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The formula for the present value of an annuity due. The present value of an annuity due is used to derive the current value of a series of cash payments that are expected to be made on predetermined future dates and in predetermined amounts.

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Sedrick Sawayn

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5y ago

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What are the four pieces to an annuity present value?

The four pieces to an annuity present value are: Present value(PV), Cashflow (C), Discount rate (r) and the life of the annuity (t)


What will decrease the present value of an annuity?

The present value of an annuity will decrease if the discount rate increases, as higher rates reduce the present value of future cash flows. Similarly, a decrease in the number of payment periods or a reduction in the payment amount will also lead to a lower present value. Additionally, delaying the start of the annuity payments can decrease the present value due to the time value of money.


Would an annuity value calculator show you the present value of an annuity?

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.


What decreases the Present value of an annuity?

Increasing the interest rate


Does decreasing a discount rate lower the present value?

No, decreasing the discount rate actually increases the present value of future cash flows. The discount rate reflects the time value of money, and when it is lowered, future cash flows are discounted less heavily, resulting in a higher present value. Conversely, increasing the discount rate would decrease the present value.


What is normally used as the discount rate in the net present value method?

the net present value as determined by normal discount rate is 10%


What happens to the present value of an annuity when the interest rate decreases?

it increases


As the discount rate becomes higher and higher the present value of inflows approaches what?

As, the present value of future cash flows is determined by the discount rate, so increase or decrease in the discount rate will affect the present value. Discount rate is simply cost or the expense to the company,so in simplest terms, discount rate goes up, cost goes up,so this will lower the present value of cash flows. Assumes a discount rate of 5%,to discount $100 in one years time: Present Value=$100 * 1/(1.05) =$95.24 Ok,as you say,if the discount rate becomes higher,let's say 8%: Present Value=$100 * 1/(1.08) =$92.6 so, the higher the discount rate, the lower the present value.


To increase a given present value the discount rate should be adjusted?

To increase a given present value, you would generally lower the discount rate. This is because a lower discount rate reduces the impact of future cash flows, making the present value higher. Conversely, increasing the discount rate would decrease the present value.


What is the present value of the following annuities 1 2500 a year for 10 years discounted back to the present at 7 percent?

To calculate the present value of an annuity, you can use the formula: [ PV = P \times \left( \frac{1 - (1 + r)^{-n}}{r} \right) ] where ( P ) is the annual payment, ( r ) is the discount rate, and ( n ) is the number of years. For an annuity of $2,500 per year for 10 years at a 7% discount rate, the present value is: [ PV = 2500 \times \left( \frac{1 - (1 + 0.07)^{-10}}{0.07} \right) \approx 2500 \times 8.5302 \approx 21,325.50 ] Thus, the present value of the annuity is approximately $21,325.50.


How does discount rate affect net present value?

The discount rate directly influences the net present value (NPV) by determining the present value of future cash flows. A higher discount rate reduces the present value of those cash flows, leading to a lower NPV, while a lower discount rate increases the present value and thus the NPV. If the discount rate exceeds the internal rate of return of a project, the NPV may become negative, indicating that the project may not be viable. Conversely, a lower discount rate can make an investment more attractive by increasing its NPV.


Is the interest rate and discount rate in present value?

yes they are the same