A portfolio manager is wanting to add futures to anequity portfolio to change the beta of the overallportfolio. The following data is available:• Current Portfolio Beta: 0.25• Current Portfolio Value: $10,000,000• Current Futures Price: $2,500• One contract is on $250x the index• Target Beta: 3.5How many futures contracts should be added to theportolio to meet the target beta? Round to 0 decimalplaces.

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How many futures contracts should be added to the portolio to meet the target beta? Round to 0 decimal places.

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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We define basis as futures price minus cash price. In general, what is the expected sign of the basis one month prior to expiry for oil sold on the spot market at the futures contract’s delivery location? (i) positive (ii) negative (iii) zero
Refer to the Mini-S&P contract in Figure 22.1. Assume the closing price for this day.a. If the margin requirement is 23% of the futures price times the contract multiplier of $50, how much must you deposit with your broker to trade the March maturity contract? (Round your answer to the nearest whole dollar.)Required margin depositb. If the March futures price increases to 2594.70, what percentage return will you earn on your investment if you entered the long side of the contract at the price shown in the figure? (Do not round intermediate calculations. Round your answer to 2 decimal places.)Percentage return on net investment%c. If the March futures price falls by 1%, what is your percentage return? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)Percentage return on net investment%
Suppose we enter into a 76-day T-bill futures contract quoted at 0.021. The notional amount is $1,000. What is the actual price?
Find the price of an American call option on a futures if the current spot price is 30, the exercise price is 25, the futures price is 33.70, the risk-free interest rate is 6 percent, the spot asset can go up by 10 percent or down by 8 percent per period and the call expires in two periods, which is also when the futures expires. Show your working. A. 9.98 B. 8.70 C. 7.73 D. 8.22
Consider the 1-period binomial model with a bond with A(0) = 60 and A(1) = 70 and a stock with S(0) = 4X and S^u(1) 6Y and S^d(1) = 3Z. = 1. What is the price (payoff) C(1) of a call option with strike price 28? 2. same... with strike price 45? 3. same... with strike price 72? 4. Set up a system of linear equations to determine a replicating portfolio for the call option from part 2 (strike price 45). 5. Solve it and determine the price C(O). 6. Compute, tabulate, and plot the price C(O) as you vary the strike price of the option from 28, 29, ..., 71, 72.
Suppose that the current price of an asset is $100. After three months, there are two possible values for the asset price, and after six months there are three, as follows: S++ = 121 s+ = 110 So = 100 st- = 92 S- = 90 S-- = 81 The annual risk-free rate of interest is 2%.
6(b) Suppose that a futures price is currently £30. The risk-free interest rate is 5% per annumcontinuously compounded. A three-month American call futures option with a strike priceof £28 is worth £4. Calculate bounds for the price of a three-month American put futuresoption with a strike price of £28.
What is the rho of a European put option with the following parameters? As a reminder, rho is defined as the first derivative of the option price with respect to the risk free rate. s0 = $40k = $39 r = 10%sigma = 20%T = 0.75 years (required precision 0.01 +/- 0.01) Greeks Reference Guide: Delta = ∂π/∂S Theta = ∂π/∂t Gamma = (∂2π)/(∂S2) Vega = ∂π/∂σ Rho = ∂π/∂r

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