Jim Ryan, an owner of a Burger King restaurant, assumes that his restaurant will need a new roof in 5 years. He estimates the roof will cost him $10,300 at that time.
What amount should Jim invest today at 12% compounded quarterly to
be able to pay for the roof? (Do not round intermediate
calculations. Round your answer to the nearest cent.)
Answer
quarterly effective interest rate =annual nominal rate /number of compounding =12/4=3%=i
n=number of quarters =5*4=20
FV=future value=10300
PV=presentt value =?
PV=FV*(1+i)^(-n)
=10300*(1.03^-20)
=5702.86027
=5702.86
the value is $5702.86
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