P=principal=$6000
t=time period=6 years
Option A
n=4 (compounded 4 times a year, or quarterly)
r=0.075
Future Amount
=P(1+r/n)^(nt)
=6000(1+0.075/4)^(4*6)
=$9370.746
Option B:
e=2.7182818284 (Napier's constant)
r=interest rate = 0.072
Final amount
= Pe^(rt)
=6000*e^(0.072*6)
=9242.011
Therefore option A is more profitable.
