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The current yield curve for default-free zero-coupon bonds is as follows: Maturity (years) Yield to maturity 1 4% 2 5% 5 5.5% Use this information

The current yield curve for default-free zero-coupon bonds is as follows:

Maturity (years)

Yield to maturity

1

4%

2

5%

5

5.5%

Use this information to answer the following questions:

What is the price today of a zero-coupon bond with a maturity of 2 years and a face value of $1,000?

What is the in 1 year for 1 year forward rate

You are interested in buying a default-free security with the following cash flows after 2 years and after 5 years (cash flows are zero at all other dates):

Year

Cash flow

2

$100

5

$1,000

What is the fair price of this security today?

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