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Sinking Fund Factor

by James Kobzeff

The sinking fund factor provides the annuity payment that must be made each conversion period at a given rate of compound interest to have available a specified sum at some given future time period.

This calculation for a sinking fund is used to make real estate investment decisions such as how much money must be placed on reserve to have a specified sum at a given future time period to take care of scheduled capital expenditures or other expenses.

In other words, when a real estate investor wants to start setting aside money so he or she has enough available at some future date to replace, let's say, for a roof on an apartment complex he or she owns, the investor would create a sinking fund.

The formula:

P = 1 / Sn

Where:
P = Cash flow payments of equal size at equal intervals
Sn = Future value of a series of annuity cash flows

Example: A real estate investor needs $10,000 in 5 years to replace refrigerators in an apartment complex that he or she owns. If the investor starts an ordinary annuity fund (payments made at the end of each year) that yields 15% per year, the investor would use the sinking fund factor to calculate what each annual payment would have to be to accumulate the $10,000.

A sinking fund is a prudent way for real estate investors to plan for future capital expenditures. The idea is straightforward: start depositing money into an account with compound interest at regular intervals so the amount you require is there when you need it.

So You Know

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