Question

Suppose that in 2020 the expected dividends of the stocks in a broad market index equaled...

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%

Homework Answers

Answer #1
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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