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FIN361 HWPS for posting Sp 2018(2) Word Mailings ReviewView9 Tell me what you wa

ID: 1171172 • Letter: F

Question

FIN361 HWPS for posting Sp 2018(2) Word Mailings ReviewView9 Tell me what you want to do rences AaBbCcD AaBbCcI AaBbCcDc AaBbCcDc AaBbC Aab EE 1 Normal Body Text iTNo Spac TTable Pan. Heading 1 Head ay t A+ _ t-, T. ?. _ _ Paragraph Styles Problem 4 (3 points) Nannini Company (NC) recently paid a $1.25 dividend per share. The dividend of NC is expected to grow by 21 percent next year, 16 percent the following year and 11 percent the year after before growing at a constant rate of 6 percent growth that continues forever. NC's beta is 1.14, the risk-free rate of interest is 2.9 percent, and the market portfolio generates 12 25 percent rate of return What is the stock price of NC today?

Explanation / Answer

Stock Price today is $ 20.78

Working:

As per Dividend discount model, price of stock is the present value of dividends .

a. Calculation of Required rate of return As per Capital Asset Pricing Model, Required return = Rf+beta*(Rm-Rf) Where, = 2.9%+1.14*(12.25%-2.9%) Rf 2.9% = 13.56% Beta 1.14 Rm 12.25% b. Present Value of 3 years dividend Year Dividend Discount factor @ 13.56% Present Value 1 $       1.51      0.8806 $       1.33 2 $       1.75      0.7754 $       1.36 3 $       1.95      0.6828 $       1.33 Present Value $       4.02 Working: Year Previous Year dividend Growth Rate Current Year dividend 1 $       1.25 21% $       1.51 2 $       1.51 16% $       1.75 3 $       1.75 11% $       1.95 c. Terminal Value of dividend in Year 3 Terminal Value = D3*(1+g)/(ke-g) Where, = 1.75*(1+0.06)/(0.1356-0.06) D3 $       1.75 = $    24.54 g 6% Ke 13.56% d. Present Value of terminal Value = $    24.54 x      0.6828 = $    16.76 e. Present Value of all dividends = Present Value of 3 years dividend + Present Value of terminal value of dividend = $       4.02 + $    16.76 = $   20.78