How to Calculate Alpha in Excel: A Step-by-Step Guide
Alpha is a valuable measure used by finance professionals to assess the performance of an investment compared to its benchmark index. It shows the excess return generated by an asset while considering the overall market performance. A positive alpha indicates that the investment has outperformed the market, while a negative alpha signifies underperformance. In this article, we will guide you through a step-by-step process to calculate alpha in Microsoft Excel.
Before beginning, ensure you have gathered relevant data, including:
1. The investment’s historical prices or returns
2. The benchmark index’s historical prices or returns
3. The risk-free rate (typically chosen as the yield on short-term treasury bills)
Follow these steps to calculate Alpha using Microsoft Excel:
Step 1: Organize your data
In an Excel sheet, enter dates associated with each data point in column A, the historical prices or returns of your investment/portfolio in column B, and the historical prices or returns of the benchmark index in column C.
Step 2: Calculate periodic return
In column D, calculate the percentage change for both investment and benchmark index by entering:
=IF(ISNUMBER(B2), (B2 – B1) / B1, “”).
This formula calculates the percentage change and automatically skips blank cells. Drag this formula down to fill all rows accordingly in column D and E.
Step 3: Factoring in risk-free rate
Enter your chosen risk-free rate value into an empty cell (e.g., G1). In columns F and G, calculate excess return over risk-free rate for both your investment and the benchmark index by typing:
=IF(ISNUMBER(D2), D2 – $G$1, “”)
Again, drag this formula down to fill all rows.
Step 4: Regressing Investment Excess Returns on Index Excess Returns using LINEST Function
The next step involves running a regression to determine the alpha value. In an empty cell, type:
=LINEST(F2:F100, G2:G100, TRUE, FALSE)
Replace F2:F100 and G2:G100 with the range of your data. This formula uses Excel’s LINEST function to perform a linear regression analysis.
Step 5: Extracting Alpha Value
The LINEST function returns an array containing various statistical results. To extract the alpha value only, use the INDEX function by typing:
=INDEX($X$1:$Y$1,1)
Replace $(X,Y)_1$ with the coordinates of the cell containing LINEST formula result.
By following these steps, you’ve now successfully calculated the alpha value for your investment in Excel. If you have more investments to analyze, use this same method to find the alpha values for each of them. Remember that a positive alpha indicates outperformance compared to the benchmark index, while a negative alpha signals underperformance. By using these insights prudently, you can make better-informed investment decisions for your portfolio.