Corey buys 10 Tuff lift 4-post, 4.5-ton car hoists for his parking garage at a total cost of $410,000. He finances this with a five-year loan at 6.2% APR with monthly payments. After he has made the first 20 payments, how much is the outstanding principal balance on his loan

Respuesta :

Answer:

$291,707

Explanation:

Here first we need to determine the monthly payments using the "PMT" function in excel. The inputs are: rate = 7%/12, nper = 5 years*12 = 60 and PV = 414,000

Thus PMT(7%/12, 60, 414000) = $8,197.70

Now let's make a loan amortization table as shown below:

Month  Loan left         Monthly  Interest      Principal                  Loan balan

             at the start    payment                                                       at the end

             of the month                                                                    of the month.

  1. 414,000.00 8,197.70    2,415.00      5,782.70                   408,217

 2.   408,217.30 8,197.70    2,381.27      5,816.43                   402,401

3.    402,400.88 8,197.70    2,347.34      5,850.36                   396,551

4. 396,550.52 8,197.70    2,313.21      5,884.48                  390,666

5. 390,666.03 8,197.70    2,278.89      5,918.81                   384,747

6. 384,747.22 8,197.70    2,244.36      5,953.34                   378,794

7. 378,793.88 8,197.70    2,209.63      5,988.07                  372,806

8. 372,805.82 8,197.70    2,174.70      6,023.00                   366,783

9.    366,782.82 8,197.70    2,139.57      6,058.13                  360,725

10. 360,724.69 8,197.70    2,104.23      6,093.47                   354,631         11. 354,631.22 8,197.70    2,068.68      6,129.01                  348,502

12.  348,502.21 8,197.70    2,032.93      6,164.77                   342,337

13.  342,337.44 8,197.70    1,996.97      6,200.73                    336,137

14.  336,136.72 8,197.70    1,960.80      6,236.90                  329,900

15.  329,899.82 8,197.70    1,924.42      6,273.28                   323,627

16.  323,626.54 8,197.70    1,887.82      6,309.87                     317,317

17.  317,316.66 8,197.70    1,851.01      6,346.68                   310,970

18.  310,969.98 8,197.70    1,813.99      6,383.70                  304,586

19.  304,586.28 8,197.70    1,776.75      6,420.94                   298,165

20.  298,165.33 8,197.70    1,739.30      6,458.40                   291,707

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