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393%. The formula for weighted average is: Weighted Average [I1 ‫( ן‬L1 ‫ נ‬Lt)] ‫[ ם‬I2 ‫( ן‬L2 ‫ נ‬Lt)] ‫ ס‬W where: I1 ‫ ס‬interest rate, loan 1 L1 ‫ ס‬borrowed amount, loan 1 Lt ‫ ס‬total of amounts borrowed I2 ‫ ס‬interest rate, loan 2 L2 ‫ ס‬borrowed amount, loan 2 W ‫ ס‬weighted average On a spreadsheet program, enter the following values: A1 B1 C1 A2 B2 A3 B3 C3 ? 39 44 The Manager’s Pocket Calculator Calculating weighted average is not a complicated process, as long as the relative role of each loan is expressed in fractional form.

The annual interest rate has to be reduced to the periodic rate, and then the number of periods (normally months) is calculated. A visual look at this is shown in Figure 2-1. For monthly compounding, the annual rate has to be divided by a p of 12; for quarterly, p is 4. The resulting factor (which will be a decimal value less than 1) is then multiplied by the amount of deposit needed at the end of the period in order to find the value of the single deposit you need today. Example: You want to accumulate a fund of $8,000 in five years.

73 28 The Manager’s Pocket Calculator value. The sinking fund payment is a calculation of a series based on known assumptions. ’’ As you would expect, the formula for this calculation is more complex than for a single deposit. It involves figuring out compound interest over many months and based on a series of payments into a fund. Here is the formula for sinking fund payments: Sinking Fund Payments D ‫( ן‬i ‫ נ‬p) ‫[{ נ‬1 ‫( ם‬i ‫ נ‬p)]n ‫ מ‬1}) ‫ ס‬V where: D ‫ ס‬target deposit i ‫ ס‬annual interest rate p ‫ ס‬number of periods in the compounding method n ‫ ס‬periods until the deposit amount is needed V ‫ ס‬amount of periodic deposits required This formula is complex because it requires a double level of division functions.

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