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Compound Interest Excel

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Compound Interest
A Three Methods Approach

Procedure: Using the template you have downloaded and the prototype figure below, construct a compound interest spreadsheet using three different methods (iteration (steps), formula, and Excel function) that will arrive at the very same balance if properly done. Be sure to type in the Givens box the same principal, compound, and APR as the prototype figure. From Quarter #1 (row 8) and thereafter, you will be building formulas that are flexible enough to accommodate other values you type into the Givens box later.

Iteration (Steps) Method (I)
1. Link by a cell reference, the total cell of Quarter #0 (cell E7) to the given principal value in cell D2.
2. Now let principal from Quarter #1 (cell C8) be referenced to cell E7.
3. For the interest in Quarter #1 (cell D8), create a formula by multiplying the principal (cell C8) by the given APR (cell D4) divided by the given Compounds (cell D3). Note: because you will want to always use the same given APR and compound values even after you copy or fill the formulas down the columns, you must use absolute cell referencing for those cell locations (locking them in). This can be done by pressing F4 (for Windows) or Command-T (for Macintosh) while the cursor is in the middle or at the end of cell references D4 and D3.
4. Now add the interest to the principal (that is, compound the interest) to make a new total (cell E8). This is done by adding cell C8 to cell D8 as a formula (that is, "=C8+D8").
5. Complete the Iteration Method by dragging over the principal, interest, and total cells from Quarter #1 and filling their corresponding formulas down to Quarter #36. This can be done relatively fast by looking for the small black cross hair in the bottom right corner of your shaded rectangle and either dragging the three cells down or simply double- clicking. See your software documentation or instructor for help. Don't forget to check for accuracy.

Formula Method (II)
1. In the Formula box at the bottom of your template, follow the directions for the compound interest formula as shown in the prototype.
2. Confirm that your answer matches the same one found for Quarter #18 using iterations.

Excel Function Method (III)
1. In the Excel Function box at the bottom of your template, follow the directions for the formula as shown in the prototype. The focus here is to learn how to use the built-in function known as future value (FV) for Excel. You can find helpful dialog boxes to guide you through this process by looking for the "Insert" ribbon in the newer Office suite for Windows or by using the "Insert" pull-down menu and finding the feature "Function..." in the Macintosh Office suite.
2. You will notice that the template and prototype indicate cell references in the future value function rather than actual values. This reinforces the idea of keeping your formula generalized to accommodate future changes to the Givens box.
3. Be aware of the need to place a negative sign after the equality to keep the future value as a positive value.

Polishing the Worksheet
1. Be sure to total your interest after Quarter #36 (D44) by using the function 'Sum' and dragging over the interest cells from Quarter #1 to Quarter #36 or take advantage of the Auto Sum tool that looks like Λ and may be on one of your tool bars at the top.
2. Check to see if the very last balance (Quarter #36) matches the prototype quantity.

Results Summary: Upon verifying that your compound interest spreadsheet (based on the prototype givens) has correct quantities throughout, modify your spreadsheet according to the sign-up sheet values you were given. Then answer the 5 reflection questions in the textboxes on the spreadsheet.

Reflection 1: What would be another way to calculate total interest rather than just adding up the individual interest amounts?

Reflection 2: What percentage of the balance (end of Quarter #36) is the interest and what percentage is the principal? Do these percentages change if you modify the principal or APR? How?

Reflection 3: What are some of the pros and cons to each of the three methods you have used?

Reflection 4: Which of the three methods is your favorite way to calculate the balance and why?

Reflection 5: What impressions or insights have you gained from this exercise?

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Solution Summary

The Excel file contains all formulas, solutions and explanations. The input values in the Givens cells can be changed to match the required inputs.

Solution Preview

Reflection 1: What would be another way to calculate total interest rather than just adding up the individual interest amounts?

Another way to calculate total interest is to use the compound interest formula to get the ending balance, then subtract the principle from the ending balance.

For example, to calculate the interest earned by the 36th quarter, we could do the following:
1500 * (1+ 0.075/4)^36 - 1500 = 1427.69

Reflection 2: What percentage of the balance (end of Quarter #36) is the interest and what percentage is ...

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  • MSc, California State Polytechnic University, Pomona
  • MBA, University of California, Riverside
  • BSc, California State Polytechnic University, Pomona
  • BSc, California State Polytechnic University, Pomona
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