MLK Bank has an asset portfolio that consists of $100 million of 30-year, 8 percent annual coupon, $1000 bonds that sell at par.

a. What will be the bond's new prices if market change immediately by +-0.10 percent? What will be the new prices if market yields change immediately by +-2.00 percent?

b. The duration of these bonds is 12.1608 years. What are the predicted bond prices in each of the four cases using the duration rule? What is the amount of error between the duration prediction and the actual market values?

Please answer the following:

1. What is the amount of error between the duration prediction and the actual market value/price if market yields change immediately by +0.10%?

a. 0.11

b. 0.17

c. 0.09 (incorrect answer)

d. 0.0875

e. 0.14

2. What is the amount of error between the duration prediction and the actual market value/price if market yields change immediately by -0.10%?

a. 0.12

b. 0.10

c. 0.08

d. 0.13 (incorrect answer)

e. 0.07

3. What is the amount of error between the duration prediction and the actual market value/price if market yields change immediately by +2.00%?

a. 36.66

b. 34.66

c. 37.66

d. 35.96 (incorrect answer)

e. 35.66

4. 3. What is the amount of error between the duration prediction and the actual market value/price if market yields change immediately by +2.00%?

a. 52.10

b. 50.10

c. 48.10

d. 49.10 (incorrect answer)

e. 51.10