Appraising the Secretaries

You recently purchased a stock that is expected to earn 12% in a booming economy, 8% in a normal economy and lose 5% in a recessionary economy. There is a 15% probability of a boom, a 75% chance of a normal economy, and a 10% chance of a recession. What is your expected rate of return on this stock?

1. If Middlesex increases its cash dividends in 2012 at the same rate of growth as its Net Income rate, what will be the total 2012 dividend payout in Dollars?

21. Universal Forests current stock price is $154.00 and it is likely to pay a $5.23 dividend next year. Since analysts estimate Universal Forest will have a 13.0% growth rate what is the required return?

25. Ray Long wants to retire in Arizona when he is 70 years of age. Ray is now 50. He believes he will need $130,000 to retire compfortably. To date,

2. 2010 Payout = $3,600,000/$10,800,000 = 0.33 = 33% 2011 Dividends = (0.33)(2009 Net income) = (0.33)($14,400,000) = $4,800,000 (Note: If the payout ratio is rounded off to 33%, 2011 dividends are then calculated as $4,752,000.)

Suppose Ace, over the last few years, has had an 18 percent average return on equity (ROE) and has paid out 20 percent of its net income as dividends. Under what conditions could this information be used to help estimate the firm’s expected future growth rate, g? Estimate ks using this procedure for determining g.

9. You want to purchase a business with the following cash flows. How much would you pay for this business today assuming you needed a 14% return to make this deal?

-Martin Industries just paid an annual dividend of $1.30 a share. The market price of the stock is $36.80 and the growth rate is 6.0 percent. What is the firm's cost of equity?

Dividends were assumed to grow at the geometric average of the last 6 years, 20.28%. P0 = D2 Dn Pn D1 + + ··· + + 1 2 n (1 + Ke ) (1 + Ke ) (1 + Ke ) (1 + Ke )n $1.58 $2.28 $87.31 $1.31 + + ··· + + = 1 2 4 (1 + 7.0%) (1 + 7.0%) (1 + 7.0%) (1 + 7.0%)4 = $72.53

23) Danroy Inc has announced a $5 dividend. If Danroy's last price while trading cum-dividend is $65, what should its first ex-dividend price be (assuming perfect capital markets)?

For g, we are given that the dividend has grown from $0.82 to $1.20 in four years. We use the compound interest formula to get the growth rate

The valuation process, in this case, requires us to estimate the short-run non-constant growth rate and predict future dividends. Then, we must estimate a constant long-term growth rate at which the firm is expected to grow. Generally, we assume that after a certain point of time, all firms begin to grow at a rather constant rate. Of course, the difficulty in this framework is estimating the short-term growth rate, how long the short-term growth will hold, and the long-term growth rate.

• Pe = D1/(re – g) = 700 / (0.11 – 0.05) = $11,667 • price per share = $11,667 / 1,000 = $11.67 3. Same facts as (2) above, except the 5% income growth rate (and beginning of year common equity to support it) are only expected for years 2 and 3. Then growth is expected to be zero and all income is expected to be distributed to shareholders for all future years. a. Compute D1, D2, D3, and Dt for all future years. • Keeping in mind that income is $1,100 in year 1, increases by 5% in years 2 and 3, and then remains constant for all future years; and keeping in mind that beginning of year 1 common equity is $8,000, increases by 5% at the beginning of year 2 and at the beginning of year 3, but does not increase at the beginning of year 4 and remains constant from that point forward, you should be able to compute: D1 = $700, D2 = $735, and Dt = 1,212.75 for D3 and all future years. b. Use the dividend discount (i.e., free cash flow to equity investors) valuation model to estimate the company’s current stock price. Pe = 700/(1+ 0.11) + 735/(1+ 0.11)2 + [1,212.75/0.11]/(1+ 0.11)2 = $10,175.31 and the price per share of common stock = $10,175.31 / 1,000 = $10.18. 4. Same facts as (3) above, except the growth rates are 5% for years 2 and 3 and then 3% perpetually for all future years. a. Compute D1, D2, D3 and the growth in D for all future years. • Keeping in mind that income is $1,100 in year 1, increases by 5% in years 2

Corporate Finance ADM 3350 M & P (Winter 2015) Assignment 1 Due Date: February 23, 2015 Question 1 (5 Marks) Varta Inc. has just issued a dividend of $1.50 per share on its common stock. The company paid dividends of $1.10, $1.15, $1.25, and $1.37 per share in the last four years. The stock currently sells for $48. a. What is your best estimate of the company's cost of equity capital using the arithmetic average growth rate in dividends? b. What if you use the geometric average growth rate? Solution: (3 + 2 = 5 Marks)

b. What is Q’s stock worth per share? How does that value depend on the payout ratio and growth rate after year 4?