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how does simple interest work
you get paid/charged interest on the principal only
how does compound interest work
you get paid/charged interest on the principal and any accumulated interest
simple interest formula
.

compound interest formula
top bit shows how we got there, bottom bit (yellow) is the formula

which is most commonly used
compound interest
does compound interest always outperform simple interest
no, if you are investing for less than one time period then simple is better

show the formula for the present value of a cashflow CT under compound interest
uses the expression for compound interest from earlier

show the formula for the present value of a cashflow CT under simple interest
uses the expression for simple interest from earlier

the bigger the future cashflow (CT)…
…the bigger the present cashflow (C0)
the bigger T is…
…the smaller the present cashflow
the bigger r is…
…the smaller the present cashflow