Formula for selling price of a bond
(Refer picture)
2n = maturity period expressed in terms of half- yearly periods
Sr. No. | No. of bonds | Face value | coupon rate | No. of years | interest payment period | Selling price of 1 bond formula | Selling price of 1 bond | Selling price of total bonds |
a | 410 | 1000 | 8% | 5 | annually | 80*3.7908+1000*0.6209 | 924.164 | 378907.24 |
b | 410 | 1000 | 8% | 5 | semiannually | 80*7.7217+1000*0.6139 | 1231.636 | 504970.76 |
c | 850 | 1000 | 8% | 10 | semiannually | 80*12.4622+1000*0.3769 | 1373.876 | 1167794.6 |
d | 1960 | 500 | 12% | 15 | semiannually | 60*15.3724+500*0.2313 | 1037.994 | 2034468.24 |
Present value factor of 10% |
||
Year | Factor | Annuity factor |
1 | 0.9090909091 | 0.9090909091 |
2 | 0.826446281 | 1.73553719 |
3 | 0.7513148009 | 2.486851991 |
4 | 0.6830134554 | 3.169865446 |
5 | 0.6209213231 | 3.790786769 |
6 | 0.5644739301 | 4.355260699 |
7 | 0.5131581182 | 4.868418818 |
8 | 0.4665073802 | 5.334926198 |
9 | 0.4240976184 | 5.759023816 |
10 | 0.3855432894 | 6.144567106 |
11 | 0.3504938995 | 6.495061005 |
12 | 0.3186308177 | 6.813691823 |
13 | 0.2896643797 | 7.103356203 |
14 | 0.2633312543 | 7.366687457 |
15 | 0.2393920494 | 7.606079506 |
Present value factor of 5% |
||
Year | Factor | Annuity factor |
1 | 0.9523809524 | 0.9523809524 |
2 | 0.9070294785 | 1.859410431 |
3 | 0.8638375985 | 2.723248029 |
4 | 0.8227024748 | 3.545950504 |
5 | 0.7835261665 | 4.329476671 |
6 | 0.7462153966 | 5.075692067 |
7 | 0.7106813301 | 5.786373397 |
8 | 0.676839362 | 6.463212759 |
9 | 0.6446089162 | 7.107821676 |
10 | 0.6139132535 | 7.721734929 |
11 | 0.5846792891 | 8.306414218 |
12 | 0.5568374182 | 8.863251636 |
13 | 0.5303213506 | 9.393572987 |
14 | 0.505067953 | 9.89864094 |
15 | 0.4810170981 | 10.37965804 |
16 | 0.458111522 | 10.83776956 |
17 | 0.4362966876 | 11.27406625 |
18 | 0.4155206549 | 11.6895869 |
19 | 0.395733957 | 12.08532086 |
20 | 0.3768894829 | 12.46221034 |
21 | 0.3589423646 | 12.82115271 |
22 | 0.3418498711 | 13.16300258 |
23 | 0.3255713058 | 13.48857388 |
24 | 0.3100679103 | 13.79864179 |
25 | 0.2953027717 | 14.09394457 |
26 | 0.281240735 | 14.3751853 |
27 | 0.267848319 | 14.64303362 |
28 | 0.2550936371 | 14.89812726 |
29 | 0.2429463211 | 15.14107358 |
30 | 0.2313774487 | 15.37245103 |
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