Question

​(Perpetuities​) What is the present value of the​ following? a. A ​$ perpetuity discounted back to the present at percent b. A ​$ perpetuity discounted back to the present at percent c. A ​$ perpetuity discounted back to the present at percent d. A ​$ perpetuity discounted back to the present at percent

Answer 1

The present value of a perpetuity is calculated as follows:

= Cashflow / Discount rate

a. Present value of $400 perpetuity discounted at 15%

= 400 / 0.15

= $2,666.67

b. Present value of $3,000 perpetuity discounted at 19%

= 3,000 / 0.19

= $15,789.47

c. Present value of $110 perpetuity discounted at 16%

= 110 / 16%

= $687.50

d. Present value of $60 perpetuity discounted at 12%

= 60 / 0.12

= $500