Question

In: Accounting

13) The following table shows annual rates for various types of loans in 2015. Assume monthly...

13)

The following table shows annual rates for various types of loans in 2015. Assume monthly payments and compounding periods. HINT [See Examples 5 and 7.]

Loan
Type

30-Year
Mortgage

15-Year
Mortgage

5-Year
Car Loan

4-Year
Car Loan

Credit
Cards

October
Rate (%)

3.93

3.14

4.30

4.24

13.10

November
Rate (%)

4.09

3.31

4.31

4.26

13.10

December
Rate (%)

4.09

3.34

4.34

4.29

13.10

You currently owe $9000 on your credit card, which charges interest at the October 2015 rate. What is the least you need to pay per month to pay off the card in 5 years? (Round your answer to the nearest cent.)

$

Solutions

Expert Solution

@ the rate of interest of 13.1 % 9000 USD will be paid in 60 equal monthly installments (5 years). The monthly installment amount is USD 205. Below is the calculations for your reference (example of 8 months is given.

month date Amount owed (balance as on date Interest @ 13.1% Monthly payment towards principal
1 Oct-15                      9,000                                98            205            107
2 Nov-15                      8,893                                97            205            108
3 Dec-15                      8,785                                96            205            109
4 Jan-16                      8,676                                95            205            110
5 Feb-16                      8,566                                94            205            111
6 Mar-16                      8,454                                92            205            113
7 Apr-16                      8,342                                91            205            114
8 May-16                      8,228                                90            205            115
Total payouts                          3,320      12,300         8,980


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