# 2.1 Formulas

### Learning Objectives

• Learn how to create basic formulas.
• Understand relative referencing when copying and pasting formulas.
• Work with complex formulas by controlling the order of mathematical operations.
• Understand formula auditing tools.

This section reviews the fundamental skills for entering formulas into an Excel worksheet. The objective used for this chapter is the construction of a personal cash budget. Most financial advisors recommend that all households construct and maintain a personal budget to achieve and maintain strong financial health. Organizing and maintaining a personal budget is a skill you can practice at any point in your life. Whether you are managing your expenses during college or maintaining the finances of a family of four, a personal budget can be a vital tool when making financial decisions. Excel can make managing your money a fun and rewarding exercise.

Figure 2.1 shows the completed workbook that will be demonstrated in this chapter. Notice that this workbook contains four worksheets. The first worksheet, Budget Summary, contains formulas that utilize or reference the data in the other three worksheets. As a result, the Budget Summary worksheet serves as an overview of the data that was entered and calculated in the other three worksheets of the workbook. Sheets two through four are ones we will return to later in the semester with our chapter on Financial functions.

Figure 2.1 Completed Personal Budget Workbook

# Creating a Basic Formula

Formulas are used to calculate a variety of mathematical outputs in Excel and can be used to create virtually any custom calculation required for your objective. Furthermore, when constructing a formula in Excel, you use cell locations that, when added to a formula, become cell references. This means that Excel uses, or references, the number entered into the cell location when calculating a mathematical output. As a result, when the numbers in the cell references are changed, Excel automatically produces a new output. This is what gives Excel the ability to create a variety of what-if scenarios, which will be explained later in the chapter.

To demonstrate the construction of a basic formula, we will begin working on the Budget Detail worksheet in the Personal Budget workbook, which is shown in Figure 2.2. To complete this worksheet, we will add several formulas and functions. Table 2.1 provides definitions for each of the spend categories listed in the range A3:A11. When you develop a personal budget, these categories are defined on the basis of how you spend your money. It is likely that every person could have different categories or define the same categories differently. Therefore, it is important to review the definitions in Table 2.1 to understand how we are defining these categories before proceeding.

Table 2.1 Spend Category Definitions

 Category Definition Household Utilities Money spent on electricity, heat, and water and on cable, phone, and Internet access Food Money spent on groceries, toiletries, and related items Gasoline Money spent on fuel for automobiles Clothes Money spent on clothes, shoes, and accessories Insurance Money spent on homeowner’s or automobile insurance Taxes Money spent on school and property taxes (this example of the personal budget assumes that we own property). Entertainment Money spent on entertainment, including dining out, movie and theater tickets, parties, and so on Vacation Money spent on vacations Miscellaneous Includes any other spending categories, such as textbooks, software, journals, school or work supplies, and so on

The first formula that we will add to the Budget Detail worksheet will calculate the Monthly Spend values. The formula will be constructed so that it takes the values in the Annual Spend column and divides them by 12. This will show how much money will be spent per month for each of the categories listed in Column A. The following explains how this formula is created:

1. Open the Data file named CH2 Data and use the File/Save As command to save it with the new name CH2 Personal Budget.
2. Click the Budget Detail worksheet tab to open the worksheet.
3. Click cell C3.
4. Type an equal sign =. When the first character entered into a cell location is an equal sign, it signals Excel to perform a calculation or produce a logical output.
5. Type D3. This adds D3 to the formula, which is now a cell reference. Excel will use whatever value is entered into cell D3 to produce an output.
6. Type the slash symbol /. This is the symbol for division in Excel. As shown in Table 2.2 the mathematical operators in Excel are slightly different from those found on a typical calculator.
7. Type the number 12. This divides the value in cell D3 by 12. In this formula, a number, or constant, is used instead of a cell reference because it will not change. In other words, there will always be 12 months in a year.
8. Press the ENTER key.

Table 2.2 Excel Mathematical Operators

 Symbol Operation + Addition − Subtraction / Division * Multiplication ^ Power/Exponent

### Why Use Cell References?

Cell references enable Excel to dynamically produce new outputs when one or more inputs in the referenced cells are changed. Cell references also allow you to trace how outputs are being calculated in a formula. As a result, you should never use a calculator to determine a mathematical output and type it into the cell location of a worksheet. Doing so eliminates Excel’s cell-referencing benefits as well as your ability to trace a formula to determine how outputs are being produced.

