what is the profitability index for the set of cash flows if the relevant discount rate is 9 percent? (do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.)

Respuesta :

Profitability Index at 10% = 1.12

Profitability Index at 15% = 1.04

Profitability Index at 22% = 0.94

- Profitability index :

Profitability Index at 10%

PI = PV of future cash flows / investment, investment = $17200

PV = (9500/(1+0.1)) + (8400/(1+0.1)^2 + 4900/(1+0.1)^3

= 8636.37 + 6942.15 + 3681.44

= 19259.97

So, PI = 19259.97/17200 = 1.119 or 1.12%

Profitability Index at 15%

PV = (9500/(1+0.15)) + (8400/(1+0.15)^2 + 4900/(1+0.15)^3

= 8260.84 + 6351.61 + 3221.83

So, PI = 17834.3/17200 = 1.037 or 1.04%

Profitability Index at 22%

PV = (9500/(1+0.22)) + (8400/(1+0.22)^2 + 4900/(1+0.22)^3

=7786.89 + 5643.64 + 2698.46

=16128.994

So, PI = 16128.944/17200 = 0.938 or 0.94%

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- The complete question is :

Year Cash Flow

0 -$ 17,200

1 9,500

2 8,400

3 4,900

- What is the profitability index for the set of cash flows if the relevant discount rate is 10 percent? (Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.)

- What is the profitability index for the set of cash flows if the relevant discount rate is 15 percent? (Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.)

- What is the profitability index for the set of cash flows if the relevant discount rate is 22 percent? (Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.)