What is the eight year present value annuity factor at a discount rate of 11 percent

What is a Present Value of an Ordinary Annuity Table?

An annuity is a series of payments that occur at the same intervals and in the same amounts. An example of an annuity is a series of payments from the buyer of an asset to the seller, where the buyer promises to make a series of regular payments. For example, ABC Imports buys a warehouse from Delaney Real Estate for $500,000 and promises to pay for the warehouse with five payments of $100,000, to be paid at intervals of one payment per year; this is an annuity.

You might want to calculate the present value of the annuity, to see how much it is worth today. This is done by using an interest rate to discount the amount of the annuity. The interest rate can be based on the current amount being obtained through other investments, the corporate cost of capital, or some other measure.

An annuity table represents a method for determining the present value of an annuity. The annuity table contains a factor specific to the number of payments over which you expect to receive a series of equal payments and at a certain discount rate. When you multiply this factor by one of the payments, you arrive at the present value of the stream of payments. Thus, if you expect to receive 5 payments of $10,000 each and use a discount rate of 8%, then the factor would be 3.9927 (as noted in the table below in the intersection of the "8%" column and the "n" row of "5". You would then multiply the 3.9927 factor by $10,000 to arrive at a present value of the annuity of $39,927.

Rate Table For the Present Value of an Ordinary Annuity of 1

The preceding annuity table is useful as a quick reference, but only provides values for discrete time periods and interest rates that may not exactly correspond to a real-world scenario. Accordingly, use the annuity formula in an electronic spreadsheet to more precisely calculate the correct amount. The formula for calculating the present value of an ordinary annuity is:

An annuity is a series of payments that occur over time at the same intervals and in the same amounts. An annuity due arises when each payment is due at the beginning of a period; it is an ordinary annuity when the payment is due at the end of a period. A common example of an annuity due is a rent payment that is scheduled to be paid at the beginning of a rental period.

An example of an annuity is a series of payments from the buyer of an asset to the seller, where the buyer promises to make a series of regular payments. Thus, ABC Clothiers buys a warehouse from Dover Real Estate for $800,000, and promises to pay for the warehouse with eight payments of $100,000, to be paid at intervals of one payment per year; these payments are an annuity.

You might want to calculate the present value of an annuity, to see how much it is worth today. This is done by using an interest rate to discount the amount of the annuity. The interest rate can be based on the current amount you are obtaining through other investments, the corporate cost of capital, or some other measure.

An annuity table represents a method for determining the present value of an annuity. The annuity table contains a factor specific to the number of payments over which you expect to receive a series of equal payments and at a certain discount rate. When you multiply this factor by one of the payments, you arrive at the present value of the stream of payments. Thus, if you expect to receive 5 payments of $10,000 each and use a discount rate of 8%, then the factor would be 4.3121 (as noted in the table below in the intersection of the "8%" column and the "n" row of "5". You would then multiply the 4.3121 factor by $10,000 to arrive at a present value of the annuity of $43,121.

Rate Table For the Present Value of an Annuity Due of 1

The preceding annuity table is useful as a quick reference, but only provides values for discrete time periods and interest rates that may not exactly correspond to a real-world scenario. Accordingly, use the annuity formula in an electronic spreadsheet to more precisely calculate the correct amount of the present value of an annuity due.

This annuity calculator computes the present value of a series of equal...show more instructions

What Is The Present Value Of An Annuity?

Which would you prefer: $10,000 today or $10,000 received in annual $1,000 installments over the course of 10 years? Instinctively, you probably would choose to receive money right now rather than later.

And yes, you should choose to receive money right now – but for more reasons than “I just couldn't wait.”

That's because $10,000 today is worth more than $10,000 received over the course of time. In other words, the purchasing power of your money decreases in the future.

The Present Value of Annuity Calculator applies a time value of money formula used for measuring the current value of a stream of equal payments at the end of future periods. This is also called discounting.

The present value of a future cash-flow represents the amount of money today, which, if invested at a particular interest rate, will grow to the amount of the sum of the future cash flows at that time in the future.

