In: Finance
The owner of a development site is considering an offer from a parking lot operator to rent the parcel for the next five years, while the development is being planned and approved. The operator has offered to pay $65,000 today or an annuity of $20,000 at the end of each of the next 5 years. Which payment method should the site owner accept if her required rate of return is 15 percent?
We have to compute the present value of both the option and accept the one which is higher | ||||||||||||||
Option 1 | 65,000 today | |||||||||||||
Present value = | 65000 | |||||||||||||
Option 2 | annuity of $20,000 at the end of each of the next 5 years | |||||||||||||
year | Cash flow | PVIF @ 15% | prenset value | |||||||||||
1 | 20000 | 0.8696 | 17,391.30 | |||||||||||
2 | 20000 | 0.7561 | 15,122.87 | |||||||||||
3 | 20000 | 0.6575 | 13,150.32 | |||||||||||
4 | 20000 | 0.5718 | 11,435.06 | |||||||||||
5 | 20000 | 0.4972 | 9,943.53 | |||||||||||
67,043.10 | ||||||||||||||
present value = | 67,043.10 | |||||||||||||
since present value in option 2 is higher therefore we should accept the "annuity of $20,000 at the end of each of the next 5 years" Payment method. | ||||||||||||||