In: Finance
Mr. Antony inherited the following securities on his uncle’s death:
Types of security |
No of securities |
Annual coupon % |
Maturity years |
Yield % |
Bond A (Rs 1,000) |
10 |
12 |
4 |
14 |
Bond B (Rs 1,000) |
10 |
8 |
7 |
11 |
Preference shares C (Rs 100) |
100 |
12 |
- |
14 |
Preference shares D (Rs 100) |
100 |
13 |
- |
15 |
Compute the current value of his uncle’s portfolio.
Period | Discounting
Factor [1/(1.14^period)] |
Discounting
Factor Annuity (Sum of discounting factor & all previous discounting factors) |
Discounting
Factor [1/(1.11^period)] |
Discounting
Factor Annuity (Sum of discounting factor & all previous discounting factors) |
1 | 0.877192982 | 0.877192982 | 0.900900901 | 0.900900901 |
2 | 0.769467528 | 1.646660511 | 0.811622433 | 1.712523334 |
3 | 0.674971516 | 2.321632027 | 0.731191381 | 2.443714715 |
4 | 0.592080277 | 2.913712304 | 0.658730974 | 3.10244569 |
5 | 0.519368664 | 3.433080969 | 0.593451328 | 3.695897018 |
6 | 0.455586548 | 3.888667517 | 0.534640836 | 4.230537854 |
7 | 0.399637323 | 4.288304839 | 0.481658411 | 4.712196265 |
Value per Security | Total
Value [Value per Security*No of Securities] |
||||||||
Type | Par Value | No of Securities | Annual Coupon | Maturity | Yield | Formula | Calculation | Value | |
Bond A | 1000 | 10 | 0.12 | 4 | 0.14 | [Maturity
Value*Discounting Factor]+ [Coupon*PV Annuity Factor] |
[1000*0.5921]+[(1000*0.12*2.9137] | 941.744 | 9417.44 |
Bond B | 1000 | 10 | 0.08 | 7 | 0.11 | [Maturity
Value*Discounting Factor]+ [Coupon Amount*PV Annuity Factor] |
[1000*0.4817]+[(1000*0.08*4.7122] | 858.676 | 8586.76 |
Pref shares C | 100 | 100 | 0.12 | - | 0.14 | Coupon Amount/Yield | (100*0.12)/0.14 | 85.71429 | 8571.428571 |
Pref share D | 100 | 100 | 0.13 | - | 0.15 | Coupon Amount/Yield | (100*0.13)/0.15 | 86.66667 | 8666.666667 |
Value of Portfolio | 35242.29524 |