(F/A,i,n); F=?, A=300, i=7%, n=5
F={A[(1+i)n -1]}/ i
F={300[(1+0.07)5-1]}/0.07
F=1725.2
where F- future value
A-Annuity
i-interest
n-period of payment
39,337.20
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.
future value of an annuity is a reciprocal of a sinking fund
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.
Fv = $200(fvifa15%,5) = $200(6.7424) = $1,348.48.
39,337.20
Future value interest factor annuity
138645
decreases towards the future value faster
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.
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 $1,200 a year for 40 years at 8 percent interest? Assume annual compounding.
future value of an annuity is a reciprocal of a sinking fund
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.
It increases
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)
true