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4 years ago

Solo Corp. is evaluating a project with the following cash flows:

Business

1 answer:

pychu [463]4 years ago

8 0

Answer and Explanation:

The computation of MIRR under the following methods are shown below:

a. Using the Discounting Approach:

Interest Rate = 8%

The Present Value of Cash Outflows os

= -$28,100 - $8,500 ÷ 1.08^5

= -$33,884.96

Now

Let us assume the MIRR be i%

So,

0 = -$33,884.96 + $10,300 ÷ (1 + i) + $13,000 ÷ (1 + i)^2 + $14,900 ÷ (1 + i)^3 + $12,000 ÷ (1 + i)^4

Now use the financial calculator, after using it i is 17.18%

Thus, MIRR is 17.18%

b. Using the Reinvestment Approach:

Interest Rate = 8%

The Future Value of Cash Flows is

= $10,300 × 1.08^4 + $13,000 × 1.08^3 + $14,900 × 1.08^2 + $12,000 × 1.08 - $8,500

= $52,228.65

Let us assume MIRR be i%

So,

0 = -$28,100 + $52,228.65 ÷ (1 + i)^5

(1 + i)^5 = 1.85867

1 + i = 1.1320

i = 0.1320

= 13.20%

Thus, MIRR is 13.20%

c. Using the Combination Approach:

Interest Rate = 8%

Present Value of Cash Outflows is

= -$28,100 - $8,500 ÷ 1.08^5

= -$33,884.96

And,

Future Value of Cash Inflows is

= $10,300 × 1.08^4 + $13,000 × 1.08^3 + $14,900 × 1.08^2 + $12,000 × 1.08

= $60,728.65

Let us assume MIRR be i%

So,

0 = -$33,884.96 + $60,728.65 ÷ (1 + i)^5

(1 + i)^5 = 1.7922

1 + i = 1.1238

i = 0.1238

= 12.38%

Thus, MIRR is 12.38%

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