(Factoring) Your firm has an average collection period of 31 days. Current practice is to factor all receivables immediately at a discount of 1.25 percent. What is the effective cost of borrowing EAR in this case

Respuesta :

Answer: 16.03%

Explanation:

Effective Annual Rate = [tex]( 1 + interest)^{number of compounding periods} - 1[/tex]

Interest

= [tex]\frac{Discount rate}{1 - Discount rate}[/tex]

= [tex]\frac{0.0125}{1 - 0.0125}[/tex]

= 0.01265

= 1.27%

Number of Compounding periods

= [tex]\frac{365}{Average Collection period}[/tex]

= [tex]\frac{365}{31}[/tex]

= 11.77 periods

Effective Annual Rate

= [tex]( 1 + 0.0127)^{11.77} - 1[/tex]

= 0.1603