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What is the future value of ordinary annuity?

Future value is the value of a sum of cash to be paid on a specific date in the future. Therefore, the formula for the future value of an ordinary annuity refers to the value on a specific future date of a series of periodic payments, where each payment is made at the end of a period.

What is the future value of an annuity?

The future value of an annuity is the value of a group of recurring payments at a certain date in the future, assuming a particular rate of return, or discount rate. The higher the discount rate, the greater the annuity’s future value.

What is the formula for future value of an ordinary annuity?

The formula for the future value of an ordinary annuity is F = P * ([1 + I]^N – 1 )/I, where P is the payment amount. I is equal to the interest (discount) rate. N is the number of payments (the “^” means N is an exponent). F is the future value of the annuity.

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What is the present value of an ordinary annuity?

What Is Present Value of an Annuity? The present value of an annuity is the current value of future payments from an annuity, given a specified rate of return, or discount rate. The higher the discount rate, the lower the present value of the annuity.

What is ordinary annuity?

An ordinary annuity is a series of equal payments made at the end of consecutive periods over a fixed length of time. The opposite of an ordinary annuity is an annuity due, in which payments are made at the beginning of each period.

What is the future value of a 5 year ordinary annuity?

A 5-year ordinary annuity has a future value of $1,000. If the interest rate is 8 percent, the amount of each annuity payment is closest to which of the following? 4. An 8-year annuity due has a future value of $1,000.

How do you find the future value?

The future value formula

  1. future value = present value x (1+ interest rate)n Condensed into math lingo, the formula looks like this:
  2. FV=PV(1+i)n In this formula, the superscript n refers to the number of interest-compounding periods that will occur during the time period you’re calculating for.
  3. FV = $1,000 x (1 + 0.1)5

How do you find the future value of an annuity due?

Once (1+r) is factored out of future value of annuity due cash flows, it becomes equal to the cash flows from an ordinary annuity. Therefore, the future value of an annuity due can be calculated by multiplying the future value of an ordinary annuity by (1+r), which is the formula shown at the top of the page.

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How do you calculate future value example?

Future value is what a sum of money invested today will become over time, at a rate of interest. For example, if you invest $1,000 in a savings account today at a 2% annual interest rate, it will be worth $1,020 at the end of one year. Therefore, its future value is $1,020.

What’s the present value of a 4 year ordinary annuity of $2 250?

Correct Answer: Option E. $10,446.

How much is an annuity worth?

An annuity will distribute a guaranteed income between $4,167 and $12,110 per month for a single lifetime and between $3,750 and $11,149 per month for a joint lifetime (you and spouse). Income amounts are factored by the age you purchase the annuity contract and the length of time before taking the income.

What is the future value of an $900 annuity payment over five years if interest rates are 8 percent?

What is the future value of a $900 annuity payment over five years if interest rates are 8 percent? Therefore, the future value is $5279.94.

How do you calculate the future value of an annuity compounded monthly?

The future value of an annuity is simply the sum of the future value of each payment. The equation for the future value of an annuity due is the sum of the geometric sequence: FVAD = A(1 + r)1 + A(1 + r)2 + + A(1 + r)n.

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