SAM Ltd. has just paid a dividend of 2 per share and it is expected to grow @ 6% p.a. After paying dividend, the Board declared to take up a project…
CA Final · Advanced Financial Management · MTP · January 2026
SAM Ltd. has just paid a dividend of 2 per share and it is expected to grow @ 6% p.a. After paying dividend, the Board declared to take up a project by retaining the next three annual dividends. It is expected that this project is of same risk as the existing projects. The results of this project will start coming from the 4th year onward from now. The dividends will then be - 2.50 per share and will grow @7% p.a. An investor has 1,000 shares in SAM Ltd. and wants a receipt of at least - 2,000 p.a. from this investment. Show that the market value of the share is affected by the decision of the Board. Also show as to how the investor can maintain his target receipt from the investment for first 3 years and improved income thereafter, given that the cost of capital of the firm is 8%.
Suggested Answer and Working Notes:
Value of share at present = D1 / (ke-g) = 2(1.06) / (0.08-0.06) = 106 However, if the Board implement its decision, no dividend would be payable for 3 years and the dividend for year 4 would be - 2.50 and growing at 7% p.a. The price of the share, in this case, now would be: Po = (2.50 / (0.08-0.07)) X (1 / (1+0.08)³) = 198.46 So, the price of the share is expected to increase from 106 to 198.45 after the announcement of the project. The investor can take up this situation as follows: Expected market price after 3 years = 2.50 / (0.08-0.07) = 250.00 Expected market price after 2 years = (2.50 / (0.08-0.07)) X (1 / (1+0.08)) = 231.48 Expected market price after 1 years = (2.50 / (0.08-0.07)) X (1 / (1+0.08)²) = 214.33 In order to maintain his receipt at least - 2,000 for first 3 year, he would sell: 10 shares in first year @214.33 for 2,143.30 9 shares in second year @231.48 for 2,083.32 8 shares in third year @250 for 2,000.00 At the end of 3rd year, he would be having 973 shares valued @250 each i.e.2,43,250. On these 973 shares, his dividend income for year 4 would be @2.50 i.e.2,432.50. So, if the project is taken up by the company, the investor would be able to maintain his receipt of at least - 2,000 for first three years and would be getting increased income thereafter.
Topics: Security Valuation
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