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What is the present value of an annual $2,000 perpetuity assuming a 5% required

rate of return?
A. $333,33
B. $2,120.00
C. $33,333.33
D. $40,000.00
E. None of the above

User Winston
by
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1 Answer

5 votes

Final answer:

The present value of a $2,000 annual perpetuity at a 5% return rate is calculated using the perpetuity present value formula, giving a result of $40,000.00.

Step-by-step explanation:

The present value of an annual $2,000 perpetuity assuming a 5% required rate of return can be calculated using the perpetuity present value formula, which is: Present Value = Perpetuity Payment / Interest Rate. Given the perpetuity payment (PMT) is $2,000 and the interest rate (r) is 5%, or 0.05 when converted into decimal form, the present value (PV) can be calculated as follows:

PV = PMT / r = $2,000 / 0.05 = $40,000.00.

This means that option D is the correct value. Therefore, the final answer to the student's question is: The present value of a $2,000 perpetuity at a 5% rate is $40,000.00, which is option D.

User Sai Pavan Kumar
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