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Find the expected return and standard deviation of Bond A and Bond B

by | Nov 30, 2023 | questions

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1.

Bond A is a discount
bond with face value of $100 and maturity of 10 years.

Suppose the yield to
maturity is currently 4%.

Over the course of the
year, prevailing yields are expected to change according to the table below:

Next year’s yield

Probability

3%

0.33

4%

0.34

5%

0.33

–Calculate the expected return of bond A.

—Calculate the standard deviation for bond A

Hints: Discount bonds
pay no coupon. Next year, the maturity on bond A will be 9 years.

Answer as a
percentage, DO NOT enter a % sign. Round to two decimal places.

2.

Bond B is a discount
bond with face value of $100 and maturity of 2 years.

Suppose the yield to
maturity is currently 4%.

Over the course of the
year, prevailing yields are expected to change according to the table below:

Next year’s yield

Probability

3%

0.33

4%

0.34

5%

0.33

Calculate the expected return of bond B

Calculate the standard deviation of Bond B

Hints: Discount bonds
pay no coupon. Next year, the maturity on bond B will be 1 year.

Answer as a
percentage, DO NOT enter a % sign. Round to two decimal places.

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