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?
Am. 289.
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 .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 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
You want to use S&P 500 index options to hedge your portfolio. • Portfolio has a beta of -1.0. • It is currently worth $500,000 and index stands at 1000. • The risk-free rate is 0% per annum. • There is no dividend yield on both the portfolio and the index. 1) What option contracts would you consider? 2) How many option contracts should be purchased? 3) What strike price should we consider for insurance against the portfolio value falling below $450,000 in three months? 4) What happens if index level turns out to be 1200 after three months?
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
Raghu
Suppose you are a seller . At time t = 0 you get £C from the buyer where C is the risk-neutral price of the option. You then have to design a hedging strategy which would allow you to meet your financial obligation in one year’s time. Your portfolio should consist of two investments: you are allowed to buy the underlying shares and to deposit money in the bank. The price of the share evolves according to a geometric Brownian motion. State the formulae you will need to compute the number of shares in the portfolio and the capital deposited in the bank at any time t, 0 ≤ t ≤ 1.
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%

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