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
At the end of the second period
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?
138645
Depends on the daily percentage rate.
The PV of a 30 year 800 per year annuity is 6,444 if the payment is received at the end of the year and 7,217 is the payment is received at the start of the year
39,337.20
ordinary annuity
400000
At the end of the second period
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
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 due is an annuity where the payments are made at the beginning of each time period; for an ordinary annuity, payments are made at the end of the time period. *an annuity due of (n) periods is equal to an ordinary annuity of (n-1) periods plus the payment.
Yes, you do earn a higher interest rate with a variable annuity than with a fixed annuity. It depends on what kind of interest rate you have at the moment.