If it is 10.24% (per month), then the APR is 222%, but if it's 10.24% compounded monthly, then APR is 10.7345%
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The question cannot be answered. 1.094171 monthly is not equivalent to 2.25 APR. So the question contains inconsistent information.
total cost= monthly payment [1-(1+APR)to the power of -n/APR
8% compounded monthly is equivalent to an annual rate of approx 152% . 8.5% compounded six monthly is equivalent to "only" 17.72% so the first is clearly larger.
<?php $month = 360; //How many month you have for payment $monthlyPayment = 671.96; //Your monthly payment $moneyBorrowed = 99000; //How much you borrowed $totalPaid = $month * $monthlyPayment; //Number of months * Monthly payment $APRequ = $moneyBorrowed / $totalPaid; //Money Borrowed * Total money paid back $APRMonthly = abs($APRequ-1); //Returns the absolute value of the monthly APR $APR = $APRMonthly * 12; // Monthly APR to get Yearly APR echo $APR; ?>
APR stands for annual percentage rate. That being the case, it does not matter whether the interest is compounded every day or every millisecond. The effect, at the end of a year is interest equal to 2.25 percent. So, 2000 at 2.25 percent compounded, for 4 years = 2000*(1.0225)4 = 2000*1.093083 = 2186.17