# Annuities and sicking funds

posted by .

Jane forest wants to receive yearly payments of 15000.00 for 10 years. How much must she deposit at her bank today at 11% intrest compouned annually?
I have fugured it to be as follows and could someone tell me if i am right.
15000.00 Future Value
N 10x1=10
I/Y 11% / 1=11
cpt=pmt is this right or am ai fuguring it wrong here Help please

• Annuities and sicking funds -

P = N * [1 - (1+r)^-n]/r

P = 15,000 * [1 - (1.11)^-10]/.11

P = 88,338

equivalently
P = N * [(1+r)^n -1]/[r*(1+r)^n]

P = 15,000 [ (1.11)^10 -1 ] / [.11*(1.11)^10]

P = 15,000 [ 1.84 /.312] = 88,338

• Annuities and sicking funds -

I think you mean sinking funds and not sicking funds, although during these hard times either may be true.

• Annuities and sicking funds -

Here is a link to the present value of a future annuity

http://en.wikipedia.org/wiki/Annuity_%28finance_theory%29

Look at

P \,=\,R\left[\frac{1-\frac{1}{\left(1+i\right)^n}}{i}\right] = R\cdot a_{\overline{n}|i}

• Annuities and sicking funds -

I figured that sicking fund was a typo, but perhaps it was in GE stock.

## Similar Questions

1. ### Annuities

Jane Frost wants to receive yearly payments of 15000 for 10 years. How much must she deposit at her bank today at 11% intrest compounded annually?
2. ### Annuities

Jany frost wants to receive yearly payments of 15000 for 10 years. How much must she deposti at her bank today at 11% intrest compounded annually?
3. ### Annuities and sicking funds

Janet Woo decided to retire to fla. in 6 years. What amount should Janet invest today so she can withdraw 50000.00 at the end of each year for 20 years after she retires?
4. ### maths

how much must i deposit today so that i can have 4700 in tow years time if the bank pays 5% compound interest yearly