Fin370 Week 5 Problem

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1. Firm A has $10,000 in assets entirely financed with equity. Firm B also has $10,000 in assets, but these assets are financed by $5,000 in debt (with a 10 percent rate of interest) and $5,000 in equity. Both firms sell 10,000 units of output at $2.50 per unit. The variable costs of production are $1, and fixed production costs are $12,000. (To ease the calculation, assume no income tax.) a. What is the operating income (EBIT) for both firms? $3,000.00 (10,000x2.50)-(10,000x1)-12,0000=3,000 b. What are the earnings after interest? $2,500.00 Firm A earned $0.00 in interest (3,000-0)=$3,000 Firm B earned $500.00 in interest 5,000x10% = $500.00 Earnings after interest (3,000-500) = $2,500.00 c. If sales increase by 10 percent to 11,000 units, by what percentage will each firm’s earnings after interest increase? To answer the question, determine the earningsafter taxes and compute the percentage increase in these earnings from the answers you derived in part b. EBIT $4500 ($11000 x 2.50) – ($11000 x 1) –$12000)= $4500 Firm A: $0 interest earned Earnings after taxes ($4500 – 0= $4500) = $4,500.00 Percentage increase= (4500-3000)/3000x10=50% Firm B: interest earned = ($5000 x 10%)=$500 Earnings after taxes= ($4500 - $500=$4000) = $4,500.00 Percentage increase= ($4000-$2500)/$2500 = 60% d. Why are the percentage changes different?The diference is because of the the difference after taxes and the earnings after interest from Firm A to Firm

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