2.23 Comparison of  Single Discounted Rate (YTM) and Spot Curve 

  • You have noted above that the spot curve discounts each of the bond’s cash flows at a different rate.
  • Alternatively, the bond’s YTM applies the same rate to each of the bond’s cash flows.
  • In the end, using either method will provide the same PV.

 

Exercise: Using the data for the two-year bond on the prior page, calculate, on a period-by-period basis, the present value of the cash flows and hence the bond’s price, using alternately, the single Y-T-M discount rate, and the spot rates. Use the template provided below.

Period CF YTM PV-CF Spot Rates Spot Discount Rates PV-CF
1 4.50
2 4.50
3 4.50
4 104.50
118.00

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Corporate Finance Copyright © 2023 by Kenneth S. Bigel is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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