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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.

Short Answer

Expert verified

a. Take a short position in T-bond futures

b. Take a short position in T bond futures

c. The extra cash would be available to purchase the bond with anticipated contribution

Step by step solution

01

Explanation on situation ‘a’

To offset interest rate risk, take a short position in T-bond futures. In case of increase in rates, the loss would be offset by the futures gain.

02

Explanation on situation ‘b’

To offset the bond price risk, take a short position in T bond futures.

03

Explanation on situation ‘c’

In case of increase in bond prices, the extra cash would be available to purchase the bond with anticipated contribution. In other words, a price increase will generate a profit.

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Most popular questions from this chapter

Several Investment Committee members have asked about interest rate swap agreements and how they are used in the management of domestic fixed-income portfolios.

a. Define an interest rate swap, and briefly describe the obligation of each party involved.

b. Cite and explain two examples of how interest rate swaps could be used by a fixed income portfolio manager to control risk or improve return.

You are attempting to formulate an investment strategy. On the one hand, you think there is great upward potential in the stock market and would like to participate in the upward move if it materializes. However, you are not able to afford substantial stock market losses and so cannot run the risk of a stock market collapse, which you recognize is also possible. Your investment adviser suggests a protective put position:

Buy shares in a market-index stock fund and put options on those shares with three months until expiration and exercise price of \(1,040. The stock index is currently at \)1,200. However, your uncle suggests you instead buy a three-month call option on the index fund with exercise price \(1,120 and buy three-month T-bills with face value \)1,120.

a. On the same graph, draw the payoffs to each of these strategies as a function of the stock fund value in three months. (Hint: Think of the options as being on one “share” of the stock index fund, with the current price of each share of the index equal to \(1,200.)

b. Which portfolio must require a greater initial outlay to establish?

( Hint: Does either portfolio provide a final payoff that is always at least as great as the payoff of the other portfolio?)

c. Suppose the market prices of the securities are as follows:

Stock Fund

\)1200

T -bill (Face value \(1,120

\)1080

Call (Exercise price \(1,120

\)160

Put (Exercise price \(1040

\)8

Make a table of profits realized for each portfolio for the following values of the stock price in three months: S T = \(0, \)1,040, \(1,120, \)1,200, and $1,280. Graph the profits to each portfolio as a function of S T on a single graph.

d. Which strategy is riskier? Which should have a higher beta?

Return to Problem 35. Value the call option using the risk-neutral shortcut described in the box on page 533. Confirm that your answer matches the value you get using the two-state approach.

Question: You are attempting to value a call option with an exercise price of \(100 and one year to expiration. The underlying stock pays no dividends, its current price is \)100, and you believe it has a 50% chance of increasing to \(120 and a 50% chance of decreasing to \)80.

The risk-free rate of interest is 10%. Calculate the call option’s value using the two-state stock price model.

The Excel Applications box in the chapter (available at www.mhhe.com/bkm ; link to Chapter 17 material) shows how to use the spot-futures parity relationship to find a “term structure of futures prices,” that is, futures prices for various maturity dates.

a. Suppose that today is January 1, 2012. Assume the interest rate is 1% per year and a stock index currently at 1,200 pays a dividend yield of 2%. Find the futures price for contract maturity dates of February 14, 2012, May 21, 2012, and November 18, 2012.

b. What happens to the term structure of futures prices if the dividend yield is lower than the risk-free rate? For example, what if the interest rate is 3%?

The hedge ratio of an at-the-money call option on IBM is .4. The hedge ratio of an at-the-money put option is -6. What is the hedge ratio of an at-the-money straddle position on IBM?

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