Question
You deposit $10,000 at 5% per year. What is the balance at the end of
one year if the interest paid is
(a) simple interest
(b) compounded monthly
one year if the interest paid is
(a) simple interest
(b) compounded monthly
Answers
MathMate
Let
A=amount at the end of n periods
r=interest rate per annum, 0.06 for 6% p.a.
R=interest rate per period, in the form
(1+r/k) where k=number of periods per year
(1+0.06)=1.06 for 6% p.a., or
(1+0.06/12)=1.005 for 6% p.a. compounded monthly
Simple interest:
A=PRn
=10000*1.05=10500
Compound interest:
A=PR^n
=10000*(1+0.05/12)^12
=10000*1.051162
=10511.62
Compound interest, compounded monthly
A=amount at the end of n periods
r=interest rate per annum, 0.06 for 6% p.a.
R=interest rate per period, in the form
(1+r/k) where k=number of periods per year
(1+0.06)=1.06 for 6% p.a., or
(1+0.06/12)=1.005 for 6% p.a. compounded monthly
Simple interest:
A=PRn
=10000*1.05=10500
Compound interest:
A=PR^n
=10000*(1+0.05/12)^12
=10000*1.051162
=10511.62
Compound interest, compounded monthly
MIKE.
Okay where did the 6% came in from?
MathMate
The 6% is an example for the definition of the symbol R. Sorry if it misled you!