A stock has a dividend per share of $5 and is expected to grow at a constant rate of 3% indefinitely. The required rate of return is 9%.
What is the value of the stock?
Answer : B
This question applies the Gordon growth (constant growth dividend discount) model, which values a stock as the present value of an infinite stream of dividends growing at a constant rate. The model assumes that dividends grow steadily and that the required rate of return exceeds the growth rate, ensuring a finite value. The formula is:
Stock Value = D (r g),
where D is the dividend expected next year, r is the required rate of return, and g is the growth rate. If the current dividend is $5, the next dividend equals $5 (1 + 0.03) = $5.15. Substituting into the formula gives:
$5.15 (0.09 0.03) = $5.15 0.06 = $85.83.
This valuation approach is commonly used for mature firms with stable dividend policies and predictable growth. Financial managers and analysts rely on this model to estimate intrinsic stock value and assess whether a stock is overvalued or undervalued relative to its market price.
What is an advantage of using the Gordon growth model to estimate the cost of common equity?
Answer : C
A major advantage of the Gordon growth model is that it explicitly incorporates expectations about future dividend growth. By linking the stock's value to anticipated dividends and their growth rate, the model aligns valuation with investors' forward-looking expectations rather than solely historical data. This forward-looking nature is consistent with modern financial management principles, which emphasize expected future cash flows as the primary driver of value. Unlike CAPM, which focuses on risk via beta, the Gordon growth model directly reflects dividend policy and growth prospects. For mature firms with stable growth, this provides a practical and intuitive estimate of the cost of equity. Option C correctly identifies this strength of the model.
Rusty RoboTech, a robotics technology company, has provided the following financial information for the year 20X3:
* Sales Revenue: $500,000
* Net Income: $50,000
* Dividend Payout: 40% of Net Income
* Total Assets at the beginning of 20X3: $300,000
* Total Liabilities at the beginning of 20X3: $150,000
* Equity at the beginning of 20X3: $150,000
* Historical Cash-to-Sales Ratio: 5%
* Accounts Receivable-to-Sales Ratio: 15%
* Inventory-to-Sales Ratio: 25%
* Cost of Goods Sold-to-Sales Ratio: 43%
For the year 20X4, Rusty RoboTech projects a 20% increase in sales revenue. Other ratios and the dividend policy are expected to remain the same.
What is the projected inventory value for Rusty RoboTech at the beginning of 20X4?
Answer : D
Projected sales for 20X4 equal $500,000 1.20 = $600,000. With the inventory-to-sales ratio expected to remain constant at 25%, projected inventory equals 25% of projected sales. Thus, inventory = 0.25 $600,000 = $150,000. This approach reflects common financial planning techniques where balance sheet items are forecast using stable ratios tied to sales growth. Such pro forma analysis helps managers anticipate future asset needs and financing requirements. Option D correctly applies the inventory-to-sales ratio to projected sales.
What is a limitation of historical mean returns when estimating the cost of common equity?
Answer : C
A limitation of using historical mean returns to estimate the cost of common equity is that past performance may not accurately reflect future investor expectations or future market conditions. Historical averages are backward-looking measures. They summarize what returns were earned over a past period, but they do not directly account for changing economic conditions, shifts in interest rates, changes in business risk, new competition, or revised growth expectations. Because the cost of equity is a forward-looking required return, relying only on historical mean returns can produce misleading estimates if the future differs materially from the past. Choice C is correct because it identifies the main weakness: historical returns may ignore current market conditions and future prospects. Choice A is incorrect because historical returns are usually straightforward to calculate. Choice B describes a dividend-based model, not a historical-return approach. Choice D is also incorrect because the limitation is not that the method only applies to large firms. Financial managers often compare historical-return estimates with other methods, such as CAPM or dividend-growth approaches, to form a more balanced estimate of the cost of equity. Therefore, C is the correct answer.
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Why should a firm not carry too much cash?
Answer : C
A firm should avoid holding too much cash because excess cash creates opportunity costs. Cash is highly liquid and useful for transactions, precautionary needs, and flexibility, but it normally earns a lower return than productive investments such as equipment, expansion projects, debt reduction, or marketable securities with higher yields. When a company keeps more cash than needed for operations and risk management, it sacrifices the potential return that those funds could have earned elsewhere. Financial management emphasizes balancing liquidity against profitability. Too little cash can create distress and limit the ability to pay obligations on time, while too much cash can weaken overall performance by leaving resources idle. Choice C is correct because opportunity cost is the most direct financial drawback of excessive cash balances. Choice A is incorrect because firms do not pay interest simply for holding cash. Choice B is also incorrect because cash itself does not automatically create higher taxes in the way described. Choice D is not a valid financial objective. Therefore, C is the correct answer because unused cash can reduce shareholder value when it is not deployed in higher-return uses.
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How does the capital asset pricing model (CAPM) assist in investment decisions?
Answer : C
The CAPM assists in investment decisions by helping investors and financial managers evaluate the relationship between risk and expected return. The model states that the expected return on a security equals the risk-free rate plus a risk premium based on the security's beta and the market risk premium. In this way, CAPM provides a structured method for deciding whether the expected return of a stock is adequate given its level of systematic risk. Choice C is correct because this risk-return trade-off is the core purpose of the model. CAPM does not predict exact future prices, so choice B is incorrect. It also does not apply only to dividend-paying stocks, making choice A incorrect. Choice D is incorrect because no financial model can guarantee returns in an uncertain market. In financial management, CAPM is widely used to estimate the cost of common equity, evaluate investment performance, and compare required return across securities with different risk levels. Therefore, C is the best answer because CAPM is designed to support investment decisions by linking expected return to systematic market risk.
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What distinguishes a subordinated debenture from a senior debenture?
Answer : B
A subordinated debenture differs from a senior debenture primarily in the priority of claims. Both are typically unsecured debt instruments, but subordinated debentures rank below senior debentures in the event of liquidation or bankruptcy. This means holders of senior debt are paid before holders of subordinated debt if the firm's assets are distributed. Because subordinated debenture holders face greater default risk, they usually require a higher yield as compensation. This ranking feature is a key concept in capital market theory because the risk level of a security affects investor required return and the issuer's cost of capital. Choice A is the opposite of the correct answer. Choice C is incorrect because a debenture is generally unsecured, and subordination does not mean collateral is provided. Choice D is unrelated to the distinction between the two instruments. Financial managers must understand debt priority because it influences financing choices, covenant design, investor demand, and interest cost. Therefore, B is correct because subordination means a lower claim on assets and cash flows relative to senior debtholders.
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