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An investment offers $9,200 per year for 17 years, with the first payment occurr

ID: 2617827 • Letter: A

Question

An investment offers $9,200 per year for 17 years, with the first payment occurring one year from now. Assume the required return is 12 percent.


What is the value of the investment today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Present value            $

What would the value be if the payments occurred for 42 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Present value            $

What would the value be if the payments occurred for 77 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Present value            $

What would the value be if the payments occurred forever? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Present value            $

Explanation / Answer

An investment offers $9,200 per year for 17 years, with the first payment occurring one year from now. Assume the required return is 12 percent.


What is the value of the investment today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Present value            $

Using financial calculator BA II Plus - Input details:

17 years

I/Y = Yield = Rate =

12.00

FV = Future Value =

$0

N = Number of payments =

17

PMT = Payments =

-$9,200.00

CPT > PV = Present Value =

$65,500.60


What would the value be if the payments occurred for 42 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Present value            $

Using financial calculator BA II Plus - Input details:

42 years

I/Y = Yield = Rate =

12.00

FV = Future Value =

$0

N = Number of payments =

42

PMT = Payments =

-$9,200.00

CPT > PV = Present Value =

$76,009.84



What would the value be if the payments occurred for 77 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Present value            $

Using financial calculator BA II Plus - Input details:

77 years

I/Y = Yield = Rate =

12.00

FV = Future Value =

$0

N = Number of payments =

77

PMT = Payments =

-$9,200.00

CPT > PV = Present Value =

$76,654.23


What would the value be if the payments occurred forever? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Present value            $

PV for payment occurring forever’s formula:

PV = Payment / Rate = 9200/12% = $76,666.67

Using financial calculator BA II Plus - Input details:

17 years

I/Y = Yield = Rate =

12.00

FV = Future Value =

$0

N = Number of payments =

17

PMT = Payments =

-$9,200.00

CPT > PV = Present Value =

$65,500.60

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