Question

Anne Lockwood, manager of Oaks Mall Jewelry, wants to sell on credit, giving customers 3 months to pay. However, Anne will have to borrow from her bank to carry the accounts receivable. The bank will charge a nominal rate of 15% and will compound monthly. Anne wants to quote a nominal rate to her customers (all of whom are expected to pay on time) that will exactly offset her financing costs. What nominal annual rate should she quote to her credit customers

Answer 1

Answer:

15.18%

Explanation:

Calculation for the nominal annual rate

First step is to find EFF% using this formula

EFF%=[1+(Nominal rate percentage/Numbers of months in a year )]^Numbers of months in a year

Let plug in the formula

EFF%=[1+(15%/12)^12

EFF%=(1+0.0125)^12

EFF%=(1.0125)^12

EFF%=1.1608×100%

EFF%=116.08%

Second step is to find Rnom compounding quarterly of 116.08% using this formula

Rnom compounding quarterly = (1+(R/4)^4

Let plug in the formula

Rnom compounding quarterly= (116.08%)^(1/4) Rnom compounding quarterly= 1+ R/4

Hence,

Rnom compounding quarterly = 15.18%

Therefore Anne Lockwood should quote her customers with Rnom compounding quarterly of 15.18%