Respuesta :
Answer:
Find detailed explanation below
Explanation:
The required future amount of 2308 is the future value of the amount invested today, hence, using the future value formula as provided below, we can determine the length of time it takes Lamar to accumulate enough money for the project.
FV=PV*(1+r/n)^mn
FV=2308
PV=2000
r=4%(assumed in order to explain the concept of the time value of money in a clearer context)
n=2(interest is compounded semiannually, twice a year)
m=number of years it takes to accumulate enough money=unknown
2308=2000*(1+4%/2)^2*m
2308/2000=(1.02)^2*m
1.154=1.0404^m
take the log of both sides
ln(1.154)=m ln(1.0404)
m=ln(1.154)/ln(1.0404)
m=3.62 years
