(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
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
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.
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.
future value of an annuity is a reciprocal of a sinking fund
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.
39,337.20
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.
Future value interest factor 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
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.
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.
future value of an annuity is a reciprocal of a sinking fund
What is the future value of $1,200 a year for 40 years at 8 percent interest? Assume annual compounding.