Jane manages a fixed income portfolio of three bonds as shown in the following table. The duration of her portfolio is ______________? (5)
Bond |
Maturity |
Price |
Par Amount |
Duration |
A |
15-year |
$110.3412 |
$10 million |
7.39 |
B |
20-year |
$101.4835 |
$5 million |
9.21 |
C |
25-year |
$86.2746 |
$8 million |
12.21 |
Hint: You have to first calculate the market value of each bond, then use the portfolio duration formula
Bond | Maturity | Price | Par Amount | Market Value of investment | Weightage | Duration | Product |
A | 15-year | 110.3412 | 10,000,000 | 11,034,120 | 48% | 7.39 | 3.544 |
B | 20-year | 101.4835 | 5,000,000 | 5,074,175 | 22% | 9.21 | 2.031 |
C | 25-year | 86.2746 | 8,000,000 | 6,901,968 | 30% | 12.21 | 3.662 |
Portfolio Value | 23,010,263 | Portfolio Duration | 9.237 |
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