Question

In: Finance

Mr. Antony inherited the following securities on his uncle’s death: Types of security No of securities...

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.

Solutions

Expert Solution

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

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