...confidence of investors. The equity risk premium is the "extra return" that investors collectively demand for investing their money in stocks instead of holding it in a risk less or close to risk less investment. As a consequence, equity risk premium reflects both investor hopes and fears about stocks, rising as the fear factor increases. As a measure the equity risk premium can be an individual stock or the overall stock market provides over a risk-free rate. And the size of the premium will be a standard to compensate with a higher premium in the stock market. Thus, a portfolio manager when the equity risk premium increases in the future, the investors will sell out stock market because the stocks are over priced. So the legislators and pension administrators decide how much to set aside to meet future pension obligations, based upon assessments of equity risk premiums. However the history data of ERP (Equity Risk Premium) from Federal Reserve System shows it keeps low and stable state but increases suddenly since 2006. At the same time the Federal Funds Effective Rate goes down and keeps low state. We know that interest rate is a way to control inflation. Inflation is a factor causes too much money chasing too few goods. “Changes in the federal funds rate affect the behavior of consumers and businesses, but the stock market is also affected,” Said by Jim Mueller (2013), PhD Finance in Washington State University. “As the risk-free rate goes up, the total...
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...UV0402 Rev. Apr. 8, 2014 APPLYING THE CAPITAL ASSET PRICING MODEL This note discusses how some of the most financially sophisticated companies and financial advisers estimate the cost of equity capital. We particularly focus on areas where finance theory is silent or ambiguous, and practitioners are left to their own devices. Conclusions are based on interviews with two groups: (1) well-regarded firms ranked by peer companies as industry leaders and (2) a sample of 11 of the most active financial advisers (investment banks). For context on academic advice, we also cite recommendations from topselling graduate-level textbooks and trade books in corporate finance.1 Findings The Capital Asset Pricing Model (CAPM) is the dominant model for estimating the cost of equity, with over 90% of firms and all the financial advisers employing this model. Moreover firms and advisers seldom mentioned other asset-pricing models. Yet disagreements exist on how to apply the CAPM. The CAPM states that the required return (R) on any asset can be expressed as Equation 1: R = R f + ( Rm - R f ) (1) 1 Survey evidence and much of the discussion is adapted from T. Brotherson, K. Eades, R. Harris, and R. Higgins, “‘Best Practices’ in Estimating the Cost of Capital: An Update,” Journal of Applied Finance 23, no. 1 (2013), which is an update of an earlier article: R. Bruner, K. Eades, R. Harris, and R. Higgins, “‘Best Practices’ in Estimating the Cost of Capital: Survey and...
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... Tax Rate (5 Year Average) Risk-Free Rate of Return (Rf)(1) S&P 500 Index Market Return (Rm) - Yearly for Last 10 Years Size Premium AAPL D/(D+P+E) AAPL D/E AAPL P/E AAPL Cost of Debt (Rd) - Average of Last 5 Issued Bonds AAPL Cost of Preferred (Rp) AAPL Tax Rate Risk free rate Choose Then 25.4% 1.34% 7.2% 0.0% 7.9% 8.6% 0.0% 2.5% 0.0% 26.4% Levered Beta 1.560 1.547 1.489 0.508 1.522 0.899 Ticker Name NYSE:HPQ Hewlett-Packard Company NYSE:EMC EMC Corporation NasdaqGS:WDC Western Digital Corporation KOSE:A005930 Samsung Electronics Co. Ltd. NasdaqGS:NTAP NetApp, Inc. NasdaqGS:GOOGL Alphabet Inc. Average Total Debt 25,502.0 7,420.0 2,567.0 10,116.9 1,488.0 7,927.0 Mkt. Val. Equity 51,896.8 53,866.3 18,388.4 161,909.4 9,973.5 466,718.1 Pref Equity 0.0 0.0 0.0 0.0 0.0 0.0 Debt/ Equity 49.1% 13.8% 14.0% 6.2% 14.9% 1.7% Pref/ Equity 0.0% 0.0% 0.0% 0.0% 0.0% 0.0% Unlevered Beta(2) 1.141 1.403 1.349 0.485 1.370 0.888 1.254 1.106 Average Unlevered Beta for Comps AAPL D/E AAPL P/E AAPL Tax Rate -3 AAPL Levered Beta United States United States Treasury Constant Maturity - 5 Year 1.106 8.6% 0.0% 26.4% 1.176 WACC Market Risk Premium (Rm - Rf) Multiplied by: AAPL Levered Beta Adjusted Market Risk Premium Add: Risk-Free Rate of Return (Rf)(1) Add: Size Premium Cost of Equity Multiplied by: AAPL E/(D+P+E) Cost of Equity Portion 5.9% 1.176 6.9% ...
