
  
$
6,505
 
  
$
38,694
 
    
 
n.a.
 
  
$
 37,833
 
Weighted average CAD-USD exchange rate
 
 
1.33
 
  
 
1.34
 
  
 
1.34
 
  
 
1.34
 
       
Weighted average CAD-EUR exchange rate
 
 
n.a.
    
 
n.a.
    
 
n.a.
    
 
n.a.
         
Weighted average CAD-GBP exchange rate
 
 
1.71
 
  
 
1.76
 
  
 
n.a.
 
  
 
1.73
 
       
Forward contracts
 
$
19,926
 
  
$
 
  
$
 
  
$
19,926
 
    
$
4
 
  
$
433
 
Weighted average CAD-USD exchange rate
 
 
1.36
 
  
 
n.a.
    
 
n.a.
    
 
1.36
 
       
Weighted average CAD-EUR exchange rate
 
 
1.50
 
  
 
n.a.
    
 
n.a.
    
 
1.50
 
       
Weighted average CAD-GBP exchange rate
 
 
1.79
 
  
 
n.a.
    
 
n.a.
    
 
1.79
 
                     
                                                   
    As at October 31, 2023  
    Notional/Principal          Carrying amount  
(Millions of Canadian dollars, except average rates)
 
Within
1 year
     1 through
5 years
    
Over
5 years
     Total           Assets      Liabilities  
Foreign exchange risk
                  
Foreign currency liabilities
  $   6,061      $  14,653      $  6,413      $  27,127          n.a.      $  25,427  
Weighted average CAD-USD exchange rate
    1.28        1.29        1.33        1.30          
Weighted average CAD-EUR exchange rate
    n.a.        n.a.      n.a.      n.a.        
Weighted average CAD-GBP exchange rate
   
n.a.
       1.71       
n.a.
       1.71          
Forward contracts
  $   18,920      $      $      $ 18,920        $  13      $ 409  
Weighted average CAD-USD exchange rate
    1.36        n.a.      n.a.      1.36          
Weighted average CAD-EUR exchange rate
    1.45        n.a.      n.a.      1.45          
Weighted average CAD-GBP exchange rate
    1.68        n.a.      n.a.      1.68                        
 
n.a.   not applicable
 
 
The following tables present the details of the hedged items categorized by their hedging relationships:
Fair value hedges – Assets and liabilities designated as hedged items
 
    
As at and for the year ended October 31, 2024
 
   
Carrying amount
   
Accumulated amount of fair
value adjustments on the
hedged item included in the
carrying amount
        
(Millions of Canadian dollars)
 
Assets
   
Liabilities
   
Assets
   
Liabilities
   
Consolidated Balance Sheet items:
 
Changes in fair
values used for
calculating hedge
ineffectiveness
 
Interest rate risk
           
Fixed rate assets
(1)
 
$
 114,354
 
 
$
 
 
$
(666
 
$
 
 
Securities
– Investment, net of
applicable allowance; Loans – Retail;
Loans – Wholesale
 
$
  2,702
 
Fixed rate liabilities
(1)
 
 
 
 
 
118,116
 
 
 
 
 
 
(2,312
 
Deposits – Personal;
Deposits
 – Business and government;
Subordinated debentures;
Deposits – Bank
 
 
(3,963
 
     As at and for the year ended October 31, 2023  
    Carrying amount    
Accumulated amount of fair
value adjustments on the
hedged item included in the
carrying amount
        
(Millions of Canadian dollars)
  Assets     Liabilities     Assets     Liabilities     Consolidated Balance Sheet items:   Changes in fair
values used for
calculating hedge
ineffectiveness
 
Interest rate risk
           
Fixed rate assets
(1)
  $ 86,734     $     $ (3,911   $    
Securities
– Investment, net of
applicable allowance; Loans – Retail;
Loans – Wholesale
  $   (1,445
Fixed rate liabilities
(1)
          102,535             (6,340  
Deposits
– Business and government;
Subordinated debentures;
Deposits – Bank
        276  
 
(1)  
As at October 31, 2024, the accumulated amount of fair value hedge adjustments remaining on our Consolidated Balance Sheets for hedged items that have ceased to be adjusted for hedging gains and losses is a loss of
 $238 million for fixed rate assets and a gain of $118 million for fixed rate liabilities (October 31, 2023 – loss of $539 million and gain of $259 million, respectively).
Cash flow and net investment hedges – Assets and liabilities designated as hedged items
 
    
As at and for the year ended October 31, 2024
 
       
Changes in fair
values used for
calculating hedge
ineffectiveness
   
Cash flow hedge/foreign
currency translation reserve
 
(Millions of Canadian dollars)
 
Consolidated Balance Sheet items:
 
Continuing
hedges
   
Discontinued
hedges
 
Cash flow hedges
       
Interest rate risk
       
Variable rate assets
 
Securities
 – Investment, net of
applicable allowance; Loans – Retail;
Loans – Wholesale;
 
$
(4,415
 
$
2,645
 
 
$
(2,216
 
Interest bearing deposits with banks;
Assets purchased under reverse
     
 
repurchase agreements and securities borrowed
     
Variable rate liabilities
 
Deposits
 – Business and government;
 
 
4,437
 
 
 
(1,801
 
 
4,557
 
 
Deposits – Personal;
Obligations related to assets sold under
repurchase agreements and securities loaned
     
Foreign exchange risk
       
Fixed rate assets
 
Securities
 – Investment, net of
applicable allowance
 
 
7
 
 
 
13
 
 
 
 
Fixed rate liabilities
 
Deposits – Business and government
 
 
(106
 
 
(52
 
 
 
Net investment hedges
       
Foreign exchange risk
       
Foreign subsidiaries
 
n.a.
 
