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This will be the present value of \$1200 when it is discounted at a rate of 10% for 2 years. The present value interest factor of annuity is a factor that can be used to calculate the present value of a series of annuities. Present value interest factors are available in table https://online-accounting.net/ form for reference. For example, assume that you purchase a house for \$100,000 and make a 20% down payment. You intend to borrow the rest of the money from the bank at 10% interest. It is important to distinguish between the future value and the present value of an annuity.

### What is the PV factor at 8%?

Example of the Present Value Factor

When the 8% interest rate is factored into the present value equation, the present value factor is 0.9259.

You can use our free, online calculator to generate a present value of \$1 table which can then be printed or saved to Excel spreadsheet. The only situation in which the present value factor does not apply is when the interest rate at which funds could otherwise be invested is zero. Present value interest factors are commonly used in analyzing annuities. Another way to interpret this problem is to say that, if you want to earn 8%, it makes no difference whether you keep \$13,420.16 today or receive \$2,000 a year for 10 years. For example, suppose that a bank lends you \$60,000 today, which is to be repaid in equal monthly installments over 30 years.

## Present Value of Unequal Cash Flows

A PVIF can only be calculated for an annuity payment if the payment is for a predetermined amount and a predetermined period of time. Present value interest factors are used to simplify a calculation of the time-value of a sum of money to be paid in the future. For example, suppose that you are considering purchasing an apartment. After much deliberation, you determine that you will receive net yearly cash flows of \$10,000 from rental revenue, less rental expenses from the apartment. This table is constructed by summing the individual present values of \$1.00 at set interest rates and periods.

The time period is essentially the time duration after which the money is to be received and can be expressed in terms of years, months, or days. To demonstrate how to calculate the present value of an annuity, assume that you are offered an investment that pays \$2,000 a year at the end of each of the next 10 years. In this case, the bank will want to know what series of monthly payments, when discounted back at the agreed-upon interest rate, is equal to the present value today of the amount of the loan. The present value of a series of payments or receipts will be less than the total of the same payment or receipts. This is because cash received in the future is not as valuable as cash received today. This is used to determine the present value of a number of future annuities. Another point is that the money received today has a less inherent risk of uncertainty.

## Distinguish between the present value factor and the annuity present value factor?

Explore the definition of and formula for the present value of an investment, and see examples. Variance Analysis Variance The present value factor analysis is a method for companies to compare its actual performance vs its budgeted amount for that cost measurement .

Instead of a future value of \$15,000, perhaps you want to find the present value of a future value of \$20,000. Then, the 1st year cash flow of \$100 is divided by 1.10 to get \$91 for the PV of the cash flow. The 0.91 is subsequently multiplied by the cash flow of \$100 to get \$91 as the PV of the 1st year cash flow. The formula for the second approach is virtually identical, except for the absence of the negative sign in front of the period number exponent.