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. | ||||||||||||||