Question

Jimmy Hale is the owner and operator of the grain elevator in​ Brownfield, Texas, where he...

Jimmy Hale is the owner and operator of the grain elevator in​ Brownfield, Texas, where he has lived for most of his 62 years. The rains during the spring have been the best in a​ decade, and Mr. Hale is expecting a bumper wheat crop. This has prompted him to rethink his current financing sources. He now believes he will need an additional $ 180,000 for the​ 3-month period ending with the close of the harvest season. After meeting with his​ banker, Mr. Hale is puzzling over what the additional financing will actually cost. The banker quoted him a rate of 2 percent over prime​ (which is currently 6 ​percent) and also requested that the firm increase its current bank balance of ​$4,000 up to 18 percent of the loan.

a. If interest and principal are all repaid at the end of the​ 3-month loan​ term, what is the annual percentage rate on the loan offer made by Mr.​ Hale's bank? b. If the bank were to offer to lower the rate to prime if interest is​ discounted, should Mr. Hale accept this​ alternative? Note​: Assume a​ 30-day month and​ 360-day year.

a. The annual percentage rate on the loan offer made by Mr.​ Hale's bank is 9.58​%. ​ (Round to two decimal​ places.)

b. If the bank were to offer to lower the rate to prime if interest is​ discounted, the annual percentage rate of this alternative is____?.

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