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Q6 You w expected 6% for stock A and 50 ant to earn a return of 10% on each of t

ID: 2788240 • Letter: Q

Question

Q6 You w expected 6% for stock A and 50 ant to earn a return of 10% on each of two stocks, A and B. Each of the stocks is to pay a dividend of $4 in the upcoming year. The expected growth rate of dividends is for stockB Usingthe constant growth DDM the intrinsic value or st % ock Q7 Gagliardi Way Corporation has an expected ROE of 15%. If it pays out 30% of its earnings as dividends, its dividend growth rate (or sustainable growth rate) will be An investor buys a stock at $ 32 a share and deposits 50% initial margin. Assume that the maintenance margin is 25%, the stock pays no dividends, and the transaction costs and interest on the margin loan are zero. The price at which the investor would receive a margin call is

Explanation / Answer

6.

According to dividend-discount model,

P0 = D1/(R-G)

P0 = Current stock price

D1 - Dividend at t =1 = 4

R - Required rate = 10%

G - Growth rate = 6%

Intrinsic value of stock A = 4/(0.1-0.06) = $100

7.

Sustainable growth rate = Retention rate*ROE

Retention rate = 1-dividend payout = 1-0.3 = 0.7

Sustainable growth rate = 0.7*15% = 0.1050 = 10.50%

8.

Maintenance margin is the minimum required level of margin to total securities value

Inital margin = 32*0.5 = 16

Let the stock rate be x, at which you receive margin call

Maintenance margin = (x-16)/x = 0.25

x = 21.33

When the price falls to $21.33 investor will receive a margin call.