Bsop588 Final

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?

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.

Suppose that P.V. Ltd. paid a dividend of $10 at the end of year 1 (any portion of

b. What would Mrs. Beach have to deposit if she were to use common stock and earned an average rate of return of 11%.

Answer: If the dividends increase at the end of the year, the current share price of common stock will increase. Assuming the same growth Rate of 3% and required rate of return at 10.94%. If required rate of return increase to 11%, the current share price of common stock will decrease.

8-2. XYZ, Inc. stock sells for $50.00 and is expected to sell for $54.50 next year. What is XYZ’s capital gains yield (Hint: the percentage change in stock price is the same as the growth rate, “g”)?

-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?

Reinvestment Returns: I found "b" (the reinvestment rate) by using exhibit 1 to calculate the percentage of net income per share of common stock that is paid out in dividends, and subtracting it from 1 to solve for the percentage reinvested. The return on equity, "k", is found by dividing net income (exhibit 1) by book value (exhibit 2). G = b*k shows g = 8.14%.

Some applications of dividend discount modeling can be more complex. One method divides the future growth in dividends into three periods, all of which have different growth rates. This is useful when a company’s profits are expected to grow rapidly and then gradually decline to an industry average. The complexities of this model are outside of the scope of this report, and the model can easily be run using tools found online. The assumptions of this calculation as follows. Walmart is no longer in a growth phase, so this calculation assumes that it is at the transitional phase. Because of this, 2007 data is used to initialize the calculation (EPS, dividend, etc.,) and the ‘growth’ period was 3 years. Initial growth of EPS still assumed to be 10.4%. 14 transitional years, as required by the model (total of 17 years for growth and transition is required). All of these assumptions result in a 3 stage DDM

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)?

Cost of Equity = Risk free rate + (Market return – risk free rate) X beta

• 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

The standard method of calculating a stock price using the perpetual dividend growth model is done by assessing a company’s dividend one year into the future adding the future expected growth rate. The formula is written as: P0 = D1/(Ke − g), where Ke is the investor required return, D1 is next year’s dividend and g is the

Since the price didn’t change, the capital gains yield was zero. If the total return was four percent, then the dividend yield must be four percent.

If the dividend grows at a steady rate, then we have replaced the problem of forecasting an infinite number of future dividends with the problem of coming up with a single growth rate, a considerable simplification. In this case, if we take D0 to be the dividend just paid and g to be the constant growth rate, the value of a share of stock can be written as: