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Part II<br />

Working with Formulas and Functions<br />

Cell B9 contains the following formula that calculates the periodic interest rate. This value is the interest<br />

rate used for each compounding period.<br />

=B5*(1/B6)<br />

The formula in cell B10 uses the FV function to calculate the value of the investment at the end of the term.<br />

The formula is<br />

=FV(B9,B6*B7,,-B4)<br />

The first argument for the FV function is the periodic interest rate, which is calculated in cell B9. The second<br />

argument represents the total number of compounding periods. The third argument (pmt) is omitted,<br />

and the fourth argument is the original investment amount (expressed as a negative value).<br />

The total interest is calculated with a simple formula in cell B11:<br />

=B10-B4<br />

Another formula, in cell B13, calculates the annual yield on the investment:<br />

=(B11/B4)/B7<br />

For example, suppose that you deposit $5,000 into a three-year CD with a 5.75 percent annual interest rate<br />

compounded quarterly. In this case, the investment has four compounding periods per year, so you enter 4<br />

into cell B6. The term is three years, so you enter 3 into cell B7. The formula in B10 returns $5,934.07.<br />

Perhaps you want to see how this rate stacks up against a competitor’s account that offers daily compounding.<br />

Figure 16.13 shows a calculation with daily compounding, using a $5,000 investment (compare this to<br />

Figure 16.12). As you can see, the difference is very small ($934.07 versus. $941.28). Over a period of<br />

three years, the account with daily compounding earns a total of $7.21 more interest. In terms of annual<br />

yield, quarterly compounding earns 6.23%, and daily compounding earns 6.28%.<br />

FIGURE 16.13<br />

Calculating interest by using daily compounding.<br />

306

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