Yappy Company is considering a capital investment of $320,000 in additional equipment. The new equipment is expected to have a useful life of 8 years with no salvage value. Depreciation is computed by the straight line method. During the life of the investment, annual net income and cash inflows are expected to be $25,000 and $65,000 respectively. Yappy Company requires a 10% return on all new investments. Compute each of the following:
1. Payback period
2. Net present value
3. Profitability index
4. internal rate of return
5. Accounting rate of return
Indicate whether the investment should be accepted or rejected.

a. 4.92 years

b. NPV = $26,770.20

c. 1.0837

d. IRR = 12.26%

e. 15.6%

the project should be accepted

Explanation:

Payback calculates the amount of time it takes to recover the amount invested in a project from it cumulative cash flows

Payback period =  Amount invested / cash flow = $320,000  / $65,000 = 4.92 years

Net present value is the present value of after tax cash flows from an investment less the amount invested.    

Internal rate of return is the discount rate that equates the after tax cash flows from an investment to the amount invested

NPV and IRR can be calculated using a financial calculator

Cash flow in year 0 = $-320,000

Cash flow each year from year 1 to 8 = $65,000

I = 10%

NPV = $26,770.20

IRR = 12.26%

profitability index = 1 + (NPV / Initial investment) = 1 + ($26,770.20 / $320,000 ) = 1.0837

The project should be accepted because the NPV and profitability index are positive. the IRR is greater than the discount rate. this means that the project is profitable. Accounting rate of return = Average net income / Average book value

Average book value = (cost of equipment - salvage value) / 2 = $320,000 / 2 = $160,000

$25,000 / $160,000 = 0.156 = 15.6%

To find the NPV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

To find the IRR using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button.  

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