Dec 05'23

Exercise

You are given the following prices of US Treasury Strips (discount or zero coupon bonds):

Maturity Price (per 100 FV)
1 96.2
2 91.6
3 86.1

Now, suppose you are offered a project which returns the following cashflows:

  1. $300m at the end of year 1
  2. $210m at the end of year 2
  3. $400m at the end of year 3

The project costs $600m today. Calculate the NPV of the project using the spot rates computed above.

  • $0
  • $75
  • $150
  • $225
  • $250

References

Lo, Andrew W.; Wang, Jiang. "MIT Sloan Finance Problems and Solutions Collection Finance Theory I" (PDF). alo.mit.edu. Retrieved November 30, 2023.

Dec 05'23

Solution: D

PV = $300M × 96.2/100 + $210M × 91.6 /100 + $400M × 86.1/100 − $600M = $225.36

References

Lo, Andrew W.; Wang, Jiang. "MIT Sloan Finance Problems and Solutions Collection Finance Theory I" (PDF). alo.mit.edu. Retrieved November 30, 2023.

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