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The formula for the present value of an ordinary annuity is ( PV = P \times \frac{1 - (1 + r)^{-n}}{r} ), where ( PV ) is the present value, ( P ) is the payment amount per period, ( r ) is the interest rate per period, and ( n ) is the total number of payments. For the future value of an ordinary annuity, the formula is ( FV = P \times \frac{(1 + r)^n - 1}{r} ). These formulas are used to calculate the value of a series of equal payments made at regular intervals.
What else can I help you with?
The factor for the future value of an annuity due is found by multiplying the ordinary annuity table value by one minus the interest rate?
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.
When does interest begins compounding in an ordinary annuity?
At the end of the second period
The future value of an annuity due is always greater than the future value of an otherwise identical ordinary annuity True or false?
true
When there is only one compounding period in a ordinary annuity the table factor for future value is always 1?
True
The present value of an ordinary annuity of 350 each year for five years assuming an opportunity cost of 4 percent is?
To calculate the present value of an ordinary annuity, we can use the formula: [ PV = P \times \left(1 - (1 + r)^{-n}\right) / r ] where ( P ) is the payment per period (350), ( r ) is the interest rate (0.04), and ( n ) is the number of periods (5). Plugging in the values, we get: [ PV = 350 \times \left(1 - (1 + 0.04)^{-5}\right) / 0.04 \approx 1,586.60. ] Thus, the present value of the annuity is approximately $1,586.60.
What gains more interest an ordinary annuity or an annuity due?
ordinary annuity
What The difference between ordinary annuity and annuity due?
ordinary annuity we paid at the end of the period annuity due we paid at the begging of the period
What The differences between ordinary annuity and annuity due?
ordinary annuity we paid at the end of the period annuity due we paid at the begging of the period
What is the difference between ordinary annuities and annuities due?
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.
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.
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.
The factor for the future value of an annuity due is found by multiplying the ordinary annuity table value by one minus the interest rate?
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.
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 future value on an ordinary annuity of 12000 dollars per year for three years at 9 percent interest compounded annually?
39,337.20
When does interest begins compounding in an ordinary annuity?
At the end of the second period
The future value of an annuity due is always greater than the future value of an otherwise identical ordinary annuity True or false?
true
Is the annuIty received from an insurance co is taxable?
It grows tax deferred. If you take an income stream or annuitize the annuity, the money is taxed as ordinary income.
