Question
The following Treasury Note prices have been observed for annual coupon paying bonds in the market as of 9/15/2014. Date Coupon Rate Price in Decimals
The following Treasury Note prices have been observed for annual coupon paying bonds in the market as of 9/15/2014.
Date | Coupon Rate | Price in Decimals |
---|---|---|
9/15/2015 | 3.5% | 100.00000 |
9/15/2016 | 3.5% | 100.47299 |
9/15/2017 | 3.5% | 101.39991 |
9/15/2018 | 3.5% | 102.54795 |
9/15/2019 | 3.5% | 103.97606 |
9/15/2020 | 3.5% | 105.22412 |
a. Calculate the discount factors implied by the market prices above.
b. Calculate the Spot Rates that correspond with the discount factors in #1 above. Use effective annual compounding conventions.
c. Using the Discount Factors you calculated in #1 calculate the Theoretical Fair Value of a 4 year 4% annual coupon bond maturing on 9/15/2018. ( Assume today is 9/15/2014.)
d. Using the discount factors or spot rates from #1 or 2 above, calculate the coupon rate the Treasury would need to offer on a four year annual coupon Treasury Note to result in an issuance price of par or 100.
e. Using the Spot rates from #2 above calculate the following two Forward Rates (Effective Annual Compounding).
R4,1 =
R1,2 =
Could you show both excel and non-excel please
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