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Homework answers / question archive / Hand-to-Mouth (H2M) is currently? cash-constrained, and must make a decision about whether to delay paying one of its? suppliers, or take out a loan

Hand-to-Mouth (H2M) is currently? cash-constrained, and must make a decision about whether to delay paying one of its? suppliers, or take out a loan

Finance

Hand-to-Mouth (H2M) is currently? cash-constrained, and must make a decision about whether to delay paying one of its? suppliers, or take out a loan. They owe the supplier $11,500 with terms of 2?/10 Net? 40, so the supplier will give them a 2% discount if they pay by today? (when the discount period? expires). ? Alternatively, they can pay the full $11,500 in one month when the invoice is due. H2M is considering three? options:

Alternative? A: Forgo the discount on its trade credit? agreement, wait and pay the full $11,500 in one month.

Alternative? B: Borrow the money needed to pay its supplier today from Bank? A, which has offered a? one-month loan at an APR of 11.9%. The bank will require a? (no-interest) compensating balance of 4.7% of the face value of the loan and will charge a $105 loan origination fee. Because H2M has no? cash, it will need to borrow the funds to cover these additional amounts as well.

Alternative? C: Borrow the money needed to pay its supplier today from Bank? B, which has offered a? one-month loan at an APR of 14.9%. The loan has a 1.2% loan origination? fee, which again H2M will need to borrow to cover.

Alternative? A:

The effective annual cost is

27.43

 

27.43?%. ?(Round to two decimal? places.)

Alternative? B:

The effective annual rate is

nothing

 

?%. ?(Round to two decimal? places.)

 

I need help with Alternative B and alternative C.

pur-new-sol

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A) The implied interest rate for 30 days  (2%/(1-2%)) 2.04%  
  Effective Annual Rate ((1+2%/(1-2%)^12)-1)  27.43%  
       
B) Amount to be borrowed ($11500*(1-2%))  11270  
BANK - A Total Loan Amount ((11270+105)/(1-0.047)) 11936  
  Amount Received  (11936-105-11936*4.7%)  11270  
  Amount Repaid   (11936+11936*11.9%/12-11936*4.7%)  11493  
  Interest rate of 1 month ((11493/11270)-1)  1.98%  
  Effective Annual Rate ((1+(11493-11270)/11270)^12-1) 26.56% Answer
       
C) Loan Amount  (11270/(1-1.2%)) 11407  
BANK - B Amount Received 11270  
  Amount repaid (11407+11407*14.9%/12)  11549  
  Interest Rate for 1 Month ((11549-11270)/11270) 2.47%  
  Effective Annual Rate ((1+(11549-11270)/11270)^12-1) 34.04% Answer
       
  Alternative B, with the lowest effective annual? rate, is the best option for?Hand-to-Mouth.    

 

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