Figure 2.3 shows how the formula appears in cell C3 before you press the ENTER key. Figure 2.4 shows the output of the formula after you press the ENTER key. The Monthly Spend for Household Utilities is \$250 because the formula is taking the Annual Spend in cell D3 and dividing it by 12. If the value in cell D3 is changed, the formula automatically produces a new output. We are calculating the spend per month for each category because people often get paid and are billed for these items on a monthly basis. This formula allows you to compare your monthly income to your monthly bills to determine whether you have enough income to pay these expenses.

### Why Use Universal Constants?

If you are using constants, or numerical values, in an Excel formula, they should be universal constants that do not change, such as the number of days in a week, weeks in a year, and so on. Do not type the values that exist in cell locations into an Excel formula. This will eliminate Excel’s cell-referencing benefits, which means if the value in the cell location you are using in a formula is changed, Excel will not be able to produce a new output.

# Relative References (Copying and Pasting Formulas)

Once a formula is typed into a worksheet, it can be copied and pasted to other cell locations. For example, Figure 2.4 shows the output of the formula that was entered into cell C3. However, this calculation needs to be performed for the rest of the cell locations in Column C. Since we used the D3 cell reference in the formula, Excel automatically adjusts that cell reference when the formula is copied and pasted into the rest of the cell locations in the column. This is called relative referencing and is demonstrated as follows:

1. Click cell C3.
2. Place the mouse pointer over the Auto Fill Handle.
3. When the mouse pointer turns from a white block plus sign to a black plus sign, click and drag down to cell C11. This pastes the formula into the range C4:C11.
4. Double click cell C6. Notice that the cell reference in the formula is automatically changed to D6.
5. Press the ENTER key.

Figure 2.5 shows the outputs added to the rest of the cell locations in the Monthly Spend column. For each row, the formula takes the value in the Annual Spend column and divides it by 12. You will also see that cell D6 has been double-clicked to show the formula. Notice that Excel automatically changed the original cell reference of D3 to D6. This is the result of relative referencing, which means Excel automatically adjusts a cell reference relative to its original location when it is pasted into new cell locations. In this example, the formula was pasted into eight cell locations below the original cell location. As a result, Excel increased the row number of the original cell reference by a value of one for each row it was pasted into.

### Why Use Relative Referencing?

Relative referencing is a convenient feature in Excel. When you use cell references in a formula, Excel automatically adjusts the cell references when the formula is pasted into new cell locations. If this feature were not available, you would have to manually retype the formula when you want the same calculation applied to other cell locations in a column or row.

### Skill Refresher

Trace Dependents

1. Click a cell location that contains a number or formula.
2. Click the Formulas tab on the Ribbon.
3. Click the Trace Dependents button in the Formula Auditing group of commands.
4. Use the arrow(s) to determine where the cell is referenced in formulas and functions.
5. Click the Remove Arrows button to remove the arrows from the worksheet.

### Skill Refresher

Trace Precedents

1. Click a cell location that contains a formula or function.
2. Click the Formulas tab on the Ribbon.
3. Click the Trace Precedents button in the Formula Auditing group of commands.
4. Use the dot(s) along the line to determine what cells are referenced in the formula or function.
5. Click the Remove Arrows button to remove the line with the dots.

### Key Takeaways

• Mathematical computations are conducted through formulas and functions.
• An equal sign = precedes all formulas and functions.
• Formulas and functions must be created with cell references to conduct what-if scenarios where mathematical outputs are recalculated when one or more inputs are changed.
• Mathematical operators on a typical calculator are different from those used in Excel. Table 2.2 “Excel Mathematical Operators” lists Excel mathematical operators.
• When using numerical values in formulas and functions, only use universal constants that do not change, such as days in a week, months in a year, and so on.
• Relative referencing automatically adjusts the cell references in formulas and functions when they are pasted into new locations on a worksheet. This eliminates the need to retype formulas and functions when they are needed in multiple rows or columns on a worksheet.
• Parentheses must be used to control the order of operations when necessary for complex formulas.
• Formula auditing tools such as Trace Dependents, Trace Precedents, and Show Formulas should be used to check the integrity of formulas that have been entered into a worksheet.