# Answer to Question #89801 in Financial Math for Husnain

Question #89801

If an employee deposits Rs. 2,000 at the end of each year into his company’s plan which pays 7% interest compounded quarterly, how much will he have in the account at the end of 5 years?

Expert's answer

In this case result be next:

If we have simple percents (interest compounded for base deposit), we will receive:

S=S0(1+npl/(100m))+nR(1+(n-1)pl/(200m))={S0=2000, m=4, n=5,l=4,p=7}=2000*(1+5*7*4/(100*4))+5*2000*(1+4*7*4/(200*4))=14100 Rs.

If we have complex percents (interest compounded for each new value of the deposit), we will receive:

S=S_{0}*(1+p/(100*m))^{n*l}+R(1-(1+p/(100*m))^{nl})/(1-(1+p/(100*m))^{l})={S0=2000, m=4, n=5,l=4,p=7}=

=2000*(1+7/(100*4))^{5*4}+2000 (1-(1+7/(100*4))^{5*4})/(1-(1+7/(100*4))^{4})=14373.78

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