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Given the discount rates and the future cash flow of each project listed, use th

ID: 2700743 • Letter: G

Question

Given the discount rates and the future cash flow of each project listed, use the PI to determine which projects the company should accept (it could be more than one).

Cash Flow

Project U

Project V

Year 0

-$2,100,000

-$2,600,000

Year 1

$525,000

$1,300,000

Year 2

$525,000

$1,050,000

Year 3

$525,000

$800,000

Year 4

$525,000

$550,000

Year 5

$525,000

$300,000

Discount rate

5%

11%

Cash Flow

Project U

Project V

Year 0

-$2,100,000

-$2,600,000

Year 1

$525,000

$1,300,000

Year 2

$525,000

$1,050,000

Year 3

$525,000

$800,000

Year 4

$525,000

$550,000

Year 5

$525,000

$300,000

Discount rate

5%

11%

Explanation / Answer

project U


PV of cash flows = 525000/1.05 + 525000/1.05^2 + 525000/1.05^3 + 525000/1.05^4 + 525000/1.05^5 = $2,272,975.25


PI = PV/intial investment = $2,272,975.25 / 2100000 = 1.082


PROJECT V


Pv of cash flows = 1300000/1.11 + 1050000/1.11^2 + 800000/1.11^3 + 550000/1.11^4 + 300000/1.11^5


=3148665.26532

PI = 3148665.26532 / 2600000 = 1.211


since PI of project V is greater than project U

we choose project V

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