39,337.20
ordinary annuity
ordinary annuity we paid at the end of the period annuity due we paid at the begging of the period
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.
No. The interest on a deferred annuity is tax-DEFERRED. That is, it is not taxed until it is distributed, at which point it will be taxed as Ordinary Income. (NO annuity EVER received Capital Gains treatment under current law).
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.
An annuity where the payment interval differs from the interest compounding period is called a "variable annuity" or more specifically, it can be referred to as an "annuity with unequal payment periods." In this type of annuity, the payments may be made annually, semi-annually, or quarterly, while the interest may be compounded at a different frequency. This discrepancy can affect the total return and the effective interest rate of the annuity.
ordinary annuity
400000
At the end of the second period
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.
A = Present ValueR = Amount of Ordinary Annuityj = %t = termm = periods (annually/ semi-annually/ quarterly)i = j/mn = tmA = R {[1-(1+i)-n] /i}Formula of present valueIf I have the decision to take 1,000,000 in a lump sum or 80,000 ordinary annunity for the next 30 years at 8% interest rate, which of the two opitions should I take and why?
ordinary annuity we paid at the end of the period annuity due we paid at the begging of the period
ordinary annuity we paid at the end of the period annuity due we paid at the begging of the period
COMPOUND INTEREST FORMULA A = P(1 + r/n)^(nt) A = amount of money accumulated after n years, at r interest rate = to be determined P = principal; initial amount = $12,000 n = number of times the interest is compounded per year = 1 r = annual rate of interest, as a decimal = 9% = 0.09 t = time; number of years = 3 A = $12,000(1 + 0.09/1)^(1 x 3) A = $12,000(1 + 0.09)^3 A = $12,000(1.09)^3 A = $12,000(1.295029) A = $15,540.35 ANSWER
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.
No. The interest on a deferred annuity is tax-DEFERRED. That is, it is not taxed until it is distributed, at which point it will be taxed as Ordinary Income. (NO annuity EVER received Capital Gains treatment under current law).
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.