Question

What is the present value of a growing perpetuity that makes a payment of $100 in the first year, which thereafter grows at 3% per year? Apply a discount rate of 7%

Answer 1

the present value of a growing perpetuity is $2,060

Step-by-step explanation:

If a cash flow is growing at a constant rate, then we call this a growing perpetuity.

Present Value = PMT ( 1 + g) ÷ (r - g)

where,

g = constant growth rate

= 0.03

r = discount rate

= 0.08

Then,

Present Value = $100 (1,03) ÷ (0.08 - 0.03)

= $2,060