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You can do it with a regular calculator and calendar as long as you know (a) the interest rate, and (b) the amount and dates of each of the repayments.
Here's how:
1. Start with the amount lent and the date it was lent.
2. Take the annual interest rate (say, 10%) and divide by 365 to get a daily rate.
3. Count how many days there were between the date the money was lent and the date of the first repayment.
5. Multiply the amount lent (from step 1) by the number of days (from step 3) by the daily rate (from step 2). That's the interest owed.
6. Calculate the new amount owed by taking the amount lent (from step 1) plus the interest owed (from step 5) minus the amount repaid.
7. Repeat with subsequent payments.
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"At times the world can seem an unfriendly and sinister place, but believe us when we say there is much more good in it than bad. All you have to do is look hard enough, and what might seem to be a series of unfortunate events, may in fact be the first steps of a journey." Violet Baudelaire.
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