Consider three bonds, each promising to pay $100 in 10 years. The first bond is X bond
Question:
Consider three bonds, each promising to pay $100 in 10 years. The first bond is X bond that always pays. The other two are Y bond and Z bond, which may pay the full $100 dollars, or may default and only pay $0, The corresponding probabilities of these events occurring are:
Z pays 100 | Z pays 0 | |
Y pays 100 | 0.4 | 0.1 |
Y pays 0 | 0.1 | 0.4 |
Throughout this problem assume that the present value discounting between today and tomorrow is negligible.
(a) What are the expected values of the X bond, Y bond, and Z bond?
(b) What are the variances of the X bond, Y bond, and Z bond?
(c) What is the covariance of the Y bond, and Z bond?
(d) What is the correlation of the Y bond, and Z bond?
(e) Deciding to diversify, you buy 50% of the X bond, 25% of the Y bond and 25% of the Z bond. What is the expected value and variance of this portfolio?
Fundamentals of Corporate Finance
ISBN: 978-0077861629
8th edition
Authors: Richard Brealey, Stewart Myers, Alan Marcus