The assumptions used in the valuation of stock options granted during the six months ended June 30, 2025, and 2024 were as follows: (Details) |
6 Months Ended | |
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Jun. 30, 2025 |
Jun. 30, 2024 |
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| Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] | ||
| Risk-free interest rate - Minimum | 3.81% | 4.23% |
| Risk-free interest rate - Maximum | 4.30% | 5.33% |
| Expected stock price volatility - Minimum | 149.34% | 111.89% |
| Expected stock price volatility - Maximum | 153.44% | 137.79% |
| Expected dividend yield | 0.00% | 0.00% |
| Minimum [Member] | ||
| Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] | ||
| Expected term of option | 5 years 6 months | 5 years 3 months |
| Maximum [Member] | ||
| Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] | ||
| Expected term of option | 6 years 29 days | 10 years |
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- Definition The estimated dividend rate (a percentage of the share price) to be paid (expected dividends) to holders of the underlying shares over the option's term. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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- Definition The estimated measure of the maximum percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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- Definition The estimated measure of the minimum percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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- Definition The maximum risk-free interest rate assumption that is used in valuing an option on its own shares. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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- Definition The minimum risk-free interest rate assumption that is used in valuing an option on its own shares. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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- Definition Expected term of award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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