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Carey Company is borrowing $275,000 for one year at 10.5 percent from Second Int

ID: 2731826 • Letter: C

Question

Carey Company is borrowing $275,000 for one year at 10.5 percent from Second Intrastate Bank. The bank requires a 20 percent compensating balance. The principal refers to funds the firm can effectively utilize (Amount borrowed Compensating balance).

   

What is the effective rate of interest? (Use a 360-day year. Input your answer as a percent rounded to 2 decimal places.)

    

   

What would the effective rate be if Carey were required to make 12 equal monthly payments to retire the loan? (Use a 360-day year. Input your answer as a percent rounded to 2 decimal places.)

   

Carey Company is borrowing $275,000 for one year at 10.5 percent from Second Intrastate Bank. The bank requires a 20 percent compensating balance. The principal refers to funds the firm can effectively utilize (Amount borrowed Compensating balance).

Explanation / Answer

Answer:a Effective rate of interest with 20% compensating balance =[Interest/(Principal -Compensating balance)]*(Days in the year(360)/Days loan is outstanding)

=[28875/(275000-55000)]*(360/360)

=13.13%

Answer:b Installment loan with compensating balance

2 *Annual no. payments* Interest/(Total no. of payments+1)*Principal

=2*12*28875/(12+1)*(275000-55000)

=693000/2860000

=24.23%