In: Finance
You are promised a cash flow every year forever! Next year you will receive $100. After that, the payment will grow by 1% compounded annually. There is no risk associated with the payments. You can invest and earn a risk-free rate of return of 5%. What is the present value of the perpetuity?
Answer
Calculation of the present value of perpetuity
Formula,
Present value of perpetuity = Cash in year one / (Rate of interest - Growth rate)
= $100 / (5% - 1%)
= $100 / 4%
= $100/ 0.04
= $2,500 (Answer)