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 |