The value of a security market index at the end of December is 1,200. The index returns for the next six months are:
Month | Return |
January | 3.89% |
February | 8.76% |
March | −4.74% |
April | 6.88% |
May | −5.39% |
June | −8.12% |
The index value at the end of June is closest to:
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Your answer: C was incorrect. The correct answer was A) 1,200.
The index value at the end of June is
1,200(1.0389)(1.0876)(0.9526)(1.0688)(0.9461)(0.9188) = 1,200.
Note that the compound rate of return is
(1.0389)(1.0876)(0.9526)(1.0688)(0.9461)(0.9188)−1 = 0.
Is there an easier, less time wasting way of doing this?
Assume a company has earnings per share of $5 and pays out 40% in dividends. The earnings growth rate for the next 3 years will be 20%. At the end of the third year the company will start paying out 100% of earnings in dividends and earnings will increase at an annual rate of 5% thereafter. If a 12% rate of return is required, the value of the company is approximately:
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Your answer: C was correct!
First, calculate the dividends in years 0 through 4: (We need D4 to calculate the value in Year 3)
D0 = (0.4)(5) = 2
D1 = (2)(1.2) =
2.40
D2 = (2.4)(1.2) = 2.88
D3 = E3 =
5(1.2)3 = 8.64
g after year 3 will be 5%, so
D4 = 8.64 × 1.05 = 9.07
Then, solve for the terminal value at the end of period 3 = D4 / (k − g) = 9.07 / (0.12 − 0.05) = $129.57
Present value of the cash flows = value of stock = 2.4 / (1.12)1 + 2.88 / (1.12)2 + 8.64 / (1.12)3 + 129.57 / (1.12)3 = 2.14 + 2.29 + 6.15 + 92.22 = 102.80