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Following is information on two alternative investments being considered by Tige

ID: 2528776 • Letter: F

Question

Following is information on two alternative investments being considered by Tiger Co. The company requires a 4% return from its investments.
  

  
Compute the internal rate of return for each of the projects using Excel functions. Based on internal rate of return, indicate whether each project is acceptable. (Round your answers to 2 decimal places.)

Project X1 Project X2 Initial investment $ (80,000 ) $ (120,000 ) Expected net cash flows in year: 1 25,000 60,000 2 35,500 50,000 3 60,500 40,000 Compute the internal rate of return for each of the projects using Excel functions. Based on internal rate of return, indicate whether each project is acceptable. (Round your answers to 2 decimal places.) IRR Acceptable? Project X1 Project X2 % Yes 1% Yes

Explanation / Answer

Solution:

Internal Rate of Return is the discounting rate at which present value of cash outflow is equals to the present value of cash inflows.

In other words, at IRR Net Present Value of the project is ZERO.

IRR is calculated by trial and error method using excel

Project X1

Year

Cash Flow

PV factor @ 20.34%

PV of Cash Flow

0

($80,000)

1

-$80,000

1

25000

0.831

$20,774

2

35500

0.691

$24,514

3

60500

0.574

$34,716

Net Present Value

$4

Net present Value at 20.34% is $4 almost Zero, hence the IRR for Project X1 is 20.34%

Project X2

Year

Cash Flow

PV factor @ 12.98%

PV of Cash Flow

0

($120,000)

1

-$120,000

1

60000

0.885

$53,102

2

50000

0.783

$39,168

3

40000

0.693

$27,734

Net Present Value

$4

Net Present Value at 12.98% is $4 almost ZERO, hence the IRR is 12.98%

Project X1 = IRR 20.34%

Project X2 = IRR 12.98%

Both the projects is acceptable since the required return of company is 4% and both the project has higher IRR.

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Project X1

Year

Cash Flow

PV factor @ 20.34%

PV of Cash Flow

0

($80,000)

1

-$80,000

1

25000

0.831

$20,774

2

35500

0.691

$24,514

3

60500

0.574

$34,716

Net Present Value

$4