Problema Solution

Georgia bought a house in 1998 for $220,000. In 2003 she sold the house and made a net profit of $50,000. Find the effective annual rate of return on her investment over the 5 year period.

Answer provided by our tutors

P = $220,000.00 is principal value

A = $220,000 + $50,000 = $270,000 is future value

t = 2003 - 1998 = 5 years is number of years

is the effective rate that we need to find

= (A/P)^(1/t) - 1

= (270,000/220,000)^(1/5) - 1

= 0.0418 or 4.18%

The effective annual rate of return on her investment over the 5 year period is 4.18% approximately.