Question
Yield to maturity in year 0 13% Obligation of $2,658.44 to be paid out in 8 years Bond 1 Bond 2 Bond 3 Coupon rate
Yield to maturity in year 0 | 13% | |||||
Obligation of $2,658.44 to be paid out in 8 years | ||||||
Bond 1 | Bond 2 | Bond 3 | ||||
Coupon rate | 12.0% | 13.6% | 15.5% | |||
Maturity | 9 | 11 | 25 | |||
Face value | 1,000 | 1,000 | 1,000 | |||
Bond price | ||||||
Face value equal to $1,000 of market value | ||||||
Duration | ||||||
Yield to maturity in year 8 | 13% | |||||
Bond 1 | Bond 2 | Bond 3 | ||||
Bond price (in year 8), assume YTM=13% | ||||||
Value of Reinvested coupons (in year 8) | ||||||
Total | ||||||
Multiply by percent of face value bought | ||||||
Product (Terminal Value) | ||||||
(c.) Would all three bonds be able to fund the obligation if YTM falls to 9% in year 8. Explain your answer (5 pts) | ||||||
Bond 1 | Bond 2 | Bond 3 | ||||
3% | ||||||
4% | ||||||
5% | ||||||
6% | ||||||
7% | ||||||
YTM (yr8) | 8% | |||||
9% | ||||||
(e) Assume year 8 YTM could be different from 13%. | 10% | |||||
Which bond is best suited to meet the obligation? | 11% | |||||
Explain (5 pts) | 12% | |||||
13% | ||||||
14% | ||||||
15% | ||||||
16% | ||||||
17% | ||||||
18% | ||||||
19% | ||||||
20% |
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