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Saving $100 per month at 12% interest over 20 years. How would I write the formula?

 Aug 21, 2015

Best Answer 

 #2
avatar+118609 
+5

Well it depends when the money goes into the bank

Say it goes in at the end of each month. And the interest is really paid monthly.

Then you would be getting 1% interest per month for 20*12 = 240 months

This is the future value of an ordinary annuity problem.

$${\mathtt{100}}{\mathtt{\,\times\,}}\left({\frac{\left({\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\mathtt{0.01}}\right)}^{{\mathtt{240}}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}{{\mathtt{0.01}}}}\right) = {\mathtt{98\,925.536\: \!538\: \!736\: \!004\: \!474\: \!5}}$$

 

So you would have    $98,925.54      

 Aug 22, 2015
 #1
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((100*12)*12/100)*20. Hope this helps :)

 Aug 21, 2015
 #2
avatar+118609 
+5
Best Answer

Well it depends when the money goes into the bank

Say it goes in at the end of each month. And the interest is really paid monthly.

Then you would be getting 1% interest per month for 20*12 = 240 months

This is the future value of an ordinary annuity problem.

$${\mathtt{100}}{\mathtt{\,\times\,}}\left({\frac{\left({\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\mathtt{0.01}}\right)}^{{\mathtt{240}}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}{{\mathtt{0.01}}}}\right) = {\mathtt{98\,925.536\: \!538\: \!736\: \!004\: \!474\: \!5}}$$

 

So you would have    $98,925.54      

Melody Aug 22, 2015

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