# How to calculate price of a monthly perpetuity given the annual rate compounded monthly?

How would I go about calculating a perpetuity, lets say with monthly cash flows of $100 and a current interest rate of 7% per year compounded monthly if the first cash flow occurs at the end of month 4?

### 3 Answers

Relevance

- Anonymous2 weeks ago
You have a PATTERN of putting homework questions where they don't belong. STOP IT B I T C H.

- Log in to reply to the answers

- olliverLv 63 weeks ago
Present value of a perpetuity is PV = Pmt / i

This needs discounting back from period 4

PV = (Pmt / i) / (1+i)^4

PV = (100 / (7%/12)) / (1+7%/12)^4 = 16,748.62

- Log in to reply to the answers

- Don GLv 74 weeks ago
A monthly annuity of $100 forever, earning interest at .5833% per month, will require an investment of 17,143.84. If the investment is made 4 months before the first annuity payment, then with a FV of 17,143.84, N 4, R .5833%, its PV (the actual investment required) = 16,749.61.

- Log in to reply to the answers

Still have questions? Get answers by asking now.