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In our readings, we studied Craig's decision to buy a car. Craig knows the following two Excel commands that he used during the Quantitative Reasoning Process:PMT(rate, nper, PV, FV)FV(rate, nper, pmt, PV)In step3 of the Quantitative Reasoning Process, quantitative tools, Craig used the following command in Excel:=PMT(0.04/12, 7*12, -5000, 0)The Excel output for this command was $68.34. Which of the following best describes what this output represents?Group of answer choicesIf Craig saves $405.85 per year in an account paying 0.04% interest he will be able to buy a $5000 car in 84 years.The monthly payment on a car loan of $5000, with an interest rate of 0.33% for 7 years, will be $68.34 times 12 (or $820.08 per month).If Craig saves $68.34 per month in an account paying 4% interest he will be able to buy a $5000 car in 7 years.The monthly payment on a car loan of $5000, with an interest rate of 0.04% for 84 months, will be $68.34.The monthly payment on a car loan of $5000 with an interest rate of 4% for 7 years will be $68.

Question

In our readings, we studied Craig's decision to buy a car. Craig knows the following two Excel commands that he used during the Quantitative Reasoning Process:PMT(rate, nper, PV, FV)FV(rate, nper, pmt, PV)In step3 of the Quantitative Reasoning Process, quantitative tools, Craig used the following command in Excel:=PMT(0.04/12, 7*12, -5000, 0)The Excel output for this command was 68.34.Whichofthefollowingbestdescribeswhat thisoutputrepresents?GroupofanswerchoicesIfCraigsaves68.34. Which of the following best describes what this output represents?Group of answer choicesIf Craig saves 405.85 per year in an account paying 0.04% interest he will be able to buy a 5000carin84years.Themonthlypaymentonacarloanof5000 car in 84 years.The monthly payment on a car loan of 5000, with an interest rate of 0.33% for 7 years, will be 68.34times12(or68.34 times 12 (or 820.08 per month).If Craig saves 68.34permonthinanaccountpaying468.34 per month in an account paying 4% interest he will be able to buy a 5000 car in 7 years.The monthly payment on a car loan of 5000,withaninterestrateof0.045000, with an interest rate of 0.04% for 84 months, will be 68.34.The monthly payment on a car loan of 5000withaninterestrateof45000 with an interest rate of 4% for 7 years will be 68.

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Solution

The best description for the output of the Excel command is: The monthly payment on a car loan of 5000withaninterestrateof45000 with an interest rate of 4% for 7 years will be 68.34.

This is because the PMT function in Excel is used to calculate the monthly payment for a loan based on constant payments and a constant interest rate. In this case, the rate is 0.04 (or 4%) divided by 12 to get the monthly interest rate, the number of periods (nper) is 7 years times 12 to get the total number of months, and the present value (PV) of the loan is 5000.Thefuturevalue(FV)is0becausetheloanwillbepaidoffattheendofthe7years.ThenegativesigninfrontofthePVvalueisusedbecausethisisanoutgoingpayment.Theresult,5000. The future value (FV) is 0 because the loan will be paid off at the end of the 7 years. The negative sign in front of the PV value is used because this is an outgoing payment. The result, 68.34, is the amount Craig will need to pay each month to pay off a $5000 loan over 7 years with a 4% annual interest rate.

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