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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% |
- Based on these spot rates, find the following forward rates:
3y1y
5y1y
4y4y
3y5y
2y6y
6y2y
- 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?
- Based on the forward rates, what is the implication for the economy in year 6? Describe an appropriate investment strategy.
- 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.
- 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:
- the bond is held to maturity;
- the bond is sold immediately after the sixth coupon payment is received.
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