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The following treasury spot rates for the next 8 years are gathered from the market: Maturity (Years) Spot Rate 1 0.254% 2 0.787% 3 1.241%

The following treasury spot rates for the next 8 years are gathered from the market:

Maturity

(Years)

Spot

Rate

1

0.254%

2

0.787%

3

1.241%

4

1.563%

5

1.979%

6

1.544%

7

1.685%

8

1.432%

  1. Based on these spot rates, find the following forward rates:

3y1y

5y1y

4y4y

3y5y

2y6y

6y2y

  1. If you believe the interest rate 2 years from now on a treasury security that 8 years from now will be 1.5%, would you prefer to invest in an 8-year maturity now, or invest in a 2-year security and reinvest at the market rate for 6 years? Why?

  1. Based on the forward rates, what is the implication for the economy in year 6? Describe an appropriate investment strategy.

  1. A bond with a 8-year tenor has an annual coupon of 5%. The yield to maturity of the bond is 3.25%. Using this information as well as the spot rates above, compute the z-spread for the bond.

  1. You purchased the above bond with a yield to maturity of 3.25%. In between the third and fourth coupon payment, interest rates fall and appropriate market rate/reinvestment rate is 2.75% (beginning with fourth coupon payment). Calculate the return if:

  1. the bond is held to maturity;
  2. the bond is sold immediately after the sixth coupon payment is received.

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