Question

At age 19, Tessa Trainor is in the middle of her second year of studies at a community college in Savannah. She has done well in her course work; majoring in pre-business studies, she currently has a 3.75 grade point average. Tessa lives at home and works part-time as a filing clerk for a nearby electronics distributor. Her parents can't afford to pay any of her tuition and college expenses, so she's virtually on her own as far as college goes. Tessa plans to transfer to the University of Tennessee next year. (She has already been accepted.) After talking with her counselor, Tessa feels she won't be able to hold down a part-time job and still manage to complete her bachelor's degree program at UT in 2 years. Knowing that on her 22nd birthday she will receive approximately $35,000 from a trust fund left her by her grandmother, Tessa has decided to borrow against the trust fund to support herself during the next 2 years. She estimates that she'll need $23,000 to cover tuition, room and board, books and supplies, travel, personal expenditures, and so on during that period. Unable to qualify for any special loan programs, Tessa has found two sources of single-payment loans, each requiring a security interest in the trust proceeds as collateral. The terms required by each potential lender are as follows:

1. Tennessee State Bank will lend $29,000 at 7 percent discount interest. The loan principal would be due at the end of two years.
2. National Bank of Knoxville will lend $23,000 under a two-year note. The note would carry a 7 percent simple interest rate and would also be due in a single payment at the end of two years.

1. 1. How much would Tessa receive in initial loan proceeds under the Tennessee State Bank loan? Round the answer to the nearest dollar.
      $  
      
   2. How much would Tessa be required to repay at maturity under the Tennessee State Bank loan? Round the answer to the nearest dollar.
      $  
   
   
2. 1. Compute the finance charges on the loan offered by Tennessee State Bank. Round the answer to the nearest dollar.
      $  
      
   2. Compute the APR on the loan offered by Tennessee State Bank. Round the answer to 2 decimal places.
         %
   
   
3. 1. Compute the finance charges on the loan offered by the National Bank of Knoxville. Round the answer to the nearest dollar.
      $  
      
   2. Compute the APR on the loan offered by the National Bank of Knoxville. Round the answer to 2 decimal places.
         %
   3. How big a loan payment would be due at the end of two years?
      $
   
   
4. Compare your findings in Questions 2 and 3, and recommend one of the loans to Tessa.
   National Bank of KnoxvilleTennessee State BankItem 8
   Explain your recommendation.
   
5. What other recommendations might you offer Tessa regarding disposition of the loan proceeds?

Answer 1

	a	Amount received -Tennessee State Bank loan
		Amount of loan	$29,000
		Amount of interest =29000*7%*2=	$4,060
		Amount received -Tennessee State Bank loan	$24,940	(29000-4060)
	b	Amount required to be repaid--Tennessee State Bank loan	$29,000
	a	Finance Charge	$4,060
	b	APR on the loan
	Pv	Loan Received	$24,940
	Nper	Number of years	2
	Fv	Amount repaid on maturity	$29,000
		APR on the loan=r
		24940*((1+r)^2)=29000
		(1+r)^2=29000/24940=	1.162791
		1+r=1.162791^(1/2)=	1.078328
		APR on the loan=r	0.078328
		APR on the loan=r	7.83%
	a	Finance charges on the loan offered by the National Bank of Knoxville
		Finance Charge =23000*7%*2	$3,220
	b	APR on the Loan=r1
	Pv	Loan Received	$29,000
	Nper	Number of years	2
	Fv	Amount repaid on maturity=29000+3220	$32,220
		29000*((1+r1)^2)=32220
		(1+r1)^2=32220/29000=	1.111034
		1+r1=1.111034^(1/2)=	1.054056
		APR on the loan=r	0.054056
		APR on the loan=r	5.41%
	c	Loan Repayment at end of two years	$32,220
		RECOMMENDATION:
		National Bank of Knoxville
		Reason: APR is lower