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Question 1: Calculate the durations and volatilities of securities A, B, and C. Their cash flows are shown below. The interest rate is 9%. (Do

Question 1:

Calculate the durations and volatilities of securities A, B, and C. Their cash flows are shown below. The interest rate is 9%. (Do not round intermediate calculations. Round "Duration" to 4 decimal places and "Volatility" to 2 decimal places.)

Period 1 Period 2 Period3 Duration Volatility
A. 120 120 200 years
B. 100 100 280 years
C. 90 90 270 years

Question 2:

Assume coupons are paid annually. Here are the prices of three bonds with 10-year maturities. Assume face value is $100.

Bond Coupon (%) Price (%)
3 89.00
5 108.00
10 139.00

a. What is the yield to maturity of each bond? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)

Bond Coupon (%) YTM

3 %

5 %

10 %

b. What is the duration of each bond? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Bond Coupon (%) Duration

3 years

5 years

10 years

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