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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.

Washington considers a put option that has a delta of .65. If the price of the underlying asset decreases by $6, then what is the best estimate of the change in option price?

Short Answer

Expert verified

$3.90

Step by step solution

01

Definition of put option

The put option is a financial instrument that gives the owner the right to sell an asset at a particular price within the specified timeline.

02

Calculation of the estimated change in price of the option

Change in estimated price = Change in asset price x delta

= (-$6) x (-.65)

= $3.90

This implies that the option price is estimated to increase by $3.90.

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Most popular questions from this chapter

You are a portfolio manager who uses options positions to customize the risk profile of your clients. In each case, what strategy is best given your client’s objective?

a. Performance to date: Up 16%.

Client objective: Earn at least 15%.

Your scenario: Good chance of large stock price gains or large losses between now and end of year.

i. Long straddle

ii. Long bullish spread

iii. Short straddle

b. Performance to date: Up 16%.

Client objective: Earn at least 15%.

Your Scenario: Good chance of large stock price losses between now and end of year.

i. Long put options

ii. Short call options

iii. Long call options

Use the Black-Scholes formula to find the value of a call option on the following stock:

Time to expiration = 6 months

Standard deviation = 50% per year

Exercise price = \(50

Stock price = \)50

Interest rate = 3%

A corporation plans to issue $10 million of 10-year bonds in three months. At current yields the bonds would have modified duration of eight years. The T-note futures contract is selling at F0 = 100 and has modified duration of six years. How can the firm use this futures contract to hedge the risk surrounding the yield at which it will be able to sell its bonds? Both the bond and the contract are at par value.

All else being equal, is a call option on a stock with a lot of firm-specific risk worth more than one on a stock with little firm-specific risk? The betas of the stocks are equal.

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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