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You are very bullish (optimistic) on stock EFG, much more so than the rest of the market.

In each question, choose the portfolio strategy that will give you the biggest dollar profit if your bullish forecast turns out to be correct. Explain your answer.

a. Choice A: \(100,000 invested in calls with X = 50.

Choice B: \)100,000 invested in EFG stock.

b. Choice A: 10 call options contracts (for 100 shares each), with X = 50.

Choice B: 1,000 shares of EFG stock.

Short Answer

Expert verified

a. Choice A

b. Choice B

Step by step solution

01

Evaluation of strategy ‘a’

Since calls have higher elasticity than shares, they will have a higher potential for gains for identical dollar investments. Hence the correct choice would be Choice A.

The capital gain on the exchange of the call is more as compared to stock, and this is because of the higher elasticity of the calls.

02

Evaluation of strategy ‘b’

Since calls have less than a 1.0 hedge ratio, the dollar exposure of the calls and their profit potential is less than that of the stocks. So it will be beneficial to choose stock in this case. Hence the correct choice would be Choice B.

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Most popular questions from this chapter

In each of the following cases, discuss how you, as a portfolio manager, could use financial futures to protect a portfolio.

a. You own a large position in a relatively illiquid bond that you want to sell.

b. You have a large gain on one of your long Treasuries and want to sell it, but you would like to defer the gain until the next accounting period, which begins in four weeks.

c. You will receive a large contribution next month that you hope to invest in long-term corporate bonds on a yield basis as favorable as is now available.

What type of interest rate swap would be appropriate for a speculator who believes interest rates soon will fall?

Use the put-call parity relationship to demonstrate that an at-the-money call option ona non-dividend-paying stock must cost more than an at-the-money put option. Showthat the prices of the put and call will be equal if S =(1 + r)T.

Consider a stock that will pay a dividend of D dollars in one year, which is when a futures contract matures.

Consider the following strategy: Buy the stock, short a futures contract on the stock, and borrow S0dollars, where S0is the current price of the stock.

a. What are the cash flows now and in one year? (Hint: Remember the dividend the stock will pay.)

b. Show that the equilibrium futures price must beF0=S0(1+r)to avoid arbitrage.

c. Call the dividend yield d = D / S0, and conclude that F0=S0(1+r-d).

Suppose the S&P 500 Index portfolio pays a dividend yield of 2% annually. The index currently is 1,200. The T-bill rate is 3%, and the S&P futures price for delivery in one year is $1,233. Construct an arbitrage strategy to exploit the mispricing and show that your profits one year hence will equal the mispricing in the futures market.

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