Question

In: Finance

3. Mr. Smart borrowed $4,000 from a bank on annuity for 1.5 years at 12% annual...

3. Mr. Smart borrowed $4,000 from a bank on annuity for 1.5 years at 12% annual interest compounded and payable quarterly (every three months). Calculate the semiannual payments and provide a table that shows periodic payment, balance, interest payment, payment to principal for each payment as well as total amount which Mr. Smart will pay to the bank for the borrowed amount including interest and principal payments in the entire period of two years.

Solutions

Expert Solution

Loan Amount $4,000
Time Period 1.5
Quarters 6
Interest 12% pa
Quarterly Interest rate 3%

The EMI Schedule is as follows:

Quarters O/s Princ Interest Closing Semi annual Payments
1 $4,000            667 $120 $3,333                                1,553
2 $3,333            667 $100 $2,667
3 $2,667            667 $80 $2,000                                1,473
4 $2,000            667 $60 $1,333
5 $1,333            667 $40 $667                                1,393
6 $667            667 $20 $0
        4,000           420                                4,420

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