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Suppose that the current spot rate is S0 = usd/gbp 2 and the one-period interest rates today

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Suppose that the current spot rate is S0 = usd/gbp 2 and the one-period interest rates today are r is 5 percent and r∗ is 10 percent. Also, you are given that in the next period the spot rate will either be usd/gbp 2.2 or usd/gbp 1.8.
(a) What is the value today of a one-period put option on the gbp that has a strike price of usd/gbp 1.9?
(b) Suppose that you already hold this put option. If you wish to hedge the payoff from the put, so that the net payoff of your portfolio is independent of the exchange rate, how many additional units of the spot should you buy/sell?
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. Portfolio
A portfolio is a grouping of financial assets such as stocks, bonds, commodities, currencies and cash equivalents, as well as their fund counterparts, including mutual, exchange-traded and closed funds. A portfolio can also consist of non-publicly...
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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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