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...capital for Midland’s divisions, Mortensen collected beta estimates from several businesses with operations similar to those of Midland’s divisions and used the average of these estimates to derive a beta estimate for divisional beta estimates (pg.6). 2. Calculate Midland’s corporate WACC. Be prepared to defend your specific assumptions about the various inputs to the calculations (risk-free rate, equity market risk premium (EMRP), beta). Is Midland’s choice of EMRP appropriate? If not, what recommendations would you make and why? Midland’s corporate WACC is 9.17%. Please see exhibit 1 for supporting calculations. The risk-free rate for 2006 came from the Department of Treasury’s website, which we added to Midland’s 2006 Equity Market Risk Premium of 5% (pg.6). We used the 10-year rate to approximate the duration of a corporate investment. Equity and debt are derived from figures in Luerhman and Heilprin’s exhibit 5, and reflect closing prices on December 31st, 2006 rather than an annual average (pg.11). Midland’s choice of EMRP is not appropriate because market risk premium...
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...incorrectly, by incorrectly calculating their after tax cost of debt and their cost of equity. This miscalculation has subjected PPC to more risk and has hurt the company’s ability to make appropriate investment decisions. This has also led PPC to accepting investment decisions that should not have been included within their acceptable range. Second, PPC has been using a single company-wide rate for their multi-divisional company. In either instance the company is not maximizing wealth. Statement of Facts and Assumptions: PPC has been calculating their after tax cost of debt using the coupon rate of 12% instead of the actual interest rate which is 8%. Taking the 8% interest rate into account, PPC’s actual cost of capital would be calculated as: [.08(1-.34)]= 5.28%. PPC has simply been using 10% (their equity growth rate) as their cost, but must instead either use the CAPM model to calculate their cost of equity, or the Dividend-growth model. If they use the CAPM model, which is the most accurate, their cost of equity will be: .078+.8(.1625-.078)=14.56%. Or they can use the Dividend-growth model and their cost of equity would be: (2.7/63)+.1=14.29%. Both are acceptable but, because the Dividend-growth model is subjective, and the coupon rate (that PPC was originally using is a sunk cost, they should use the market rate). Thus using the market rate to calculate CAPM you use the Beta and market risk premium which are both based on the market rate and more accurate. Finally, their company...
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...October 10, 2012 i. Risk-Free Rate Risk-free rates will depend on when the cash flow is expected to occur and depend upon the period over which investors want the return to be guaranteed. Consequently, we need to take the time horizon into consideration to find out the most suitable risk-free rate. Midland Energy Resources is a well-established company with 120-year history. It is not a company which relies on seeking special opportunity to earn instant profit so that 1-Year T-bond rate is obviously not a proper option. Instead, a long-term development is expected through capital allocation. Here, we choose 30-Year over 10-Year T-bond rate. Someone may argue that 10-Year is suitable since long-term expected cash flow will be affected by political risk in the Exploration and Production division. This may be true but the company also plans to invest in sophisticated extraction method to extend the lives of older fields as well as developing undeveloped reserves. With such heavy investment the company could not expect a shorter return period and all of these methods may shield the company from those negative affects to some extent. The 30-Year T-bond rate is also preferred by examining the other two divisions. The Refining and Marketing, which is the company’s largest division in aspect of revenue, has long-lived productive assets resulting in a relatively long return period. Moreover, although the profit margin of R&M division is decreasing steadily with a long-term trend...
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...Marriott’s financial strategy consistent with its growth objective? 2. How does Marriott use its estimate of its cost of capital? Does this make sense? 3. What is the weighted average cost of capital for Marriott Corporation? a. What risk free rate and risk premium did you use to calculate the cost of equity? b. How did you measure Marriott’s cost of debt? 4. If Marriott used a single corporate hurdle rate for evaluating investment opportunities in each of its lines of business, what would happen to the company over time? 5. What is the cost of capital for the lodging and restaurant divisions of Marriott? a. What risk free rate and risk premium did you use in calculating the cost of equity for each division? Why did you choose these numbers? b. How did you measure the cost of debt for each division? Should the debt cost differ across divisions? Why? c. How did you measure the beta of each division? Case Hints and Suggestions The primary objective of this case is to show students how the CAPM is used to compute the cost of capital. Students learn to calculate beta based on comparable companies and to lever betas to adjust for capital structure. Students are asked to determine the appropriate risk-less rate and market risk premium. This case also encourages students to focus on the choice of time period to estimate expected returns and the difference between the geometric and the arithmetic average as a measure of expected returns. The cost of capital for...
