A loan of $20,000 is being paid by installments of $1,000 at the end of each six-month period and a smaller final payment made half a year after the last regular payment. The interest rate for the loan is a nominal interest rate of 6% convertible semiannually. Find the outstanding loan balance when the borrower has made payments equal to 75% of the original amount of the loan.

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Retirement investment advisors, inc., has just offered you an annual interest rate of 4.4 percent until you retire in 40 years. you believe that interest rates will increase over the next year and you would be offered 5 percent per year one year from today. if you plan to deposit $13,000 into the account either this year or next year, how much more will you have when you retire if you wait one year to make your deposit?