Given:

Principle amount(p):=$5436.22

Interest rate(r)=4%=\(4/(100)\)=0.04

interest time(t)=4 years 3 months

number of times interest compounded per year(n)=1(given annually compounded)

present value(A)=?

Steps:

Formula for compound interest

\(A=P(1+r/n)^(nt)\)

\(=> A=5436.22(1+(0.04/1)^(1*4.25))\)

\(=5436.22(1+0.04)^(4.25)\)

\(=5436.22(1.04)^(4.25)\)

A=5436.22(1.181386)

A=$6422.27

present value(A)=$6422.27

option d is the right answer

Principle amount(p):=$5436.22

Interest rate(r)=4%=\(4/(100)\)=0.04

interest time(t)=4 years 3 months

number of times interest compounded per year(n)=1(given annually compounded)

present value(A)=?

Steps:

Formula for compound interest

\(A=P(1+r/n)^(nt)\)

\(=> A=5436.22(1+(0.04/1)^(1*4.25))\)

\(=5436.22(1+0.04)^(4.25)\)

\(=5436.22(1.04)^(4.25)\)

A=5436.22(1.181386)

A=$6422.27

present value(A)=$6422.27

option d is the right answer