Question
Suppose Ice Cubes, Inc. has the following liability due in five years. The company is going to buy bonds today in order to meet the
Suppose Ice Cubes, Inc. has the following liability due in five years. The company is going to buy bonds today in order to meet the future obligation. The liability and current YTM are below.
Amount of liability: $100,000,000 Current YTM: 8%
A. At the current YTM, what is the face value of the bonds the company has to purchase today in order to meet its future obligation? Assume that the bonds in the relevant range will have the same coupon rate as the current YTM and these bonds make semiannual coupon payments. B. Assume that the interest rates remain constant for the next five years. Thus, when the company reinvests the coupon payments, it will reinvest at the current YTM. What is the value of the portfolio in five years? C. Assume that immediately after the company purchases the bonds, interest rates either rise or fall by one percent. What is the value of the portfolio in five years under these circumstances?
Year | Six-month period | Coupon payment | Value of reinvested coupons at Year 5 | Value of reinvested coupons at Year 5 | Value of reinvested coupons at Year 5 | |
1 | 1 | $8,329,094 | ||||
2 | ||||||
2 | 3 | |||||
4 | ||||||
3 | 5 | |||||
6 | ||||||
4 | 7 | |||||
8 | ||||||
5 | 9 | |||||
10 | ||||||
Future value of coupons: | ||||||
Par value received: | ||||||
Total portfolio value: |
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