Question

In: Finance

Today, after having spent hours in the library doing your homework you decide that you need...

Today, after having spent hours in the library doing your homework you decide that you need your own personal computer. The laptop you want is priced at $2,600.00 but all you have with you is $250.00 cash. Your only option now is to charge the remaining amount to your credit card. The credit card has an APR of 24.90% starting 6 months after the purchase date. You would be paying off the loan by giving $100.00 each month on the 1st starting in May 2018. A 8.25% sales tax will be applied to the $2,600. If you purchase the laptop today paying only the remaining amount using that credit card, how long will it take you to pay off the loan? Assume: • That is the only payment you charge to the card • No penalty fees are charged since you are very responsible and pay the $100 every month on time and you have sufficient founds so the payment does not go returned • No annual fees Would you wait to purchase the laptop until you have saved enough or would you make the purchase using a credit card? Why or why not?

Please include

interest rate,Cash flow diagram, factors, input data, equations used, calculations, amd solution

Thanks

Solutions

Expert Solution

Total amount to be paid for the laptop= 2600+8.25% of 2600= 2600+214.5=$2814.5

Initial payment made= $250

Remaining amount to be paid= 2814.5-250= $2564.5

Item cost 2564.5
Item cost 2564.5
Interest rate 24.90%
Monthly repayment 100
Month Payment Interest Balance
01/05/2018 100 53.21 2517.71
01/06/2018 100 52.24 2469.96
01/07/2018 100 51.25 2421.21
01/08/2018 100 50.24 2371.45
01/09/2018 100 49.21 2320.66
01/10/2018 100 48.15 2268.81
01/11/2018 100 47.08 2215.89
01/12/2018 100 45.98 2161.87
01/01/2019 100 44.86 2106.72
01/02/2019 100 43.71 2050.44
01/03/2019 100 42.55 1992.99
01/04/2019 100 41.35 1934.34
01/05/2019 100 40.14 1874.48
01/06/2019 100 38.90 1813.37
01/07/2019 100 37.63 1751.00
01/08/2019 100 36.33 1687.33
01/09/2019 100 35.01 1622.35
01/10/2019 100 33.66 1556.01
01/11/2019 100 32.29 1488.30
01/12/2019 100 30.88 1419.18
01/01/2020 100 29.45 1348.63
01/02/2020 100 27.98 1276.61
01/03/2020 100 26.49 1203.10
01/04/2020 100 24.96 1128.07
01/05/2020 100 23.41 1051.47
01/06/2020 100 21.82 973.29
01/07/2020 100 20.20 893.49
01/08/2020 100 18.54 812.03
01/09/2020 100 16.85 728.88
01/10/2020 100 15.12 644.00
01/11/2020 100 13.36 557.36
01/12/2020 100 11.57 468.93
01/01/2021 100 9.73 378.66
01/02/2021 100 7.86 286.52
01/03/2021 100 5.95 192.46
01/04/2021 100 3.99 96.45
01/05/2021 96.45 0.00 0.00

Have also attached an image showing the formulas for the cells.


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