If you borrow $9000 at an annual percentage rate (APR) of r (as a decimal) from a bank, and if you wish to pay off the loan in 3 years, then your monthly payment M (in dollars) can be calculated using: M = 9000 (er/12-1) / 1 - e-3r 1) Describe what M (0.035) would represent in terms of the loan, APR, and time. 2) If you are only able to afford a max monthly payment of $300, describe how you could use the above formula to figure out what the highest interest rate the bank could offer you and you would still be able to afford the monthly payments. In addition, determine the maximum interest rate that you could afford.
If you borrow $9000 at an annual percentage rate (APR) of r (as a decimal) from a bank, and if you wish to pay off the loan in 3 years, then your monthly payment M (in dollars) can be calculated using: M = 9000 (er/12-1) / 1 - e-3r 1) Describe what M (0.035) would represent in terms of the loan, APR, and time. 2) If you are only able to afford a max monthly payment of $300, describe how you could use the above formula to figure out what the highest interest rate the bank could offer you and you would still be able to afford the monthly payments. In addition, determine the maximum interest rate that you could afford.
Chapter4: Time Value Of Money
Section4.17: Amortized Loans
Problem 1ST
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If you borrow $9000 at an annual percentage rate (APR) of r (as a decimal) from a bank, and if you wish to pay off the loan in 3 years, then your monthly payment M (in dollars) can be calculated using:
M = 9000 (er/12-1) / 1 - e-3r
1) Describe what M (0.035) would represent in terms of the loan, APR, and time.
2) If you are only able to afford a max monthly payment of $300, describe how you could use the above formula to figure out what the highest interest rate the bank could offer you and you would still be able to afford the monthly payments. In addition, determine the maximum interest rate that you could afford.
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