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Shikazi Bhd is experiencing rapid growth
Shikazi Bhd is experiencing rapid growth. Dividends are expected to grow at 12% per year during the next 3 years, and then 8% per year indefinitely . The required rate of return on this common stock is 16% and the stock currently sells for RM33.60 per share. What is the expected dividend for the coming year (D1) ?
Expert Solution
Computation of Expected Dividend for Coming Year (D1):
Let us assume:
Dividend in year 0 = D0
Hence:
D1 = D0 * 1.12
D2 = D0 * 1.12^ 2
D3 = D0 * 1.12^3
D4 = D0 * 1.12^3 * 1.08
Hence:
Horizon value of stock at the end of year 3 = D4 /(r - g)
= D0 * 1.12^3 * 1.08 / (16% - 8%)
= D0 * 18.9665
Given that:
Stock currently sells for 33.60 per share.
Hence:
33.60 = D0 * 1.12/1.16 + D0 * 1.12^ 2 / 1.16^ 2 + D0 * 1.12^3 / 1.16^3 + D0 * 18.9665/1.16^3
33.60 = D0 * (1.12/1.16 + 1.12^ 2 / 1.16^ 2 + 1.12^3 / 1.16^3 + 18.9665/1.16^3)
33.60 = D0 * 14.94885
D0 = 33.60 / 14.94885
D0 = $2.2477 or $2.25
Hence:
Projected dividend for the coming year = D0 * 1.12
= 2.2477 * 1.12
= $2.5174 or $2.52
So, Projected dividend for the coming year is $2.52
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