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Mixing options and securities can often create interesting payoffs. For each of the following combinations show what

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Mixing options and securities can often create interesting payoffs. For each of the following combinations show what the payoff would be when the option expires if (i) the stock price is below the exercise price, and (ii) the stock price is above the exercise price. Assume that each option has the same exercise price and expiration date.

a. Buy a call and invest the present value of the exercise price in a bank deposit.

b. Buy a share and a put option on the share.

c. Buy a share, buy a put option on the share, and sell a call option on the share.

d. Buy a call option and a put option on the share.

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Consider options with an exercise price of 10000 Call th...View the full answer


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Divya Munir
I hold M.Sc and M.Phil degrees in mathematics from CCS University, India and also have a MS degree in information management from Asian institute of technology, Bangkok, Thailand. I have worked at a international school in Bangkok as a IT teacher. Presently, I am working from home as a online Math/Statistics tutor. I have more than 10 years of online tutoring experience. My students have always excelled in their studies.
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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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