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E(R)=Rf+B*(Rm-Rf) Rm(market return)=(E(R)-Rf+B*Rf)/B=(.16-.09+1.1*.09)/1.1=.1536 The answer is 15.36% (NN)
I'm going to assume that you mean the risk free rate is 4%, or 0.04, and the market rate of return is 14%, or .14. If that is the case, then we solve: Market Rate of Return = (Risk Free Rate) + Beta * (Market Risk Premium) 0.14 = 0.04 + 1.2 * MRP 0.1 = 1.2 * MRP 0.1 / 1.2 = MRP 0.08333... = MRP The Market Risk Premium would be approximately 8.33% This is an example of the Capital Asset Pricing Model, or CAPM.
The correlation between an asset's real rate of return and its risk (as measured by its standard deviation) is usually:
Risk is necessary in the investment world. The absolute measure of risk is the standard deviation which is a statistical measure of dispersion. The distribution curve shows how much an asset can deviate from its expected outcome.
asset identification
This should be correct in a perfect market. Not true usually as assets are often mis priced. Expected return is the return/discount that market is using to get the value of the asset while required return is the discount / return that gets you the true intrinsic value of an asset
In the world of finance: BETA is a measure of the volatility, or systematic risk, of a security or a portfolio in comparison to the market as a whole. Beta is used in the capital asset pricing model (CAPM), a model that calculates the expected return of an asset based on its beta and expected market returns.
expected rate of return
.5
CAPM equation E(Rj) = rf + b[E(Rm) - rf] 0.14 = rf + 1.5(0.12-rf) 0.14 = rf + 0.18 - 1.5rf -0.04 = rf - 1.5rf -0.04 = (1-1.5)rf -0.04 = -0.5rf rf = 0.08 rf = 8%
From Investopedia.com: The capital market line (CML) is a line used in the capital asset pricing model to illustrate the rates of return for efficient portfolios depending on the risk-free rate of return and the level of risk (standard deviation) for a particular portfolio. The CML is derived by drawing a tangent line from the intercept point on the efficient frontier to the point where the expected return equals the risk-free rate of return. The CML is considered to be superior to the efficient frontier since it takes into account the inclusion of a risk-free asset in the portfolio. The capital asset pricing model (CAPM) demonstrates that the market portfolio is essentially the efficient frontier. This is achieved visually through the security market line (SML). The security market line is a line that graphs the systematic, or market, risk versus return of the whole market at a certain time and shows all risky marketable securities. The SML essentially graphs the results from the capital asset pricing model (CAPM) formula. The x-axis represents the risk (beta), and the y-axis represents the expected return. The market risk premium is determined from the slope of the SML. The security market line is a useful tool in determining whether an asset being considered for a portfolio offers a reasonable expected return for risk. Individual securities are plotted on the SML graph. If the security's risk versus expected return is plotted above the SML, it is undervalued because the investor can expect a greater return for the inherent risk. A security plotted below the SML is overvalued because the investor would be accepting less return for the amount of risk assumed.
Return on asset = 1275 * 12% Return on asset = 153
the security market line
CML a special case of SML. While CML represents Return potential and risk involved in all financial asset across the Capital market, SML is the linear relationship between the expected return of security and its systematic risk, the expected return comparing a risk-free return plus a risk premium.
the security market line
The CAPM is a model for pricing an individual security (asset) or a portfolio. For individual security perspective, we made use of the security market line (SML) and its relation to expected return and systematic risk (beta) to show how the market must price individual securities in relation to their security risk class. The SML enables us to calculate the reward-to-risk ratio for any security in relation to that of the overall market. Therefore, when the expected rate of return for any security is deflated by its beta coefficient, the reward-to-risk ratio for any individual security in the market is equal to the market reward-to-risk ratio
ROA = Net Profit Margin * Asset Turnover Asset Turnover = ROA/Profit Margin = 13.5/5 = 2.7%