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...to the cost of capital, debt, and equity. We have reviewed and analyzed the industry and market data provided as well as heavily researched your industry to understand trends, risks, growth potential, etc. The attached report is a detailed summary of problems and decisions faced based on the method of calculating the cost of capital, cost of equity, and the cost of debt. We have focused our efforts to specifically outline the correct risk free rate, risk premium, hurdle rate, and beta to be used in those calculations. In addition to analysis of the problems, we have also outlined recommendations for the future. These recommendations include a 8.72% risk free rate, 7.92% risk premium, and 1.135 beta for the Marriot Corporate as a whole as well as individual risk free rate, risk premium, and beta for each division. Additional in depth analysis is provided within the report. Also included are detailed explanations for the recommendations referenced above. We look forward to witnessing your continued growth and wish you success in the future! Sincerely, Group 9 Problem Statement Marriott Corporation operates three major lines of business that include lodging, contract services, and restaurants. In order to implement the corporate financial strategy, Marriott needs to calculate and understand where each division currently stands in regards to cost of capital, cost of equity, and cost of debt. Risk free rates, risk premiums, and...
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...is to borrow both the long-term and short-term debt. Table 1.1 Payment Period Interest Rate Total Net Debt Amount to Pay for Debt/yr 1 yr 10 yrs 30 yrs 4.54% 4.66% 4.98% $80,000 $80,000 $80,000 $83,632 $10,190 $5,192 From table 1.1, we tell that 1-year debt is not a good choice, since about 33% of revenue (i.e. $83K out of $250K) will be used to clear the debt, which will dramatically increase the risk of default. The 10-year and 30-year debts are henceforth both feasible choices, but our suggestion is to choose the 10-year debt so as to reduce the cost of debt. We choose to use 4.66% as the RFR (Rf). ii. Table 2.1 Credit Rating 10-yr US Treasury Spread to Treasury Cost of Debt Consolidated E&P R&M Petrochemicals A+ A+ BBB A4.66% 4.66% 4.66% 4.66% 1.62% 1.60% 1.80% 1.35% 6.28% 6.26% 6.46% 6.01% Midland Energy resource, Inc. 2 Given that the lower the credit rating is, the riskier the business would be in terms of the danger to default. A normally larger risk premium is added on to Rf for a riskier business (refer to Eq 2.1). Debt rate = Risk-free Rate + Risk Premium E&P. The most profitable department of Midlands with dominant performance over the industry for the past five consecutive years, the E&P department is the star of the company. With continuously growing demand in the foreseeable future, the performance of this department is unlikely to default the...
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...1. Primary objective of the corporation Management has one basic, overriding goal – to create value for stockholders. Stockholders own the firm - it legally belongs to them. That ownership position gives stockholders the right to elect the directors, who then hire the executives who actually run the company. The directors, as representatives of the stockholders, determine managers’ compensation, presumably rewarding them if performance is superior or replacing them if performance is poor. Of course, there are some constraints on what management can do when working to create value for stockholders. Management can’t engage in illegal employment practices, create monopolies to exploit consumers, violate anti-pollution laws, or engage in prohibited activities. For most companies and at most times, managers do focus on shareholder value maximization, because in the long run stockholders do remove directors and managers who fail in their fiduciary duty. There are events that refocus managers’ attention on the interests of stockholders. First, stock ownership has become increasingly concentrated in the hands of institutional investors, and their holdings are so large they would depress a stock’s price if they simply dumped it. Therefore, institutional investors are now using proxy fights and takeovers to force changes in poorly performing companies. Second, the penalties for executives who violate their responsibility to shareholders have increased. Good managers...
