Your portfolio is 5 million euros invested in bonds. The interest rate (market rate) is 6%. The
Question:
Your portfolio is 5 million euros invested in bonds. The interest rate (market rate) is 6%. The horizon of portfolio management is 4 years (in 4 years you will sell all the bonds of the portfolio). Given the structure of the portfolio: 2 bonds with the following characteristics:
Bond | Maturity | Face value | Nominal rate |
1 | 2 years | 2000 | 8% |
2 | 6 years | 3000 | 5% |
a. Compute the price, duration, sensitivity, and convexity of the 2 bonds. Suppose that 2 bonds are annual-coupon-payment bond
b. You invest all your wealth in bond 2, then compute the loss on your portfolio if the market rate increases to 8% using duration, convexity, and the exact variation. What do you observe?
c. Compute the number of each bond if portfolio sensitivity to interest rate becomes 0.
Financial Management for Public Health and Not for Profit Organizations
ISBN: 978-0132805667
4th edition
Authors: Steven A. Finkler, Thad Calabrese