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Calculate a weekly payment on a loan when payment is a month away
Using the standard loan formula with 21% APR nominal, compounded weekly. Calculate an adjusted loan start value by adding 31 - 7 = 24 extra days of daily interest (by converting the nominal compounded weekly rate to a daily rate). For details see Converting between compounding frequencies Applying the standard formula r (pv)/(1 - (1 + r)^-n) = 189.80 So every weekly payment will be 189.80 Alternatively Directly arriving at the same result by using the loan formula described here,  The extension x is 31 - 7 = 24 daily fractions of an average week (where 7 daily fractions of an average week equal one average week). As before, the weekly payment will be 189.80 Both methods are effectively the same calculation.