The Company determined the grant-date fair value of Time-Vesting SARs using a Black-Scholes option-pricing model, calculated as the difference in fair value between a SAR with a strike price at the exercise price and a SAR with the strike price at its maximum appreciation, using the following assumptions:


			Nine Months Ended September 30, 2024
Expected volatility rate			55.0% - 59.2%
Expected term (in years)			3.7 - 9.2
Risk-free interest rate			3.4% - 3.7%
Expected dividend yield			—%

Schedule of Share-Based Payment Award, Equity Instruments Other Than Options, Valuation Assumptions

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The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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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.

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The estimated measure of the 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.

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The risk-free interest rate assumption that is used in valuing an option on its own shares.

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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.

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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.

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