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9.7 The director of capital budgeting for Big Sky Health Systems Inc. has estima

ID: 2612773 • Letter: 9

Question

9.7      

The director of capital budgeting for Big Sky Health Systems Inc. has estimated the following cash flows (in thousands of dollars) for a proposed new service:

Year                                                    Expected Net Cash Flow

0                                                            ($100)

1                                                            $70

2                                                            $50

3                                                            $20

What is the project’s payback period?

What is the project’s NPV?

What is the project’s IRR?

Explanation / Answer

What is the project’s payback period?

Project’s payback period = 1 + 30/50

Project’s payback period = 1.60 Years

Working

What is the project’s NPV?

Assuming Discount Rate be 10%, Figure are in thousands of dollars

Project’s NPV = - Initial Investment + Cash Flow in Year 1/(1+Discount Rate)  + Cash Flow in Year 2/(1+Discount Rate)^2  + Cash Flow in Year 3/(1+Discount Rate)^3

Project’s NPV = -100 + 70/(1+10%) + 50/(1+10%)^2 + 20/(1+10%)^3

Project’s NPV = $ 19.98

What is the project’s IRR?

Using Excel Formula

IRR = irr(values)

IRR = irr({-100,70,50,20})

IRR = 23.56%

Year Expected Net Cash Flow Cumulative Cash flow 0 -100 -100 1 70 -30 2 50 20 3 20 40