Nerus\' Catering is growing at a very fast rate. As a result, the company expect
ID: 2614248 • Letter: N
Question
Nerus' Catering is growing at a very fast rate. As a result, the company expects to increase its dividend to $0.42, $0.92, and $1.32 over the next three years, respectively. After that, the dividend is projected to increase by 6.5 percent annually. The last annual dividend the firm paid was $0.24 a share. What is the current value of this stock if the required return is 10.3 percent?
The common stock of Major Carter Naquadah Generators is valued at $8 a share. The company increases its dividend by 3.6 percent annually and has just paid a dividend of $0.73 per share. What is the required rate of return (in percents) on this stock?
Explanation / Answer
Q1) Current value of stock $ 29.69 Working: a. Present Value of next three year's dividend Year Dividend Discount factor Present Value a b c=1.103^-1 d=b*c 1 $ 0.42 0.907 $ 0.38 2 $ 0.92 0.822 $ 0.76 3 $ 1.32 0.745 $ 0.98 Total $ 2.12 b. Terminal value of dividend Terminal value = D3*(1+g)/(Ke-g) Where, = 1.32*(1+0.065)/(0.103-0.065) D3 $ 1.32 = $ 36.99 g 6.5% Ke 10.3% c. Present Value of terminal value = $ 36.99 x 0.745 = $ 27.57 d. Present Value of all future dividend = $ 2.12 + $ 27.57 = $ 29.69 As per dividend discount model, Current value of this stock is the present value of all dividend from stock during their lifetime. So, Current value of stock is $ 29.69 Q2) Required rate of return 13.05% Working: As per Capital Asset Pricing model, Required rate of return = (D0*(1+g)/P0)+g Where, = (0.73*(1+0.036)/8)+0.036 D0 $ 0.73 = 13.05% g 3.60% P0 $ 8
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