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You are going to use your knowledge of present value to determine the costs of using store financing vs introductory credit card offers. Assume that
You are going to use your knowledge of present value to determine the costs of using store financing vs introductory credit card offers. Assume that you are making these decisions in the first few months of your full time employment after college. For both options, you are required to pay 7% sales tax. Assume that you have $1,200 saved in your saving account. Your saving account pays you 2% interest. Assume the market interest rate is currently 6%. Even though the financing compounds more frequently, in this assignment, assume the charges are compounded annually.
Purchase options:
Television and home theater: You have decided to upgrade your entertainment system to include a 50 3D-LED-Smart TV for $1,800, a Blu-ray home theater system for $400, and assorted mounting and cables for $250. The credit terms posted for Best Buy apply to this purchase. For store financing, assume 12 months no interest. Suppose the current discount is 8% for purchases made using their card.
2.
Option 1: Store financing special
a.
Read the store financing option for the store that you have chosen above. Note that interest starts accruing from the date of purchase. If you have not paid the entire balance, the full interest is charged to you. Before you make the decision, you should know the costs and benefits. Calculate the amount of interest charge you will accrue if you do not pay off the balance within the offer period. Discount that figure to calculate the interest charge in present value terms. If you take the store financing, you can leave your $1,200 in the saving account for the offer period and earn interest. How much interest will you earn? What is the present value of your saving account balance at the end of the offer period? Calculate the net cost to you in present value terms if you pay off the balance before the offer period ends (PV cost PV of savings).
3.
Option 2: Store Credit Cards
a.
Review the credit card terms from the store you chose. Lets assume the interest is compounded annually at the beginning of the year for ease of calculation. (In real life, its compounded either daily or monthly.) At the store, you would put the entire balance (minus the discount) on the new credit card. Credit cards do not have a 12 month grace period so you cannot avoid the interest on the credit card. You can use the $1,200 in your saving account to make a payment immediately and reduce the credit card balance, or you can leave the savings at the bank and earn interest for either one or two more years. Which would you choose to do? Calculate the first years interest charges using the credit card rate and your total balance. Think of this as the ceiling on the amount you would likely pay. Note: you should use your answer from above about whether to make the initial payment of $1,000 to reduce the balance on which interest is calculated.
4.
After calculating the costs under options 1 and 2, write up a summary of your findings. Include the calculations you made. Make sure to tell me which option you would choose for financing.
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