Assume a major investment service has just given Big Lake Realty its highest investment? rating, along...

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Assume a major investment service has just given Big Lake Realtyits highest investment? rating, along with a strong buyrecommendation. As a? result, you decide to take a look foryourself and to place a value on the? company's stock.? Here's whatyou? find: This? year, Big Lake paid its stockholders an annualdividend of ?$4.93 a? share, but because of its high rate of growthin? earnings, its dividends are expected to grow at the rate of 9?%a year for the next five years and then to level out at 5 % a year.So? far, you've learned that the stock has a beta of 1.15?, the?risk-free rate of return is 4.8?%, and the expected return on themarket is 10.8?%.

Using the CAPM to find the required rate of? return, put a valueon this stock.

Answer & Explanation Solved by verified expert
4.5 Ratings (963 Votes)

Required Ret = Rf + Beta ( Rm - Rf )

= 4.8% + 1.15 [ 10.8% - 4.8% ]

= 4.8% + 1.15 [ 6% ]

= 4.8% + 6.9%

= 11.7%

Value of STock = PV of CFs from it.

Div Calculation:

Year CF Formula Calculation
1 $      5.37 D0(1+g) 4.93*1.09
2 $      5.86 D1(1+g) 5.37*1.09
3 $      6.38 D2(1+g) 5.86*1.09
4 $      6.96 D3(1+g) 6.38*1.09
5 $      7.59 D4(1+g) 6.96*1.09
6 $      7.96 D5(1+g) 7.59*1.05

P5 = D6 / [ Ke - g ]

= 7.96 / [ 11.7% - 5% ]

= 7.96 / 6.7%

= 118.81

P0 Calculation:

Year CF PVF @11.7% Disc CF
1 $      5.37 0.895255 $      4.81
2 $      5.86 0.801482 $      4.69
3 $      6.38 0.717531 $      4.58
4 $      6.96 0.642373 $      4.47
5 $      7.59 0.575088 $      4.36
5 $ 118.81 0.575088 $   68.33
Value of Stock $   91.25

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Transcribed Image Text

Assume a major investment service has just given Big Lake Realtyits highest investment? rating, along with a strong buyrecommendation. As a? result, you decide to take a look foryourself and to place a value on the? company's stock.? Here's whatyou? find: This? year, Big Lake paid its stockholders an annualdividend of ?$4.93 a? share, but because of its high rate of growthin? earnings, its dividends are expected to grow at the rate of 9?%a year for the next five years and then to level out at 5 % a year.So? far, you've learned that the stock has a beta of 1.15?, the?risk-free rate of return is 4.8?%, and the expected return on themarket is 10.8?%.Using the CAPM to find the required rate of? return, put a valueon this stock.

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