N=2 year $2000 6% bond with quarterly coupons has redemption value $2050. It is purchased to yield 5% convertible quarterly. Construct a bond amortization table for the n = 8 quarters.
Hint: show first that purchase price is P = 2083.11 (rounded).
n = 8 | ||||||
I = 1.25% | ||||||
Cashflows | Amount | PVf | Present value | |||
Quarterly Interest | 30 | 7.56812 | 227.0436 | |||
Redemption value | 2050 | 0.905398 | 1856.066 | |||
Price of bonds | 2083.11 | |||||
Amort Chart: | ||||||
Period | Cash Int | Int exp | Premium | Unamortized | Carrying value | |
Amortized | Premium | |||||
0 | 83.11 | 2083.11 | ||||
1 | 30 | 26.04 | 3.96 | 79.15 | 2079.15 | |
2 | 30 | 25.99 | 4.01 | 75.14 | 2075.14 | |
3 | 30 | 25.94 | 4.06 | 71.08 | 2071.08 | |
4 | 30 | 25.89 | 4.11 | 66.97 | 2066.97 | |
5 | 30 | 25.84 | 4.16 | 62.80 | 2062.80 | |
6 | 30 | 25.79 | 4.21 | 58.59 | 2058.59 | |
7 | 30 | 25.73 | 4.27 | 54.32 | 2054.32 | |
8 | 30 | 25.68 | 4.32 | 50.00 | 2050.00 | |
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