Bhupatbhai You are managing a pension fund with a value of $360 million and a beta of 1.30. Youare concerned about a market decline and wish to hedge the portfolio. You havedecided to use SPX calls. How many contracts do you need if the delta of the call optionis 0.64 and the S&P Index is currently at 1300? (Do not round intermediatecalculations. A negative value should be indicated by a minus sign. Round youranswer to the nearest whole number.)Number of option contracts

hedge a $360million pension fund with a beta of 1.30 against market decline, you plan to use SPX…

Answered: You are managing a pension fund with a…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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You are managing a pension fund with a value of $300 million and a beta of 1.07. You are concerned about a market decline and wish to hedge the portfolio. You have decided to use SPX calls. How many contracts do you need if the delta of the call option is .62 and the S&P index is currently at 2,030?
Suppose you have a stock market portfolio with a beta of .90 that is currently worth $783 million. You wish to hedge against a decline using index options. Describe how you might do so with puts and calls. Suppose you decide to use SPX calls. Calculate the number of contracts needed if the call option you pick has a delta of .50, and the S&P 500 index is at 1,270. (Do not round intermediate calculations. A negative value should be indicated by a minus sign. Round your answer to the nearest whole number.) Number of option contracts 11,098
Suppose you have a stock market portfolio with a beta of 0.83 that is currently worth $725 million. You wish to hedge against a decline using index options. Describe how you might do so with puts and calls. Suppose you decide to use SPX calls. Calculate the number of contracts needed if the call option you pick has a delta of 0.30, and the S&P 500 index is at 3,270. Note: Do not round intermediate calculations. A negative value should be indicated by a minus sign. Round your answer to the nearest whole number. Number of option contracts
Suppose you have a stock market portfolio with a beta of 81 that is currently worth $580 million. You wish to hedge against a decline using index options. Describe how you might do so with puts and calls. Suppose you decide to use SPX calls. Calculate the number of contracts needed if the call option you pick has a delta of 30, and the S&P 500 Index is at 1,270. (Do not round intermediate calculations. A negative value should be indicated by a minus sign. Round your answer to the nearest whole number.) Answer is complete but not entirely correct. Number of option contracts 12,331
By looking at the sensivities of your portfolio to ds = -$2 and So = -1%, you decide to hedge delta, gamma and Vega risk of your portfolio with the underlying stock and two different options on the same asset with below data. Calculate the units of stock you need to trade to hedge away all delta, gamma and Vega risks of your portfolio.(Note that here you have to calculate the units of stock, Option A and Option B, but you will only submit the units of stock.) Variable Option A Option B Delta (A) -0.5 0.2 Gamma (T) 0.2 0.1 Vega (v) 8
You want to create a portfolio equally as risky as the market, and you have $1,200,000 to invest. Consider the following information: Asset Investment Beta Stock A $300,000 0.70 Stock B $360,000 1.25 Stock C 1.55 Risk-free asset Required: (a) What is the investment in Stock C? (Do not round your intermediate calculations.) (b) What is the investment in risk-free asset? (Do not round your intermediate calculations.)
V3. By looking at the sensivities of your portfolio to δs = -$2 and δσ = -1%, you decide to hedge delta, gamma and Vega risk of your portfolio with the underlying stock and two different options on the same asset with below data. Calculate the units of stock you need to trade to hedge away all delta, gamma and Vega risks of your portfolio.(Note that here you have to calculate the units of stock, Option A and Option B, but you will only submit the units of stock.)
Assume that you manage a $10.00 million mutual fund that has a beta of 1.25 and a 9.50% required return. The risk-free rate is 2.20%. You now receive another $15.00 million, which you invest in stocks with an average beta of 0.80. What is the required rate of return on the new portfolio? (Hint: You must first find the market risk premium, then find the new portfolio beta.) Do not round your intermediate calculations. a. 9.17% b. 8.71% c. 7.92% d. 7.45% e. 9.65%
a) The cost of a portfolio consisting of a long position in a call option with strike price 50 and a short position in a call option with strike price 80 is zero (both call options are on the same stock and have the same maturity date). True or false? Explain. b) Carefully draw the payoff diagram of a portfolio consisting of a long position in two call options with exercise price ?, a short position in five call options with exercise price 2? and a long position in four call options with exercise price 3?. All options have the same maturity date and the same underlying stock. What reasons could a speculator have for holding such a portfolio (explain in detail)?
Two call options, A and B, are on the same stock. Their hedge ratios are 0.4 and 0.6, respectively. If a riskfree portfolio of the two calls contains one Call A, then the portfolio needs to contain _______ Call Bs (use negative numbers to mean short positions. Keep 2 decimal places.)
You want to create a portfolio equally as risky as the market, and you have $1,000,000 to invest. Given this information, fill in the rest of the following table: (Do not round intermediate calculations. Round the final answers to the nearest whole number. Do not leave any empty spaces; input a O wherever it is required. Omit $ sign in your response.) Asset Stock A Stock B Stock C Risk-free asset Investment $197,000 $308,000 +A $ +A $ Beta 0.80 1.13 1.29
You have been provided the following information as part of a consultation query:The risk free rate is 3.2%The market risk premium (rM - rRF) is 5.3%Stock A - has a beta of 1.2 betaStock B - has a beta of 0.85 beta (a). What is the required rate of return on each stock? (b). Assume that investors become less willing to take on risk (ie., they become more riskaverse), so the market risk premium rises 6%. Assume that the risk-free rate remains constant. What effect will this have on the required rates of return on the two stocks?

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