FIN630 Assignment # 1 Solution

Semester “Fall 2010”

“Investment Analysis & Portfolio Management” (Fin 630)
Assignment No.01 Marks: 15
'”"""Dividend Discount Model'''''''''''

Company A is currently selling for Rs. 90 and paying dividend of Rs. 10 per share.
Dividend is expected to grow at rate of 5 percent per year. The required rate of return for
investors is 17% to invest in the stock with the degree of riskness.
Company B is currently selling for Rs. 85 and paying dividend of Rs. 10 per share. For
the next year dividend is Rs. 10.6 per share, which shows growth rate of 6 percent per
year. The required rate of return for investors is 17% to invest in the stock with the
degree of riskness.

A) Calculate the price of stock for Company A and Company B using Dividend Discount Model.
B) If you have to choose one of these two stocks, which stock you will buy?
C) If both companies have decided not to pay cash dividend but they are offering 10% stock dividend. If you are holding 500 shares of Company A and 1,000 shares of
Company B, calculate total number of shares of each Company you will hold after receiving stock dividend.
.................
Dividend Discount Model

Company A is currently selling for Rs. 90 and paying dividend of Rs. 10 per share. Dividend is expected to grow at rate of 5 percent per year. The required rate of return for investors is 17% to invest in the stock with the degree of riskness. Company B is currently selling for Rs. 85 and paying dividend of Rs. 10 per share. For the next year dividend is Rs. 10.6 per share, which shows growth rate of 6 percent per year. The required rate of return for investors is 17% to invest in the stock with the
degree of riskness.

A) Calculate the price of stock for Company A and Company B using Dividend Discount Model.
B) If you have to choose one of these two stocks, which stock you will buy?
C) If both companies have decided not to pay cash dividend but they are offering 10% stock dividend. If you are holding 500 shares of Company A and 1,000 shares of Company B, calculate total number of shares of each Company you will hold after receiving stock dividend.

Part A solution:-
Po for A = D(1+g)/r-g
Po = 10(1+0.05)/0.17 – 0.05
Po = 10(1.05)/0.12
Po = 10.5/0.12
Po = 87.5
Po for B = D(1+g)/r-g
Po = 10(1+0.06)/0.17 – 0.06
Po = 10(1.06)/0.11
Po = 10.6/0.11
Po = 96.36

Solution Part B:-

In part B I will buy the stock of company "B" because its current market price is low than fair price which we have calculated by using dividend discount model. Stock of company "B" also has greater growth rate than stock of Company "A"

Solution of Par C

Company offers 10% stock dividend to all shareholders. Means that if you own 100 shares than company will give you 10 more shares free of cost. Number of shares increases but Total Value of Firm is unchanged.

Company A = 500 Share x 10%
Company A = 500 Share x 0.10
Company A = 50
Total Number of Shares = 500+50
Total Number of Share = 550 shares
Company B = 1000 Share x 10%
Company B = 1000 Share x 0.10
Company B = 100
Total Number of Shares = 1000+100
Total Number of Shares = 1100 shares