Corporate Finance
Corporate Finance
3rd Edition
ISBN: 9780132992473
Author: Jonathan Berk, Peter DeMarzo
Publisher: Prentice Hall
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Chapter 20, Problem 13P

You are long two calls on the same share of stock with the same exercise date. The exercise price of the first call is $40 and the exercise price of the second call is $60. In addition, you are short two otherwise identical calls, both with an exercise price of $50. Plot the value of this combination as a function of the stock price on the exercise date. What is the name of this combination of options?

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An insurance company has liabilities of £7 million due in 10 years' time and £9 million due in 17 years' time. The assets of the company consist of two zero-coupon bonds, one paying £X million in 7 years' time and the other paying £Y million in 20 years' time. The current interest rate is 6% per annum effective. Find the nominal value of X (i.e. the amount, IN MILLIONS, that bond X pays in 7 year's time) such that the first two conditions for Redington's theory of immunisation are satisfied. Express your answer to THREE DECIMAL PLACES.
An individual is investing in a market where spot rates and forward rates apply. In this market, if at time t=0 he agrees to invest £5.3 for two years, he will receive £7.4 at time t=2 years. Alternatively, if at time t=0 he agrees to invest £5.3 at time t=1 for either one year or two years, he will receive £7.5 or £7.3 at times t=2 and t=3, respectively. Calculate the price per £5,000 nominal that the individual should pay for a fixed-interest bond bearing annual interest of 6.6% and is redeemable after 3 years at 110%. State your answer at 2 decimal places.
The one-year forward rates of interest, f+, are given by: . fo = 5.06%, f₁ = 6.38%, and f2 = 5.73%. Calculate, to 4 decimal places (in percentages), the three-year par yield.

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