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To determine the exact time,

date of payment: May 6, 2015 126 + 365 = 491

date of the loan: Nov. 12, 2014 316

175 days

The Ordinal of Each Day of the Year

If two transaction dates are given, the following simple interests can be computed:

1. ordinary simple interest for exact time

2. ordinary simple interest for approximate time

3. exact simple interest for exact time

4. exact simple interest for approximate time

EXAMPLE 1

Determine the approximate and the exact time between Nov. 12, 2014 and May 6, 2015.

APPROXIMATE TIME

year month day

date of payment May 6, 2015 2015 5 6

date of loan Nov. 12, 2014 2014 11 12

5 24

thus,

approximate time = 5(30)days + 24days

= 150days + 24days

= 174days

EXACT TIME

2014 Nov 18 (30 - 12 = 18)

Dec 31

2015 Jan 31

Feb 28

Mar 31

Apr 30

May 6

175 days

EXACT TIME AND APPROXIMATE TIME