Question

A firm reinvests 60% of its earnings in projects with return on equity of 10%. The...

  1. A firm reinvests 60% of its earnings in projects with return on equity of 10%. The market capitalization rate is 15%. If the expected year-end dividend is $2/share and paid-out earnings of $5/share, find out the growth rate and present value of the growth opportunity.                              (5 marks)

  1. Given:

Long-term government bond rate                                                       4%

Historical risk premium on the market                                                7%

Beta estimate of Sylvia’s Separates                                                   0.95

Price range of Sylvia’s Separates’ share price                                 $5 - $9

Proportion of earnings retained                                                          0.6

Average return on retained earnings                                                 12%

Proposed dividend per share next year                                             $0.30

Current annual interest on company’s loan from bank                  6%

Tax rate                                                                                                    25%

Based on the information given above,

  1. find out the required rate of return using CAPM                  (5 marks)

  1. find out the growth rate and calculate the required rate of return based on Gordon’s dividend growth model (DGM)                 (5 marks)

  1. Explain the Gordon growth model as a technique for the valuation of common stocks and discuss what kind of stocks this model is more appropriate for valuing.                                                              (5 marks)

  1. Discuss how PE ratio can be used in equity valuation and its pitfalls.

                                                                                                                (5 marks)

0 0
Add a comment Improve this question Transcribed image text
Answer #1

a]

growth rate = retention ratio * ROE = 60% * 10% = 6%

PVGO = current share price - (earnings / cost of equity)

current share price = next year dividend / (cost of equity - growth rate)

current share price = ($2 + 6%) / (15% - 6%) = $23.56

PVGO = $23.56 - ($3 / 0.15) = $3.56

b]

i]

required return = risk free rate + (beta * market risk premium) = 4% + (0.95 * 7%) = 10.65%

ii]

growth rate = retention ratio * ROE = 0.6 * 12% = 7.2%

required return = (next year dividend / current share price) + growth rate = ( $0.30 / $7) + 0.072 = 0.1149, or 11.49%

(current share price is taken as the average of the price range of $5 to $9)

c]

Gordon growth model values stocks as the present value of future dividends. The future dividends are assumed to grow at a constant rate perpetually. value of stock is calculated as : next year dividend / (required return - constant growth rate)

This is nothing but the mathematical formula for the present value of a growing perpetuity.

This model is appropriate for valuing stocks with stable, growing dividends

Add a comment
Know the answer?
Add Answer to:
A firm reinvests 60% of its earnings in projects with return on equity of 10%. The...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • What happens to a firm that reinvests its earnings at a rate equal to the firm's...

    What happens to a firm that reinvests its earnings at a rate equal to the firm's required return? Multiple Choice a)Its stock price will remain constant. b)Its stock price will increase by the sustainable growth rate. c)Its stock price will decline unless the dividend payout ratio is zero. d)Its stock price will decline unless the plowback rate exceeds the required return.

  • The cost of retained earnings the required rate of If a firm cannot invest retained earnings...

    The cost of retained earnings the required rate of If a firm cannot invest retained earnings to earn a rate of return return on retained earnings, it should return those funds to its stockholders. The cost of equity using the CAPM approach The yield on a three-month T-bill is 3%, the yield on a 10-year T-bond is 4.30%. the market risk premium is 8.17%. and the Burris Company has a beta of 1.13. Using the Capital Asset Pricing Model (CAPM)...

  • Cost of common stock equity Ross Textiles wishes to measure its cost of common stock equity. The firm's stock is currently selling for S77.77. The firm just recently paid a dividend of $4.11. The...

    Cost of common stock equity Ross Textiles wishes to measure its cost of common stock equity. The firm's stock is currently selling for S77.77. The firm just recently paid a dividend of $4.11. The firm has been increasing dividends regularly. Five years ago, the dividend was just $3.05. After underpricing and flotation costs, the firm expects to net $71.55 per share on a new issue. a. Determine average annual dividend growth rate over the past 5 years. Using that growth...

  • Problem 3 All equity company X trades at a P/E multiple of 25 and is priced...

    Problem 3 All equity company X trades at a P/E multiple of 25 and is priced correctly under Gordon’s model. It has a beta of 1.2. Risk-free rate of return is 3% and the return on the market portfolio is 14%. The company pays out 40% of its earnings as dividends. The expected dividend next year is $1.50 per share. Find ROE.

  • P9-10 (similar to) Cost of common stock equity Ross Textiles wishes to measure its cost of...

    P9-10 (similar to) Cost of common stock equity Ross Textiles wishes to measure its cost of common stock equity. The firm's stock is currently selling for $40.99. The firm just recently paid a dividend of $4.04. The firm has been increasing dividends regularly. Five years ago, the dividend was just $2.99. After underpricing and flotation costs, the firm expects to net $37.30 per share on a new issue. a. Determine average annual dividend growth rate over the past 5 years....

  • Sara Inc's most recent earnings per share were $2.00. Sara has a consistent policy of paying...

    Sara Inc's most recent earnings per share were $2.00. Sara has a consistent policy of paying out 30% of its earnings as dividend. Researchers say that Sara earnings will grow at a constant rate of 10% over the next 5 years, and then will grow at 5% after this. The cost of capital is 9%. a. using the norma two-stage dividend growth model( use gordon growth to find terminal value) find the value of the stock b. using the trailing...

  • Cost of common stock equity Ross Tantiles wishes to measure its cost of common stock equity....

    Cost of common stock equity Ross Tantiles wishes to measure its cost of common stock equity. The firm's stock is currently seling for $41.91. The firm just recently paid a dividend of 54.12. The firm has been increasing dividends regularly. Five years ago, the dividend was just $3.06. After underpricing and flotation costs, the firm expects to net $39.40 per share on a new issue. a. Determine average annual dividend growth rate over the past 5 years. Using that growth...

  • a company's return on equity is greater than its required return on equity. the earnings multiplier...

    a company's return on equity is greater than its required return on equity. the earnings multiplier (p/e) for that company's stock is most likely to be positively related to the a. risk free rate b. market risk premium c. earnings retention ratio d. stocks capital asset pricing model beta

  • 3. Cost of common stock equity Ross Textiles wishes to measure its cost of common stock...

    3. Cost of common stock equity Ross Textiles wishes to measure its cost of common stock equity. The firm's stock is currently selling for $58.74. The firm just recently paid a dividend of $3.97. The firm has been increasing dividends regularly. Five years ago, the dividend was just $2.95. After underpricing and flotation costs, the firm expects to net $54.63 per share on a new issue. a. Determine average annual dividend growth rate over the past 5 years. Using that...

  • 5. The cost of retained earnings Aa Aa If a firm cannot invest retained earnings to...

    5. The cost of retained earnings Aa Aa If a firm cannot invest retained earnings to earn a rate of return the required rate of return on retained earnings, it should return those funds to its stockholders. The cost of equity using the CAPM approach The current risk-free rate of return (rRE) is 3.86%, while the market risk premium is 6.63%. the D'Amico Company has a beta of 0.78. Using the Capital Asset Pricing Model (CAPM) approach, D'Amico's cost of...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT