BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Balance after one year

Expert replies
Source: — Problem Solving |

by macattack » Wed Aug 14, 2013 11:16 pm
Hi yumi,
well it depends on the given! But assuming that the given is the following:
Interest rate compounded annually=10%
and the period is one year then the formula above would represent the balance after one year with interest compounded semi annually.
The GMAT can be destroyed.
Join the discussion

by Brent@GMATPrepNow » Thu Aug 15, 2013 5:54 am
You can use this formula to calculate compound interest:
Final balance = P( 1 + r/c)^nc where:
P = the principal (the initial investment)
r = the annual interest rate expressed as a decimal
c = the number of times the interest is compounded each year
n = the number of years the investment collects interest


Example:
Kevin invests $1300 at an annual interest rate of 8 percent compounded quarterly. What is the value of his investment after 7 years?

Final balance = P( 1 + r/c)^nc
= 1300(1 + 0.08/4)^(4x7)
= 1300(1.02)^28

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Join the discussion