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Homework answers / question archive / You are considering a project with cash flows of -$170,000, $40,700, $58,300, $45,000

You are considering a project with cash flows of -$170,000, $40,700, $58,300, $45,000

Finance

You are considering a project with cash flows of -$170,000, $40,700, $58,300, $45,000. $52,800 for years 0 to 4. respectively. If the required rate of return for this kind of investment is 12 percent, what is the profitability index? Should you accept or reject the project based on this index value? 0.93; reject O b. 0.87; accept C. 1.02; accept O d. 0.87; reject e. 0.93: accept

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Cash Inflow in year 1=$40700

Present Value of Casah inflow in Year1=40700/1.12=36339

Cash Inflow in year 2=$58300

Present Value of Casah inflow in Year2=58300/(1.12^2)=46476

Cash Inflow in year 3=$45000

Present Value of Casah inflow in Year3=45000/(1.12^3)=32030

Cash Inflow in year 4=$52800

Present Value of Casah inflow in Year4=52800/(1.12^4)=33555

Total Present Value of cash inflows=36339+46476+32030+33555=$148,400

Initial Investment=$170000

Profitability Index=PI=Total Present Value of Cash Inflows/Initial Investment=148400/170000=0.872941

Rounded to 0.87(two decimals). Since it is less than ONE it should be rejected

ANSWER:

d. 0.87 Reject