SOLUTION: You decide to invest $15000 into a bank account that that is compounding its interest monthly. Assuming the bank is paying out an interest rate of the current prime rate 3.25 - 1%

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Question 947994: You decide to invest $15000 into a bank account that that is compounding its interest monthly. Assuming the bank is paying out an interest rate of the current prime rate 3.25 - 1% (In the event that prime - 1% is less than 1%, use 1%), and the investment is for 5 years
I’m not sure I understand this question. the current prime rate is minus 1%?

a) How much money (total) do you have after the 5 years pass?
15,000*(1+.01)=15,150
15,150*(1+.01)=15,301.50
15,301.50*(1+.01)=15,454.52
15,454.52*(1+.01)=15,609.06
15,609.06*(1+.01)=15,765.15
The interest rate is Prime Rate (which is 3.25% at the present time) less 1%.
This process is not correct. The problem is looking for a future value of an investment paying compound interest monthly, for 5 years. The FV formula will have to be used. Please see the textbook, Chapter 13 for the formula.
- 5 points
Okay, so I think I’ve got this now. Period interest rate = annual interest rate ÷ number of interest periods per yr
3.25-1%=2.25%
interest periods per year are 12*5 years =60 times.
2.25%/12 interest periods=.00875*5years=.009375
So we have to find the future value using the formula..
Principle+(1+rate) and so on
15,000(1+.009375)=15,140.63 future value at one year
15,140.63(1+.009375)=15,282.57
15,282.57(1+.009375)=


b) How much do you earn in interest over the 5 years?
15,765.15-15,000=
$765.15
helppp

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think you misinterpreted the interest rate.
I think it's (3.25-1)% or 2.25%
If prime is less than 1%, then use 1% since if it's less than 1 you would have a negative interest rate.
F=P%281%2Bi%29%5En
Since it's compounded monthly, adjust the interest rate.
I=2.25%2F%28100%2A12%29=0.001875
Adjust the time periods,
n=5%2A12=60
So then,
F=15000%281%2B0.001875%29%5E60
F=15000%281.001875%29%5E60
F=15000%281.1189544%29
F=16784.32
.
.
.
b)
I=F-P
I=16784.32-15000
I=1784.32