(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?
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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