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...Fundamentals of finance fahmi ben abdelkader www fbenabdelkader com perpetuities and annuities derivation shortcut formulas outline perpetuity formula the mathematical pv using law one price annuity growing for encompasses all other page a is stream equal cash flows that occur at regular intervals last ever c present value p with payment interest r given by you may recognize this from calculus classes as geometric progression where z positive constant less than x sum recall such series actually has closed form solution can then be written to derive we calculate creating our own suppose could invest in bank account paying per year forever also withdraw reinvest every doing create must same cost incurred let s generalize an amount leaving principal receiving upfront ordinary n paid period finite...