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For the single-period evolution given in the preceding figure, consider an American call option with maturity 1

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For the single-period evolution given in the preceding figure, consider an American call option with maturity 1 and strike price k = $0.92 on the three-period zero-coupon bond. What is the arbitrage-free price of this call option? Is early exercise (at time 0) optimal?
Strike Price
In finance, the strike price of an option is the fixed price at which the owner of the option can buy, or sell, the underlying security or commodity. Maturity
Maturity is the date on which the life of a transaction or financial instrument ends, after which it must either be renewed, or it will cease to exist. The term is commonly used for deposits, foreign exchange spot, and forward transactions, interest...
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Since there are no cash flows on the underlying asset the American and European call have ...View the full answer


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A call option is a type of financial contract that gives the holder the right, but not the obligation, to buy an underlying asset (such as a stock, commodity, or currency) at a specified price (called the strike price) within a specified period of time. When an investor purchases a call option, they are essentially betting that the price of the underlying asset will rise above the strike price before the option\'s expiration date. If the price of the asset does rise above the strike price, the investor can exercise the option by buying the asset at the strike price and then selling it at the higher market price, thereby earning a profit. Call options are often used as a speculative investment strategy, as they allow investors to potentially profit from the upward movement of an asset without having to actually own the asset itself. They are also commonly used as a hedging tool to protect against potential losses in a portfolio.

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