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You are a corporate treasurer who will purchase $1 million of bonds for the sinking fund in three months. You believe rates soon will fall and would like to repurchase the company’s sinking fund bonds, which currently are selling below par, in advance of requirements.

Unfortunately, you must obtain approval from the board of directors for such a purchase, and this can take up to two months. What action can you take in the futures market to hedge any adverse movements in bond yields and prices until you actually can buy the bonds? Will you be long or short? Why?

Short Answer

Expert verified

Purchase the T-bond futures contract as a proxy. Buy back the bonds for the sinking funds at higher prices than these could be repurchased today.

Step by step solution

01

Explanation on action in futures

Despite treasurer’s attempt to buy the bonds, he wouldn’t be able to do it. In this case, he can purchase the T-bond futures contract as a proxy, therefore he should enter into long position. This means treasure he should purchase treasury bonds future contracts worth of similar amount.

02

Explanation of benefit taking long position:

In case of fall in rates, the treasurer will have to buy back the bonds for the sinking funds at higher prices than these could be repurchased today. However this higher cost will be offset by gains on future contracts.

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Most popular questions from this chapter

Suppose you are attempting to value a one-year maturity option on a stock with volatility (i.e., annualized standard deviation) ofσ= .40. What would be the appropriate values for u and d if your binomial model is set up using the following?

a. 1 period of one year

b. 4 sub-periods, each 3 months

c. 12 sub-periods, each 1 month

Use the following case in answering Problems 10 – 15 :

Mark Washington, CFA, is an analyst with BIC. One year ago, BIC analysts predicted that the U.S. equity market would most likely experience a slight downturn and suggested delta-hedging the BIC portfolio.

As predicted, the U.S. equity markets did indeed experience a downturn of approximately 4% over a 12-month period. However, portfolio performance for BIC was disappointing, lagging its peer group by nearly 10%. Washington has been told to review the options strategy to determine why the hedged portfolio did not perform as expected.

BIC owns 51,750 shares of Smith & Oates. The shares are currently priced at \(69. A call option on Smith & Oates with a strike price of \)70 is selling at $3.50 and has a delta of .69. What is the number of call options necessary to create a delta-neutral hedge?

According to the Black-Scholes formula, what will be the value of the hedge ratio of a put option for a very small exercise price?.

The one-year futures price on a particular stock-index portfolio is 1,218, the stock index currently is 1,200, the one-year risk-free interest rate is 3%, and the year-end dividend that will be paid on a \(1,200 investment in the index portfolio is \)15.

a. By how much is the contract mispriced?

b. Formulate a zero-net-investment arbitrage portfolio, and show that you can lock in riskless profits equal to the futures mispricing.

c. Now assume (as is true for small investors) that if you short-sell the stocks in the market index, the proceeds of the short sale are kept with the broker and you do not receive any interest income on the funds. Is there still an arbitrage opportunity (assuming you don’t already own the shares in the index)? Explain.

d. Given the short-sale rules, what is the no-arbitrage band for the stock-futures price relationship? That is, given a stock index of 1,200, how high and how low can the futures price be without giving rise to arbitrage opportunities?

Return to Problem 37. What will be the payoff to the put, Pu, if the stock goes up?

What will be the payoff, Pd, if the stock price falls? Value the put option using the riskneutralshortcut described in the box on page 533. Confirm that your answer matchesthe value you get using the two-state approach.

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