Value of a Bond | ||||
The Bond is usually valued based on discounting the future cash flows. | ||||
Future cash flows are coupon receipts and the principal amount | ||||
In the Present question :- | ||||
Principal | 1000 | |||
Coupon rate | 10.71% | |||
Years | 23 | |||
Required rate | 10.04% | |||
Yearly Interest | $107.10 | (1000*10.71%) | ||
Payment and Discounting Chart is as follows:- | ||||
1 | 0.9088 | $107.10 | $97.33 | |
2 | 0.8258 | $107.10 | $88.45 | |
3 | 0.7505 | $107.10 | $80.38 | |
4 | 0.6820 | $107.10 | $73.04 | |
5 | 0.6198 | $107.10 | $66.38 | |
6 | 0.5632 | $107.10 | $60.32 | |
7 | 0.5119 | $107.10 | $54.82 | |
8 | 0.4652 | $107.10 | $49.82 | |
9 | 0.4227 | $107.10 | $45.27 | |
10 | 0.3841 | $107.10 | $41.14 | |
11 | 0.3491 | $107.10 | $37.39 | |
12 | 0.3172 | $107.10 | $33.98 | |
13 | 0.2883 | $107.10 | $30.88 | |
14 | 0.2620 | $107.10 | $28.06 | |
15 | 0.2381 | $107.10 | $25.50 | |
16 | 0.2164 | $107.10 | $23.17 | |
17 | 0.1966 | $107.10 | $21.06 | |
18 | 0.1787 | $107.10 | $19.14 | |
19 | 0.1624 | $107.10 | $17.39 | |
20 | 0.1476 | $107.10 | $15.80 | |
21 | 0.1341 | $107.10 | $14.36 | |
22 | 0.1219 | $107.10 | $13.05 | |
23 | 0.1107 | $1,107.10 | $122.61 | |
TOTAL | $1,059.34 | |||
ANSWER:- Value of Bond is $1059.34 |
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