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...Management Summary The analysis identifies both risks and benefits associated with undertaking the 7E7 project. Giving a calculated WAAC of 15.44% for the commercial division of Boeing, the project is feasible and profitable. As you will find, the financial calculations provided in this report show that the project will increase the wealth of the shareholders, also identifying the associated risks and how those could be minimized. Assuming the development costs are correctly estimated and the market response is properly gauged, the reasons to go forward with the project outweigh those against it. The market competition corroborated with the unfavorable economic conditions prompt a swift and decisive answer from Boeing. The new 7E7 will have lower operating costs due to increased cargo space and increased fuel economy due to new engine design, would also be versatile and suitable for both short and long flight routes. Ensuring the development and manufacturing costs are kept down by employing decades of engineering expertise and already proven technologies and solutions, it is recommended that Boeing undertakes the 7E7 project. Cost of Equity The 7E7 Project is a risky project. With a beta of 2.540738, which is substantially higher than the stock market average company, volatility is expected in this investment. However, with risk comes a reward. The 7E7 project would need to provide returns of 22.7009% in order to be considered a sound investment. E(Ri) = .0456+ 2...
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...Prestariang Prestariang Berhad, is an investment holding company, provides information and communications technology (ICT) training and certification courses in Malaysia. The company was founded in 2003 and is headquartered in Cyberjaya, Malaysia. Product Offers 40 courses from various technology and software vendors and organizations by providing professional ICT training and certification; and basic ICT training and certification, including third party certification and in-house certification services. Software license distribution and management business. It has strategic partnerships with Microsoft, Autodesk, CompTIA, IBM, EC-Council, ORACLE, CERTIPORT, PROMETRIC, and PEARSON VUE. Management Prestariang is founded and lead by Dr Abu Hasan Ismail. Dr Abu is a veteran in ICT education sector, obtained PHD in Information Technology at University of Sheffield. Dr Abu is no stranger to the education sector, as he himself is one of the founding members of Multimedia University in 1997. Where he lectured there under the Faculty of Creative Multimedia for three years and later became the first dean at the faculty. Besides Dr Abu, another strong management team in Prestariang is Dato' Loy Teik Ngan who serve as Independent Non-Executive Director. Dato’ Loy Teik Ngan is also the Group Chief Executive Officer for Taylor’s Education Group. The addition of Dato’ Loy into the board of director of Prestariang will no doubt enhance Prestariang’s value. DCF Method Forecasting...
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...the quantity and value generated in different countries. On the other hand, using US dollar followed a more global standard and view that made foreign investors understand better. As Brasil Investimentos conducted this valuation for a sale or restructuring purpose, it is necessary to set a global scandalized valuation in a more international currency such as USD thus comparison and analysis in global market are easier to complete. In that case, funding, financing or transactions can be easily extended to a global base. After anticipating the future cash flows, it is vital to estimate the weighted-average cost of capital(WACC) in order to calculate the present value of the cash flows. By definition, WACC is calculated based on cost of equity and cost of debt associated with their value weighted respectively. However, Lopez found it difficult and inappropriate to estimate a local discount rate due to the following reasons....
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... | | | | | | | | | |Long-term debt (bonds, at par) |$10,000,000 | | | | |Preferred stock |2,000,000 | | | | |Common stock ($10 par) |10,000,000 | | | | |Retained earnings | 4,000,000 | | | | |Total debt and equity |$26,000,000 | | | | |...
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...profitable enough. We will conduct an analysis to calculate the hurdle rate for Marriott as a whole and for each division. We will use WACC as the hurdle rate. The results of our analysis show that Marriott’s WACC as a whole is 11,61 %. For lodging, 10,04% and for restaurants 13,03%. These should be the hurdle rates to use when valuating projects. The reason that these values differ is the difference in risk premiums and expected projects, and therefore financing and project lifetimes. We estimated a shorter project lifespan for restaurants than for lodging, since we believe lodging is a long term investment while restaurants and contract services are short term investments. The Marriott Corporation uses its estimate of the cost of capital to select investment projects which would increase the shareholders value by using the appropriate hurdle rates for each division. As is stated on page 2 of the case, a key element of their financial strategy is to invest only in projects that increase shareholders value. This practice makes sense as each division has a different level of risk associated with it and hence the cash flows involved should be discounted at the respective divisional hurdle rate and not at the firm‘s weighted average cost of capital. Marriott was also considering using its estimate of cost of capital to determine the annual incentive compensation, which forms a major chunk of the total compensation. We disagree with this as managers’ performance should be the driving...
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