This link from the Insurance Institute of India explains the concepts of simple interest, compound interest, present value or discounted value and accumulated value of investments. The concepts have been explained mathematically by Professor J Kulkarni. The concepts of effective and nominal rate of interest have been also expressed mathematically. Have a look to gain a solid insight!!
https://www.youtube.com/watch?v=dz_ia8A2_gY
https://www.youtube.com/watch?v=dz_ia8A2_gY
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