Asked by Austin Bogle on Jun 28, 2024

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Nu Electronics is expecting a period of intense growth. Thus, the company has decided to retain more of its earnings to help finance the growth. As a result, the company is going to reduce the annual dividend by 25% a year for the next 2 years. After that, it will maintain a constant dividend of $.50 a share. Last year, the company paid $2 per share. What is the market value of this stock if the required rate of return is 14%?

A) $3.79
B) $4.01
C) $4.32
D) $4.93
E) $5.62

Earnings Retention

The portion of a company's profits that is not distributed to shareholders as dividends but is kept by the company to reinvest in its core business or to pay debt.

Annual Dividend

represents the total dividend payment a company distributes to its shareholders within a given fiscal year.

Market Value

The cost for buying or selling assets or services in the marketplace at this time.

  • Calculate the impact of changing dividend policies on stock prices.
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Verified Answer

JJ
Jesse JamesJul 02, 2024
Final Answer :
D
Explanation :
The market value of the stock can be calculated using the dividend discount model for a period of changing dividends followed by constant dividends. The dividends for the next two years are reduced by 25% each year from the last year's dividend of $2. So, the dividends are:Year 1: $2 * (1 - 0.25) = $1.50Year 2: $1.50 * (1 - 0.25) = $1.125After year 2, the dividend is constant at $0.50 per share. The present value of these dividends plus the present value of the perpetuity starting from year 3 can be calculated as follows:PV of Year 1 Dividend = $1.50 / (1 + 0.14)^1 = $1.3158PV of Year 2 Dividend = $1.125 / (1 + 0.14)^2 = $0.8681The constant dividend starts in year 3, so we use the perpetuity formula starting from that point. The present value of a perpetuity is calculated as Dividend / Rate of Return. However, we need to discount it back to present value from year 2:PV of Perpetuity from Year 3 = $0.50 / 0.14 = $3.5714Discounted to present value from the end of year 2: $3.5714 / (1 + 0.14)^2 = $2.7591Adding these up gives the total present value (market value) of the stock:$1.3158 + $0.8681 + $2.7591 = $4.93