Question

(Perpetuities?) What is the present value of the? following? a. A ?$300300 perpetuity discounted back to...

(Perpetuities?) What is the present value of the? following? a. A ?$300300 perpetuity discounted back to the present at 1414 percent b. A ?$4 comma 0004,000 perpetuity discounted back to the present at 1818 percent c. A ?$240240 perpetuity discounted back to the present at 1515 percent d. A ?$6060 perpetuity discounted back to the present at 1111 percent a. What is the present value of a ?$300300 perpetuity discounted back to the present at 1414 ?percent?

Homework Answers

Answer #1

Present Value of Perpetuity = Annual Payment / Interest Rate

Answer a.

Annual Payment = $300
Interest Rate = 14%

Present Value of Perpetuity = $300 / 0.14
Present Value of Perpetuity = $2,142.86

Answer b.

Annual Payment = $4,000
Interest Rate = 18%

Present Value of Perpetuity = $4,000 / 0.18
Present Value of Perpetuity = $22,222.22

Answer c.

Annual Payment = $240
Interest Rate = 15%

Present Value of Perpetuity = $240 / 0.15
Present Value of Perpetuity = $1,600.00

Answer d.

Annual Payment = $60
Interest Rate = 11%

Present Value of Perpetuity = $60 / 0.11
Present Value of Perpetuity = $545.45

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