Respuesta :

Principal, P = 6787
Interest rate, i = 14% per year (simple)
Time, t=4/12=1/3 year

Maturity value
F=P(1+it)
=6787(1+0.14*(1/3))
= 7103.73 (to the nearest cent)

Answer : The maturity value of a loan is, $7103.73

Step-by-step explanation :

Given:

Principle = $6787

Rate = 14 % per year

Time = 4 months = [tex]\frac{4}{12}years=\frac{1}{3}years[/tex]

First we have to determine the simple interest.

Formula used :

[tex]S.I=\frac{PRT}{100}[/tex]

where,

P = principle  

R = interest rate

T = time

S.I = simple interest

Now put all the given values in the above formula, we get:

[tex]S.I=\frac{(\$6787)\times (14)\times (\frac{1}{3})}{100}[/tex]

[tex]S.I=\$316.73[/tex]

Now we have to calculate the maturity value of a loan.

Maturity value of a loan = Principle + Simple interest

Maturity value of a loan = $6787 + $316.73

Maturity value of a loan = $7103.73

Thus, the maturity value of a loan is, $7103.73