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.
50%
C.
100%
D.
-100%
Current Market Value | ||||||||||
= Expected Dividend / (Discount Rate - Growth Rate) | ||||||||||
= $200 million / (7% - 3%) | ||||||||||
= $200 million / 4% | ||||||||||
= $5000 million | ||||||||||
Market Value after decrease in Interest Rate | ||||||||||
= Expected Dividend / (Discount Rate - Growth Rate) | ||||||||||
= $200 million / (5% - 3%) | ||||||||||
= $200 million / 2% | ||||||||||
= $10000 million | ||||||||||
Market Value Change by | ||||||||||
= (Market Value after decrease in Interest Rate-Current Market Price) / Current Market Value *100 | ||||||||||
= ($10000 - $5000) / $5000 *100 | ||||||||||
= $5000 / $5000 *100 | ||||||||||
= 100% | ||||||||||
So answer is C. 100% | ||||||||||
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