Present Values and Future Values of Investments
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Effective Annual Rate of Interest (EAR)

[vsw id=”qk19_k31K-4″ source=”youtube” width=”611″ height=”344″ autoplay=”no”] The effective annual rate of interest (EAR) refers to the rate of return earned by an investor in a year, taking the effects of compounding into account. Remember, compounding is the process by which…

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Present and Future Values

Future Values The Future Value (FV) of a Single Sum of Cash Flow The Future Value (FV) of a single sum of money is the future amount of money invested today at a given interest rate (r) for a specified…

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Portfolio of Risk-free and Risky Assets

By combining a portfolio of risky assets with a risk-free asset, we can improve the return-risk characteristics of the portfolio and realize a better trade-off. This combination is called the capital allocation line (CAL). The proportion of allocation to risky…

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Capital Allocation Line (CAL) and Capital Market Line (CML)

We form a capital allocation line when we combine a risky asset portfolio with a risk-free asset. This represents the allocation between risk-free and risky assets based on investor risk preferences. The capital market line is a special case of…

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Systematic and Non-systematic Risks

Systematic risk is inherent in the overall market and cannot be avoided. Non-systematic risk is limited to a particular asset class or security and can be avoided through appropriate portfolio diversification. Systematic Risk When you invest in a market, you face…

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Return Generating Models

A return-generating model can provide investors with an estimate of the return of a particular security given certain input parameters. The most general form of a return-generating model is a multi-factor model. In its simplest form, the multi-factor model is…

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Beta Explained

Beta is a measure of systematic risk. Statistically, it depends on the degree of correlation between a security and the market. Calculating Beta We begin with the single index model using realized returns constructed as follows: $$ R_i – R_f…

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Capital Asset Pricing Model (CAPM)

The Capital Asset Pricing Model (CAPM) provides a linear relationship between the expected return for an asset and the beta. The Security Market Line (SML) represents CAPM on a graph. As opposed to the Capital Market Line (CML), where the…

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Calculating Returns Using CAPM

Given as asset systematic risk, the expected return can be computed using the capital asset pricing model. The CAPM result is usually used as a first estimate of return. In addition, it is used in capital budgeting and the determination…

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