Carmen’s Beauty Salon has estimated monthly financing requirements for the next six months as follows: January $ 10,200 April $ 10,200 February 4,200 May 11,200 March 5,200 June 6,200 Short-term financing will be utilized for the next six months. Projected annual interest rates are: January 6 % April 13 % February 7 May 12 March 10 June 12
a. Compute total dollar interest payments for the six months. (Round your monthly interest rate to 2 decimal places when expressed as a percent. Round your interest payments to the nearest whole cent.) Total Dollar Interest Payments
b-1. Compute the total dollar interest payments if long-term financing at 12 percent had been utilized throughout the six months? (Round your monthly interest rate to 2 decimal places when expressed as a percent. Round your interest payments to the nearest whole cent.) Total Dollar Interest Payments
b-2. If long-term financing at 12 percent had
been utilized throughout the six months, would the total-dollar
interest payments be larger or smaller than with the short-term
financing plan?
Larger | |
Smaller |
a).
Month | Rate |
Monthly Rate |
Amount Financed |
Monthly Interest |
January | 6% | 0.5% | $10,200 | $51 |
February | 7% | 0.58% | $ 4,200 | $24.50 |
March | 10% | 0.83% | $ 5,200 | $43.33 |
April | 13% | 1.08% | $10,200 | $110.50 |
May | 12% | 1% | $11,200 | $112 |
June | 12% | 1% | $ 6,200 | $62 |
Total | $403.33 |
b-1).
Month | Rate |
Monthly Rate |
Amount Financed |
Monthly Interest |
January | 12% | 1% | $10,200 | $102 |
February | 12% | 1% | $ 4,200 | $ 42 |
March | 12% | 1% | $ 5,200 | $ 52 |
April | 12% | 1% | $10,200 | $102 |
May | 12% | 1% | $11,200 | $112 |
June | 12% | 1% | $ 6,200 | $62 |
Total | $472 |
b-2). Total dollar interest payments would be larger under the long-term financing plan.
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