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What is the future value of a 900 annuity payment over five years if interest rates are 9 percent?
To calculate the future value of a $900 annuity payment over five years at an interest rate of 9 percent, you can use the future value of an annuity formula: FV = P * [(1 + r)^n - 1] / r, where P is the payment amount, r is the interest rate, and n is the number of periods. Plugging in the values: FV = 900 * [(1 + 0.09)^5 - 1] / 0.09. This results in a future value of approximately $5,162.80.
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The factor for the future value of an annuity due is found by multiplying the ordinary annuity table value by one minus the interest rate?
The statement regarding the factor for the future value of an annuity due is incorrect. The correct method for calculating the future value of an annuity due involves taking the future value factor from the ordinary annuity table and multiplying it by (1 + interest rate). This adjustment accounts for the fact that payments in an annuity due are made at the beginning of each period, leading to additional interest accumulation compared to an ordinary annuity.
Determine the future value of an annuity into which quarterly deposits of 450 are made for 9 years if the annuity pays 10 percent compounded quarterly?
138645
How is present value of a single sum related to present value of a annuity?
The present value of a single sum refers to the current worth of a specific amount of money to be received in the future, discounted at a particular interest rate. In contrast, the present value of an annuity represents the current worth of a series of equal payments made at regular intervals in the future, also discounted at a specific rate. Both concepts rely on the time value of money, but while a single sum focuses on one future payment, an annuity accounts for multiple payments over time. The present value of an annuity can be viewed as the sum of the present values of multiple single sums received at each payment interval.
What would happen to the future value of an annuity if interest rates fell in later period's?
Your annuity will decrease in value as your interest earned would decrease, which would just continue to snowball because that would make your principal value less even further down the road, causing your annuity to devalue even more.
What is the future value of 1200 a year for 40 years at 8 percent interest?
What is the future value of $1,200 a year for 40 years at 8 percent interest? Assume annual compounding.
What is the formula for solving for the interest rate (r) of an annuity?
The formula for solving for the interest rate (r) of an annuity is: r left( fracAP right)frac1n - 1 Where: r interest rate A future value of the annuity P periodic payment n number of periods
What is the difference between ordinary annuity and annuity due?
In an ordinary annuity, the payments are fed into the investment at the END of the year. In an annuity due, the payments are made at the BEGINNING of the year. Therefore, with an annuity due, each annuity payment accumulates an extra year of interest. This means that the future value of an annuity due is always greater than the future value of an ordinary annuity.When computing present value, each payment in an annuity due is discounted for one less year (because one of the payments is not made in the future- it is made at the beginning of this year and is already in terms of present dollars). This will result in a larger present value for an annuity due than for an ordinary annuity, as well.
What is the future value of a 5-year ordinary annuity?
The future value of a 5-year ordinary annuity can be calculated using the formula: ( FV = P \times \frac{(1 + r)^n - 1}{r} ), where ( P ) is the payment per period, ( r ) is the interest rate per period, and ( n ) is the number of periods. This formula accounts for the compounding interest on each payment made at the end of each period. To find the specific future value, you would need to know the payment amount and the interest rate.
Differentiate between ordinary annuity and annuity due?
In an ordinary annuity, the annuity payments are fed into the investment at the END of the year. In an annuity due, the payments are made at the BEGINNING of the year. Therefore, with an annuity due, each annuity payment accumulates an extra year of interest. This means that the future value of an annuity due is always greater than the future value of an ordinary annuity.When computing present value, each payment in an annuity due is discounted for one less year (because one of the payments is not made in the future- it is made at the beginning of this year and is already in terms of present dollars). This will result in a larger present value for an annuity due than for an ordinary annuity, as well.
What is the future value on an ordinary annuity of 12000 dollars per year for three years at 9 percent interest compounded annually?
39,337.20
The factor for the future value of an annuity due is found by multiplying the ordinary annuity table value by one minus the interest rate?
The statement regarding the factor for the future value of an annuity due is incorrect. The correct method for calculating the future value of an annuity due involves taking the future value factor from the ordinary annuity table and multiplying it by (1 + interest rate). This adjustment accounts for the fact that payments in an annuity due are made at the beginning of each period, leading to additional interest accumulation compared to an ordinary annuity.
What is FVIFA useful for?
Future value interest factor annuity
What is the formula of general annuity?
The formula for the present value of a general annuity is given by: [ PV = P \times \frac{1 - (1 + r)^{-n}}{r} ] where ( PV ) is the present value of the annuity, ( P ) is the payment amount per period, ( r ) is the interest rate per period, and ( n ) is the total number of payments. For the future value of an annuity, the formula is: [ FV = P \times \frac{(1 + r)^n - 1}{r} ] where ( FV ) is the future value of the annuity.
When do you use fvif and fvifa?
An Annuity is a series of payments of a fixed amount for a specified number of equal length periods When the FV of an annuity is known, and you need to calculate the value of each payment, or the FVIFA, then: FVIFA = Future Value Interest Factor Annuity FVIFA = ((1 + r)t -1)/r FVA = Future Value of an Annuity FVA = PMT x (FVIFA r, t) * where: PMT = Regular payments r = discount rate - (interest rate of your choosing) t = number of periods (time) of annuity - (number of years for example) When the PV of an annuity is already known, and you need to calculate the value of each payment, or the PVIFA, then: PVIFA = Present Value Interest Factor Annuity PVIFA = ((1/r) - 1/r(1+r)t ) PVA = Present Value of an Annuity PVA = PMT x (PVIFA r, t) * where: PMT = Regular payments r = discount rate - (interest rate of your choosing) t = number of periods (time) of annuity - (number of years for example)
What is the future value of a 5-year annuity due that promises to pay you 300 each year The interest rate is 7 percent?
(F/A,i,n); F=?, A=300, i=7%, n=5F={A[(1+i)n -1]}/ iF={300[(1+0.07)5-1]}/0.07F=1725.2where F- future valueA-Annuityi-interestn-period of payment
Determine the future value of an annuity into which quarterly deposits of 450 are made for 9 years if the annuity pays 10 percent compounded quarterly?
138645
Is an annuity worth more or less than a lump sum payment received now that would be equal to the sum of all the future annuity payments?
An annuity is typically worth less than a lump sum payment when considering the time value of money. This concept states that a dollar today is worth more than a dollar in the future due to its potential earning capacity. Therefore, the total present value of future annuity payments, when discounted back to the present, is usually lower than a lump sum payment received now.
