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Q: What is the Present Value of an ordinary annuity with five annual payments of 3000 each if the appropriate interest rate is 4.00 percent?
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What is the difference between ordinary annuity and annuity due?

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.


If the interest rate is 4 percent what is the present value of this stream of payments?

Present value of streams can be found by dividing the streams with 4 percent interest rate for example if stream is 100 then present value will be present value = 100 / .04


Differentiate between ordinary annuity and annuity due?

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.


How can you convert the present value of an ordinary annuity into the present value of annuity due?

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


What is the present value of 2500 to be received at the beginning of each of 30 periods and discounted at 10 percent compound interest?

The present value of a series of payments with compound interest and payments at the end of a period can be found by the formula:PV = c * (1-(1+i)^(-n))/iwhere 'c' is the amount of the periodic payment,n is the number of periods, and i is the interest rate per period.Since you want to find the Present Value for payments starting at the beginning of the period, you would receive 1 payment of 2500 now, which would have a present value of 2500, plus the present value of 29 payments received at the end of the period:PV = 2500 + 2500 * (1-(1+.10)^(-29))/(0.10) = 25924.01


What is a present value calculator?

A present value calculator is a calculator that is used to figure out the future value of something based on constant payments and interest rates. It helps to calculate the present value as well.


What is the difference between present value interest factors versus future value interest factor?

The Present Value Interest Factor PVIF is used to find the present value of future payments, by discounting them at some specific rate. It decreases the amount. It is always less than oneBut, the Future Value Interest Factor FVIF is used to find the future value of present amounts. It increases the present amount. It is always greater than one.


What is appropriate percentage for present value?

The answer depends on the term (length of ime) and the interest rate or inflation rate expected over the period.


What is the formula for present value of 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?


What is value of money?

The time value of money is based on the premise that an investor prefers to receive a payment of a fixed amount of money today, rather than an equal amount in the future, all else being equal. In particular, if one received the payment today, one can then earn interest on the money until that specified future date. All of the standard calculations are based on the most basic formula, the present value of a future sum, "discounted" to the present. For example, a sum of FV to be received in one year is discounted (at the appropriate rate of r) to give a sum of PV at present. Some standard calculations based on the time value of money are: : Present Value (PV) of an amount that will be received in the future. : Present Value of a Annuity (PVA) is the present value of a stream of (equally-sized) future payments, such as a mortgage. : Present Value of a Perpetuity is the value of a regular stream of payments that lasts "forever", or at least indefinitely. : Future Value (FV) of an amount invested (such as in a deposit account) now at a given rate of interest. : Future Value of an Annuity (FVA) is the future value of a stream of payments (annuity), assuming the payments are invested at a given rate of interest. The time value of money is based on the premise that an investor prefers to receive a payment of a fixed amount of money today, rather than an equal amount in the future, all else being equal. In particular, if one received the payment today, one can then earn interest on the money until that specified future date. All of the standard calculations are based on the most basic formula, the present value of a future sum, "discounted" to the present. For example, a sum of FV to be received in one year is discounted (at the appropriate rate of r) to give a sum of PV at present. Some standard calculations based on the time value of money are: : Present Value (PV) of an amount that will be received in the future. : Present Value of a Annuity (PVA) is the present value of a stream of (equally-sized) future payments, such as a mortgage. : Present Value of a Perpetuity is the value of a regular stream of payments that lasts "forever", or at least indefinitely. : Future Value (FV) of an amount invested (such as in a deposit account) now at a given rate of interest. : Future Value of an Annuity (FVA) is the future value of a stream of payments (annuity), assuming the payments are invested at a given rate of interest.


What is the present value of a 30 year annuity with payments of 7000 per year if interest rates are 8 percent annually?

85,109 if the payments are received at the start of each year and 78,804 if they are received at the end of each year


What is the present value of a 30 year 100 dollar bond which provides fixed semiannual interest payments when the effective rate is 12 percent and the bonds stated rate is 7 percent?

Coupon payment = (100)(.035) = 3.5 PV coupon payments payments = $56.56 PV of bond = 3.34 Present value of bond = 56.56 + 3.34 = $59.90