 
710
 
 
 
(8,005
 
 
(382
 
     As at and for the year ended October 31, 2023  
   
Consolidated Balance Sheet items:
 
Changes in fair
values used for
calculating hedge
ineffectiveness
   
Cash flow hedge/foreign
currency translation reserve
 
(Millions of Canadian dollars)
  Continuing
hedges
    Discontinued
hedges
 
Cash flow hedges
       
Interest rate risk
       
Variable rate assets
 
Securities
– Investment, net of
  $ 2,248     $ (2,115   $ (3,126
 
applicable allowance; Loans – Retail;
Interest bearing deposits with banks;
     
 
Assets purchased under reverse
repurchase agreements and securities borrowed
     
Variable rate liabilities
 
Deposits
– Business and government;
    (2,558     3,535       5,607  
  Deposits – Personal;      
  Obligations related to assets sold under      
  repurchase agreements and securities loaned      
Foreign exchange risk
       
Fixed rate assets
 
Securities
– Investment, net of
applicable allowance
    50              
Net investment hedges
       
Foreign exchange risk
       
Foreign subsidiaries
  n.a.     1,513       (7,297     (382
 
n.a.   not applicable
Effectiveness of designated hedging relationships
 
    
For the year ended October 31, 2024
 
(Millions of Canadian dollars)
 
Change in fair value
of hedging
instrument
   
Hedge
ineffectiveness
recognized in
income
(1)
   
Changes in the value of
the hedging instrument
recognized in OCI
   
Amount reclassified
from hedge reserves
to income
 
Fair value hedges
       
Interest rate risk
       
Interest rate contracts – fixed rate assets
 
$
(2,761
 
$
(59
 
 
n.a.
 
 
 
n.a.
 
Interest rate contracts – fixed rate liabilities
 
 
3,961
 
 
 
(2
 
 
n.a.
 
 
 
n.a.
 
Cash flow hedges
       
Interest rate risk
       
Interest rate contracts – variable rate assets
 
 
4,416
 
 
 
15
 
 
$
2,559
 
 
$
(3,195
Interest rate contracts – variable rate liabilities
 
 
(4,325
 
 
(19
 
 
(2,600
 
 
3,872
 
Foreign exchange risk
       
Cross currency swap – fixed rate assets
 
 
(6
 
 
 
 
 
1
 
 
 
(12
Cross currency swap – fixed rate liabilities
 
 
107
 
 
 
2
 
 
 
70
 
 
 
122
 
Net investment hedges
       
Foreign exchange risk
       
Foreign currency liabilities
 
 
(455
 
 
 
 
 
(455
 
 
 
Forward contracts
 
 
(255
 
 
 
 
 
(254
 
 
(1
 
     For the year ended October 31, 2023  
(Millions of Canadian dollars)
 
Change in fair value
of hedging
instrument
   
Hedge
ineffectiveness
recognized in
income
(1)
   
Changes in the value of
the hedging instrument
recognized in OCI
   
Amount reclassified
from hedge reserves
to income
 
Fair value hedges
       
Interest rate risk
       
Interest rate contracts – fixed rate assets
  $ 1,385     $ (60     n.a.       n.a.  
Interest rate contracts – fixed rate liabilities
    (205     71       n.a.       n.a.  
Cash flow hedges
       
Interest rate risk
       
Interest rate contracts – variable rate assets
    (2,232     7     $ (3,930   $ (3,121
Interest rate contracts – variable rate liabilities
    2,416       (11     4,498       3,045  
Foreign exchange risk
       
Cross currency swap – fixed rate assets
    (50           (44     (37
Net investment hedges
       
Foreign exchange risk
       
Foreign currency liabilities
    (684           –       (684           –  
Forward contracts
    (828           (828     (191
 
(1)
Hedge ineffectiveness recognized in income included losses of $50 million that are excluded from the assessment of hedge effectiveness and are offset by economic hedges (October 31, 2023 – gains of $3 million).
n.a.
not applicable
 
Reconciliation of components of equity
The following table provides a reconciliation by risk category of each component of equity and an analysis of other comprehensive income relating to hedge accounting:
 
    
For the year ended October 31, 2024
        
For the year ended October 31, 2023
 
(Millions of Canadian dollars)
 
Cash flow hedge
reserve
   
Foreign currency
translation reserve
        
Cash flow hedge
reserve
   
Foreign currency
translation reserve
 
Balance at the beginning of the year
 
$
 2,756
 
 
$
 6,612
 
    $  2,394     $  5,688  
Cash flow hedges
         
Effective portion of changes in fair value:
         
Interest rate risk
 
 
(40
        568    
Foreign exchange risk
 
 
71
 
        (44  
Equity price risk
 
 
413
 
        (119  
Net amount reclassified to profit or loss:
         
Ongoing hedges:
         
Interest rate risk
 
 
134
 
        (377  
Foreign exchange risk
 
 
(110
        37    
Equity price risk
 
 
(350
        93    
De-designated hedges:
         
Interest rate risk
 
 
(811
        453    
Hedges of net investment in foreign operations
         
Foreign exchange denominated debt
   
 
(455
        (684
Forward foreign exchange contracts
   
 
(254
        (828
Foreign currency translation differences for foreign operations
   
 
1,018
 
        2,164  
Reclassification of losses (gains) on foreign currency translation to income
   
 
 
        (160
Reclassification of losses (gains) on net investment hedging activities to income
   
 
1
 
        191  
Tax on movements on reserves during the period
 
 
204
 
 
 
206
 
 
 
    (249     241  
Balance at the end of the year
 
$
2,267
 
 
$
7,128
 
 
 
  $ 2,756     $ 6,612