Asked by Tristan Zuidema on Jun 14, 2024

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Four years ago John borrowed $3,000 from Arlette. The principal with interest at 10% compounded semi-annually is to be repaid six years from the date of the loan. Fifteen months ago, John borrowed another $1,500 for 3½ years at 9% compounded quarterly. John is now proposing to settle both debts with two equal payments to be made 2 and 3½ years from now. What should the payments be if money now earns 8% compounded quarterly?

Compounded Semi-Annually

Describes the method of determining interest by applying it to both the original amount of money invested or loaned and any interest that has already been added to that amount, occurring two times annually.

Compounded Quarterly

Interest on an investment or loan is calculated four times a year, with each calculation including the interest from previous periods.

Equal Payments

Consistent payment amounts made regularly over a period, typical in loans and annuities.

  • Comprehend and utilize the principle of time value of money across different scenarios.
  • Ascertain the current and prospective value of singular and multiple monetary flows.
  • Comprehend the economic consequences of repaying liabilities ahead of or beyond the planned timeline.
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BM
Branden MillanJun 16, 2024
Final Answer :
$3,917.24