Question

In: Accounting

A positive profitability index indicates a positive net present value. True or False

A positive profitability index indicates a positive net present value. True or False

Solutions

Expert Solution

--FALSE
This is because a Profitability Index of ONLY 1 or greater than 1 indicates a positive net present value.
Profitability Index is never negative.

--

--Profitability Index = Present value of net cash flows / Initial Investment
AND
--Net present value = Present value of net cash flows - Initial Investment.

--Net Present value will be POSITIVE if Present value of net cash flows are MORE than initial Investment.
--Present values of net cash flows HIGHER than Initial Investment means that NUMERATOR value (in calculating Profitability Index) is also HIGHER, which will give Profitability Index a POSITIVE value.

--Example

Workings Cases 1 2 3 4 5
A Present Values $200,000 $150,000 $500,000 $500,000 $300,000
B Initial Investments $150,000 $150,000 $600,000 $400,000 $350,000
C= A/B Profitability Index 1.33 1.00 0.83 1.25 0.86
D = A - B Net Present Values $50,000 $0 ($100,000) $100,000 ($50,000)

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