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The simplest way is to gross up the ordinary annuity (payments in arrears) by a single period at the discounting rate. For example, if the ordinary annuity has semi-annual payments (half yearly) and the PV is $1000 using a discounting rate of 5% p.a., then the PV of the annuity due would be: PVDue= $1,000 x ( 1 + 5%/2 ) = $1,025
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.
Increasing the interest rate
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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?
decreases towards the future value faster
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Yes, you can campare mortgage rates using the present value calculator. you can also check compound interest, present value, return rate / CAGR, annuity, present value of annuity, bond yield and retirement.
A good starting point is the present value of the annuity, see related link for the formula.You need to know how many years the annuity is good for, and estimate an interest rate. This is generally the interest rate someone could get for the money elsewhere, for example on government bonds. (Since buying your annuity would tie up the money for years, the interest rate for long term papers is the most relevant.)If we assume a 20-year annuity, 5,000/year and 5% interest, the total payout from the annuity is 100,000 and the present value is ~62,000.You would probably need to sell it for less than present value to make it a better alternative than bonds. How much less depends on the buyer. As an example, if the buyer wants 2% extra interest for the trouble, you can plug in 7% in the formula and get a current value of 52,970.See the link for the formula and calculate for your own numbers.
Yes, an annuity value calculator can show you the present value of an annuity. As you may know, the present value of an annuity is the current value of a set of cash flows in the future, based on a specified rate of return.
The four pieces to an annuity present value are: Present value(PV), Cashflow (C), Discount rate (r) and the life of the annuity (t)