Which will have a higher effective interest rate — a payday loan for $1900 that is due in 14 days with a fee of $80, or a payday loan for $1900 that is due in 12 days with a fee of $80?


A. A payday loan for $1900 that is due in 12 days with a fee of $80, since it has the longer period

B. A payday loan for $1900 that is due in 14 days with a fee of $80, since it has the shorter period

C. A payday loan for $1900 that is due in 14 days with a fee of $80, since it has the longer period

D. A payday loan for $1900 that is due in 12 days with a fee of $80, since it has the shorter period

Respuesta :

A payday loan for $1900 that is due in 12 days with a fee of $80, since it has the shorter period

We will find effective interest rate for each case

case-1:

a payday loan for $1900 that is due in 14 days with a fee of $80

effective interest rate =[tex] \frac{1900}{14} +80 [/tex]

effective interest rate =$215.71429 per day

case-2:

a payday loan for $1900 that is due in 12 days with a fee of $80

effective interest rate =[tex] \frac{1900}{12} +80 [/tex]

effective interest rate =$238.3333 per day

We can see that second interest rate is higher because number of days are lesser

so,

option-D...........Answer