Interest • Interest • the cost of borrowing money • Principal • the money borrowed • Rate of interest • stated as a percentage and is based on a certain time period Simple Interest • Formula: Interest = Principal * Rate * Time • Example: – What is the interest charged on a $1500 loan @ 10% for 1 year? » $1500 * .10 * 1 = $150 Total Interest Ordinary and Exact Interest • If the loan is for less than one year, use a fraction of a year • Two ways to calculate simple interest: • Ordinary Interest • based on a 360 day per year calendar • assumes 30 days in each month • Exact Interest • based on a 365 day per year calendar Ordinary/Exact Example • Assume you have a $2500 loan at 12% interest for 60 days • What is the ordinary interest you would pay? • Formula: Principal * Rate * Days/360 $2500 * .12 * 60/360 • What is the exact interest you would pay? • Formula: Principal * Rate * Days/365 $2500 * .12 * 60/365 Calculating Days • To calculate the number of days between two dates: • Count the days in the first month excluding the first day • Count the days in each succeeding month Days in Each Month • Use your knuckles March Feb • on the knuckle - 31 days • between the knuckles - 30 days • exception - February June April July • start on the left hand and work your way through your hands using your knuckles and the space between your knuckles May Jan Calendar January 31 July 31 February 28 August 31 March 31 September 30 April 30 October May 31 November 30 June 30 December 31 31 Calculating Days Example • How many days are from July 15 to September 15? • Solution: July (31-15) August September Total Days = 16 = 31 = 15 = 62 Calculating Days Example 2 • From June 10 to September 22 is how many days? • Solution: June July August September Total Days = = = = = Calculating Days Answer • From June 10 to September 22 is how many days? • Solution: June (30 - 10) July August September Total Days = = = = 20 31 31 22 = 104
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