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Usimov [2.4K]
3 years ago
13

Compute the modified duration of a 9% coupon, 3-year corporate bond with a yield to maturity of 12%.

Business
1 answer:
iragen [17]3 years ago
6 0

Answer:

C. 2.45

Explanation:

Pv of cash flow

1000x9%/(1+0.12)

= 90/1.12

= 80.36

Weight = 1

Weighted pv of cash flow = 80.36

Pv of cash flow

= 1000x9%/(1+0.12)²

= 90/1.2544

= 71.75

Weight = 2

Weighted pv of cash flow = 71.75x2

= 143.5

Pv of cash flow

= (1000+1000*9%)/(1+0.12)³

= 1090/1.404928

= 775.84

Weight = 3

Weighted pv of cash flow

= 775.84x3

= 2327.52

Total pv of cash flow = 80.36+71.75+775.84

= 927.95

Total weight of cash flow pv =

80.36+143.5+2327.52

= 2551.38

Duration = weighted pv/pv

= 2551.38/927.95

= 2.75

Modified duration =

Duration/1+0.12

= 2.75/1.12

= 2.45

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