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A fast growth share has the first dividend (t=1) of $2.41. Dividends are then expected to...

A fast growth share has the first dividend (t=1) of $2.41. Dividends are then expected to grow at a rate of 6 percent p.a. for a further 2 years. It then will settle to a constant-growth rate of 1.6 percent. . If the required rate of return is 16 percent, what is the current price of the share? (to the nearest cent)

Select one:

a. $17.95

b. $36.10

c. $16.74

d. $17.91

A company has its share currently selling at $18.70 and pays dividends annually. The company is expected to grow at a constant rate of 3 percent pa.. If the appropriate discount rate is 18 percent p.a., what is the expected dividend, a year from now (rounded to nearest cent)?

ABC Limited has a stable sales track record but does not expect to grow in the future. Its last annual dividend was $5.39. If the required rate of return on similar investments is 19 percent p.a., what is the current share price? (to the nearest cent; don't use the $ sign)

Solutions

Expert Solution

Required rate= 16.00%
Year Previous year dividend Dividend growth rate Dividend current year Horizon value Total Value Discount factor Discounted value
1 0 0.00% 2.41 2.41 1.16 2.0776
2 2.41 6.00% 2.5546 2.5546 1.3456 1.89848
3 2.5546 6.00% 2.707876 19.106 21.813876 1.560896 13.97523
Long term growth rate (given)= 1.60% Value of Stock = Sum of discounted value = 17.95
Where
Current dividend =Previous year dividend*(1+growth rate)^corresponding year
Unless dividend for the year provided
Total value = Dividend + horizon value (only for last year)
Horizon value = Dividend Current year 3 *(1+long term growth rate)/( Required rate-long term growth rate)
Discount factor=(1+ Required rate)^corresponding period
Discounted value=total value/discount factor

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