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A share price is currently $63. At the end of each three month period, it will change

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A share price is currently $63. At the end of each three month period, it will change by going up $3 or going down $3. Calculate the value of a six month American put option with exercise price $61. The risk-free interest rate is 4% p.a. with continuous compounding. You must use both the methods of setting up the delta-hedged portfolio, and the risk-neutral probability method.

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Using the Delta H edged Port folio Method The put option has a delta of 0 8 This means that for every 1 the share price moves the put option will move ...View the full answer


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A put option is a financial contract that gives the owner the right, but not the obligation, to sell an underlying asset, such as a stock or a commodity, at a predetermined price, known as the strike price, on or before a specific date, known as the expiration date. Put options are used by investors as a form of insurance against a decline in the value of the underlying asset. If an investor expects the value of an asset to fall in the future, they can purchase a put option on that asset. If the value of the asset does fall, the put option will increase in value, allowing the investor to sell the asset at the higher strike price. For example, if an investor owns 100 shares of a stock that is currently trading at $50 per share, they may purchase a put option with a strike price of $45 and an expiration date three months in the future. If the stock price falls to $40 before the expiration date, the investor can exercise the put option and sell their shares for $45 each, even though the market price is only $40. This would allow the investor to limit their losses. It\'s important to note that purchasing a put option involves paying a premium to the seller of the option, and the investor can lose the entire premium if the price of the underlying asset does not decline as expected. Put options are just one type of financial derivative and should only be used by experienced investors who understand the risks involved.

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