Use the following information to answer questions 21-25. Modigliani Corporation expects it\u2019s EBIT to be $270,000 perpetually and their cost of unlevered equity is 15%. Their tax rate is 30%. They are contemplating borrowing $750,000 at an interest rate of 9% to repurchase shares. 21. What is the value of the unlevered firm? a. $1,240,000 b. $1,260,000 c. $1,280,000 d.$1,300,000 e. $1,320,000<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n To calculate the value of the unlevered firm<\/strong>, we use the Modigliani-Miller Proposition I with no debt<\/strong> (i.e., unlevered firm value), which assumes: Value of Unlevered Firm(VU)=EBIT\u00d7(1\u2212Tax Rate)Cost of Unlevered Equity (rU)\\text{Value of Unlevered Firm} (V_U) = \\frac{EBIT \\times (1 – \\text{Tax Rate})}{\\text{Cost of Unlevered Equity (r}_U\\text{)}}<\/p>\n\n\n\n First, calculate the after-tax EBIT<\/strong>: EBIT after tax=EBIT\u00d7(1\u2212Tax Rate)=270,000\u00d7(1\u22120.30)=270,000\u00d70.70=189,000\\text{EBIT after tax} = EBIT \\times (1 – \\text{Tax Rate}) = 270,000 \\times (1 – 0.30) = 270,000 \\times 0.70 = 189,000<\/p>\n\n\n\n Now, plug this into the valuation formula: VU=189,0000.15=1,260,000V_U = \\frac{189,000}{0.15} = 1,260,000<\/p>\n\n\n\n b. $1,260,000<\/strong><\/p>\n\n\n\n The value of an unlevered firm is the present value of its future cash flows if the firm is entirely equity-financed (i.e., no debt). According to the Modigliani-Miller (MM) Proposition I with taxes, the value of a firm depends on its earnings and tax shield, but for an unlevered firm<\/strong>, only after-tax operating income<\/strong> and the cost of equity<\/strong> are relevant.<\/p>\n\n\n\n In this scenario, Modigliani Corporation expects perpetual EBIT of $270,000, which means this level of earnings before interest and taxes is expected to continue indefinitely. Since the firm currently has no debt, it pays no interest expense, and the entire EBIT is subject to corporate taxes.<\/p>\n\n\n\n To determine the value of the unlevered firm, we first calculate the net operating profit after taxes (NOPAT), which is the EBIT adjusted for taxes. With a 30% tax rate, the after-tax EBIT is $189,000. This figure represents the net income available to equity holders<\/strong> in the absence of debt.<\/p>\n\n\n\n Next, because the cash flows are perpetual, we use the perpetuity formula to value the firm: Firm Value=NOPATCost of Equity\\text{Firm Value} = \\frac{\\text{NOPAT}}{\\text{Cost of Equity}}<\/p>\n\n\n\n With a 15% cost of unlevered equity, the value comes out to: 189,0000.15=1,260,000\\frac{189,000}{0.15} = 1,260,000<\/p>\n\n\n\n This valuation reflects the total market value of Modigliani Corporation without any leverage, forming the basis for analyzing how debt would later affect firm value.<\/p>\n\n\n\n \u2705 Correct answer: b. $1,260,000<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":" Use the following information to answer questions 21-25. Modigliani Corporation expects it\u2019s EBIT to be $270,000 perpetually and their cost of unlevered equity is 15%. Their tax rate is 30%. They are contemplating borrowing $750,000 at an interest rate of 9% to repurchase shares. 21. What is the value of the unlevered firm? a. $1,240,000 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-15913","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/15913","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=15913"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/15913\/revisions"}],"predecessor-version":[{"id":15914,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/15913\/revisions\/15914"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=15913"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=15913"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=15913"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nGiven:<\/strong><\/h3>\n\n\n\n
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\n\n\n\nStep-by-step Calculation:<\/strong><\/h3>\n\n\n\n
\n\n\n\nAnswer:<\/strong><\/h3>\n\n\n\n
\n\n\n\nExplanation (300 words):<\/strong><\/h3>\n\n\n\n