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What is the present value of a perpetuity of $20,000 per month, if the first cash flow will be received exactly nine months from now, and the stated rate is 12% APR compounded monthly

1 Answer

5 votes

Answer:

$1,828,679.65

Step-by-step explanation:

The computation of the present value of the perpetuity is shown below;

The Present value of the perpetuity is

But before that as on the start of the perpetuity is determined using the formula,

= Perpetuity Amount ÷ Monthly rate

= $20,000 ÷ 1%

= $2,000,000

Now

Present value today is

= Present value of perpetuity as on the start of the perpetuity ÷ (1 + Monthly rate)^Months

= $2,000,000 ÷ (1 + 1%)^9

= $2,000,000 ÷ 1.093685273

= $1,828,679.65

User Aaron Lavers
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