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Initial Return is the product of a collaboration between finance professionals, academics, and investors. We produce high-quality, educational content for investors, traders, and finance students.
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How to calculate Jensen’s alpha in Excel
The purpose of this tutorial is to teach you to calculate Jensen’s alpha in Excel. We’ll estimate the Jensen’s alpha on Amazon (AMZN) shares using the S&P500 as the market benchmark and the 13-week T-bill as the proxy of risk-free asset. Our analysis will be based on five years of monthly data (i.e., 60 observations…
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How to calculate portfolio risk and return in Excel
In this tutorial, we’ll teach you how to calculate portfolio risk and return in Excel. We’ll focus on an example where we construct a portfolio of the following three stocks: Tesla (TSLA), Amazon (AMZN), and Netflix (NFLX). We offer the tutorial in a video format as well (see the contents box below). If you’re unfamiliar…
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Ambiguity aversion
Many of us might have heard about “risk aversion“, which is a general dislike for risk. But, what is “ambiguity aversion”? To address this question, we need to first distinguish between “risky events” and “ambiguous events”. Let’s do that through a practical example. Imagine a simple coin toss game where you win $1 if the…
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Psychology of trading
The psychology of trading encompasses the emotional states and moods that traders go through during their trading activities. Emotional trading can have an adverse impact on a trader’s performance, leading to mental issues as well as financial loss. Therefore, all traders should have at least a basic understanding of how emotions influence trading activity. We’ve…
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Limit order book
In a market setting, a limit order book for a particular security (e.g., a stock) is the collection of limit orders (both buy and sell) submitted by traders who are interested in trading that security. What does a limit order book look like? Figure 1 illustrates what a typical limit order book looks like. We…
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Capital allocation line
When a risk-free asset exists in an economy, investors can add that asset to their portfolios if they wish so. In the risk-return space, the combination of the risk-free asset and any risky asset is a straight line. This line is called the capital allocation line as it shows how an investor’s capital is allocated…
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How to calculate beta in Excel
In this tutorial, we’ll show you how to calculate beta in Excel. First, we explain the data you need before getting started. Then, we offer four different ways of computing betas in Excel (the first one is the fastest if you’re in a rush!). If you prefer a video tutorial, that is provided at the…
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Security market line
The security market line depicts the linear relationship between expected return and systematic risk, which is measured by beta, according to the capital asset pricing model (CAPM). Specifically, the equation of the security market line is nothing but the CAPM formula: where E[Ri] is the expected return on asset i, E[Rm] is the expected return…
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Market portfolio
We have so far learned how to calculate the risk and return of portfolios and how to trace an efficient frontier through mean-variance optimization. It is now time to introduce a special portfolio that will play a significant role when we discuss the CAPM: The market portfolio. What is the market portfolio? The market portfolio is the…
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CAPM calculator, equation, assumptions
The capital asset pricing model (or CAPM) is among the most widely-used asset pricing models by stock analysts and portfolio managers. Its popularity arises from its simplicity and elegance. Analysts can use it to forecast returns or to estimate the cost of equity. In this post, we offer a CAPM calculator and discuss the model…
Step-by-step tutorials:
Downloading stock price data
Plotting stock prices and returns
Creating a histogram of stock returns
Descriptive statistics for stock returns
Computing the correlation between two stocks
Calculating a stock’s beta
Modern portfolio theory:
Portfolio return
Portfolio risk
Efficient frontier
Optimal risky portfolio
Market equilibrium:
Capital asset pricing model (CAPM)
Arbitrage pricing theory (APT)