Related: 5 Financial Planning Mistakes That Cost You Big-Time (and what to do instead!) Explained in 5 Free Video Lessons

What is the eight year present value annuity factor at a discount rate of 11 percent

Present Value Of Annuity Calculation

Below you will find a common present value of annuity calculation. Studying this formula can help you understand how the present value of annuity works. For example, you'll find that the higher the interest rate, the lower the present value because the greater the discounting.

What is the eight year present value annuity factor at a discount rate of 11 percent

C = Cash flow per period (payment amount)

i = Interest rate

n = Number of payments (in this calculator, derived from the payment interval and number of years)

When Is The Present Value Of Annuity Calculator Used?

The most common uses for the Present Value of Annuity Calculator include calculating the cash value of a court settlement, retirement funding needs, or loan payments.

For example, a court settlement might entitle the recipient to $2,000 per month for 30 years, but the receiving party may be uncomfortable getting paid over time and request a cash settlement. The equivalent value would then be determined by using the present value of annuity formula. The result will be a present value cash settlement that will be less than the sum total of all the future payments because of discounting (time value of money).

Real estate investors also use the Present Value of Annuity Calculator when buying and selling mortgages. The mortgage represents a future payment stream combining interest and principal that can be discounted back to a present cash value to allow the investor to know how much that mortgage is worth on a mathematical basis. This shows the investor whether the price he is paying is above or below expected value.

Present value calculations can be complicated to model in spreadsheets because they involve the compounding of interest, which means the interest on your money earns interest. Fortunately, our present value annuity calculator solves these problems for you by converting all the math headaches into point and click simplicity. I hope it helps you make smarter financial decisions.

Present Value Of Annuity Calculator Terms & Definitions

  • Annuity – A fixed sum of money paid to someone – typically each year – and usually for the rest of their life.
  • Payment/Withdrawal Amount – This is the total of all payments received (annuity) or made (loan) receives on the annuity. This is a stream of payments that occur in the future, stated in terms of nominal, or today's, dollars.
  • Annual Interest Rate (%) – This is the interest rate earned on the annuity. The present value annuity calculator will use the interest rate to discount the payment stream to its present value.
  • Number Of Years To Calculate Present Value – This is the number of years over which the annuity is expected to be paid or received.
  • Payment/Withdrawal Frequency – The payment/deposit frequency you want the present value annuity calculator to use for the present value calculations. The interval can be monthly, quarterly, semi-annually or annually.
  • Present Value Of An Annuity – Based on your inputs, this is the present value of the annuity you entered information for. The present value of any future value lump sum and future cash flows (payments).
  • Ultimate Retirement Calculator: It's called the ultimate retirement calculator because it does everything the others do and a whole lot more.
  • Retirement Withdrawal Calculator: How much can I afford to withdraw each month given the retirement savings I have accumulated – both before and after inflation?
  • Simple Retirement Savings Calculator: How long will it take me to reach my retirement savings goal given my current savings balance and my monthly deposits? Solves for time.
  • Retirement Investment Calculator: How much investment should I make each month to reach my desired retirement savings goal given my current savings balance and expected retirement date? Solves for amount to invest.
  • Millionaire Calculator – How To Retire A Millionaire: So you wanna be a millionaire? This fun calculator will tell you when it will happen and what a million dollars will be worth by then after adjusting for inflation.
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What is the present value of a 3 year annuity of $100 if the discount rate is 6 %?

Applying the formula, the present value of the annuity is: 100(1−(1+6%)−3)6%=267.30.

What is the present value of the simple annuity of ₱ 5000.00 payable semi annually for 10 years if money is worth 6% compounded semi annually?

Find the present value and the amount (future value) of an ordinary annuity of P5,000 payable semi-annually for 10 years if money is worth 6% compounded semi-annually. 1. Answer: P = P74,387.37, F = P134,351.87 2.

How is annuity discounting factor calculated?

Discount Factor = 1 / (1 + Discount Rate) ^ Period Number To arrive at the present value using the first approach, the factor would then be multiplied by the cash flow to get the present value (“PV”).

What is the 2 year annuity factor if the required rate of return is 10%?

If the required rate of return is 10%, then the 2-year annuity factor can be calculated as 1.7355.