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Use Appendix B and Appendix D for an approximate answer but calculate your final

ID: 2634920 • Letter: U

Question

Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods.

Year Cashflow
1 $13,000
2 $13,000
3 $1,000

What is the net present value at a discount rate of 2 percent? (Do not round intermediate calculations and round your answer to 2 decimal places.) $_________________

What is the internal rate of return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) ____________%

The Hudson Corporation makes an investment of $23,850 that provides the following cash flow:

Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods.

Year Cashflow
1 $13,000
2 $13,000
3 $1,000

What is the net present value at a discount rate of 2 percent? (Do not round intermediate calculations and round your answer to 2 decimal places.) $_________________

What is the internal rate of return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) ____________%

Explanation / Answer

Net Present Value at discount rate 2%

Year Cashflow
1 $13,000
2 $13,000
3 $1,000

NPV = PV of cash inflows - Initial cash outflow

PV of cash inflows = ($13,000/1.021) + ($13,000/(1.02)2) + ($1,000/(1.02)3)

PV = $12,745.09 + $12,495.19 + $942.32

PV = $ 26,182.60

NPV = $26,182.60 - $ 23,850 = $ 2,332.6

IRR Calculation

IRR is the rate at which the cash inflows equal the cash outflows.

$23,850 = $13,000/(1+r)1 + $13,000 /(1+r)2 + $1,000 /(1+r)3

We need to calculate the value of r using the hit and trial method.

IRR = 8.38%

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