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Problem 5-42 (similar to) ​ (Nonannual compounding using a calculator​) Jesse Pinkman is thinking about trading...

Problem 5-42 (similar to) ​

(Nonannual compounding using a calculator​) Jesse Pinkman is thinking about trading cars. He estimates he will still have to borrow ​$30,000 to pay for his new car. How large will​ Jesse's monthly car loan payment be if he can get a 7 ​-year ​(84 equal monthly​ payments) car loan from the​ university's credit union at an APR of 7.6 percent compounded​ monthly? ​

Jesse's monthly car loan payment will be ​$___. ​(Round to the nearest​ cent.)

Solutions

Expert Solution

Monthly car payment [P×r×(1+r)^n]÷[(1+r)^n-1]
Here,
1 Interest rate per annum 7.60%
2 Number of years                                                                                                          7
3 Number of compoundings per per annum                                                                                                       12
4 = 1÷3 Interest rate per period ( r) 0.63%
5 = 2×3 Number of periods (n) 84
Loan amount (P) $                                                                                           30,000
Monthly car payment $                                                              461.63
30000*0.63%*(1+0.63%)^84)/((1+0.63%)^84-1)

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