Suppose that in 2020 the expected dividends of the stocks in a broad market index equaled $200 million when the discount rate is 7% and the expected growth rate of the dividends is 3%. Using the constant-growth formula for valuation, if interest rates decrease to 5%, the value of the market will change by
A. |
50% |
|
B. |
-100% |
|
C. |
50% |
|
D. |
100% |
Current Market value | ||||
Market value = D1 / r - g | ||||
Where, | ||||
D1 = Expected Dividend | ||||
r= required rate of return | ||||
g= growth rate | ||||
=200/0.07-0.03 | ||||
=5000 | ||||
Market value if discount rate is 5% | ||||
market value= D1 / r - g | ||||
Where, | ||||
D1 = Expected Dividend | ||||
r= required rate of return | ||||
g= growth rate | ||||
=200/0.05-0.03 | ||||
=10000 | ||||
Market value changed = ($1000-5000)/5000 | ||||
=100% | ||||
Correct Option : D.100% | ||||
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