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What is the future value of a 5-year ordinary annuity?
The future value of a 5-year ordinary annuity can be calculated using the formula: ( FV = P \times \frac{(1 + r)^n - 1}{r} ), where ( P ) is the payment per period, ( r ) is the interest rate per period, and ( n ) is the number of periods. This formula accounts for the compounding interest on each payment made at the end of each period. To find the specific future value, you would need to know the payment amount and the interest rate.
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?
To calculate the Present Value (PV) of an ordinary annuity, you can use the formula: [ PV = P \times \frac{1 - (1 + r)^{-n}}{r} ] where ( P ) is the annual payment (3000), ( r ) is the interest rate (0.04), and ( n ) is the number of payments (5). Substituting these values into the formula gives: [ PV = 3000 \times \frac{1 - (1 + 0.04)^{-5}}{0.04} \approx 3000 \times 4.4518 \approx 13355.39 ] Thus, the Present Value of the ordinary annuity is approximately $13,355.39.
What is the present value of an annuity due of 1000 per year for 12 years at 5 percent interest?
To calculate the present value of an annuity due, you can use the formula: ( PV = P \times \left(1 + r\right) \times \frac{1 - (1 + r)^{-n}}{r} ), where ( P ) is the payment per period, ( r ) is the interest rate, and ( n ) is the number of periods. Substituting in the values ( P = 1000 ), ( r = 0.05 ), and ( n = 12 ), the present value of the annuity due is approximately $11,021.88. This accounts for the fact that payments are made at the beginning of each period.
Is the present value factor the exponent of the future value factor?
The present value factor is the exponent of the future value factor. this is the relationship between Present Value and Future Value.
Formula for percent of increase and decrease?
% increase or decrease = |original value - new value| /original value * 100%
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.
The future value of an annuity due is always greater than the future value of an otherwise identical ordinary annuity True or false?
true
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.
What is the farmula for years of ordinary annuity?
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.
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 is present value annuity factor calculated?
The present value annuity formula is used to simplify the calculation of the current value of an annuity. A table is used where you find the actual dollar amount of the annuity and then this amount is multiplied by a value to get the future value of that same annuity.
What is the future value of a 5-year ordinary annuity?
The future value of a 5-year ordinary annuity can be calculated using the formula: ( FV = P \times \frac{(1 + r)^n - 1}{r} ), where ( P ) is the payment per period, ( r ) is the interest rate per period, and ( n ) is the number of periods. This formula accounts for the compounding interest on each payment made at the end of each period. To find the specific future value, you would need to know the payment amount and the interest rate.
What is the formula of general annuity?
The formula for the present value of a general annuity is given by: [ PV = P \times \frac{1 - (1 + r)^{-n}}{r} ] where ( PV ) is the present value of the annuity, ( 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 annuity, the formula is: [ FV = P \times \frac{(1 + r)^n - 1}{r} ] where ( FV ) is the future value of the annuity.
When there is only one compounding period in a ordinary annuity the table factor for future value is always 1?
True
What happens to the present value of an annuity if the future value of an annuity is increased?
It increases
What is the Difference between the future value of annuity and sinking fund?
future value of an annuity is a reciprocal of a sinking fund
How do you define the value of value?
I need a answer how do you know when to use future value or present value and future value of a annuity and present value of annuity Please help
