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you have 9000 to deposit, at a 12% discount per year compounded monthly, how much will your investment be worth in 20 years

 Feb 26, 2015

Best Answer 

 #2
avatar+118723 
+5

It would not be a discount it would be interest.!!!

PV=9000

n=20*12=240       that is how many months

r=0.12/12 = 0.01           that is the monthly interest rate

 

FV = 9000(1+0.01)^240

 

$${\mathtt{9\,000}}{\mathtt{\,\times\,}}{\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\mathtt{0.01}}\right)}^{{\mathtt{240}}} = {\mathtt{98\,032.982\: \!884\: \!862\: \!404\: \!027}}$$

 

It will grow to $98,032.98

 Feb 26, 2015
 #1
avatar
0

9000*(1.12)^20

 Feb 26, 2015
 #2
avatar+118723 
+5
Best Answer

It would not be a discount it would be interest.!!!

PV=9000

n=20*12=240       that is how many months

r=0.12/12 = 0.01           that is the monthly interest rate

 

FV = 9000(1+0.01)^240

 

$${\mathtt{9\,000}}{\mathtt{\,\times\,}}{\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\mathtt{0.01}}\right)}^{{\mathtt{240}}} = {\mathtt{98\,032.982\: \!884\: \!862\: \!404\: \!027}}$$

 

It will grow to $98,032.98

Melody Feb 26, 2015

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