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  2. Planar graph - Wikipedia

    en.wikipedia.org/wiki/Planar_graph

    In general, if the property holds for all planar graphs of f faces, any change to the graph that creates an additional face while keeping the graph planar would keep v – e + f an invariant. Since the property holds for all graphs with f = 2, by mathematical induction it holds for all cases.

  3. Present value - Wikipedia

    en.wikipedia.org/wiki/Present_value

    The present value of a perpetuity can be calculated by taking the limit of the above formula as n approaches infinity. =. Formula (2) can also be found by subtracting from (1) the present value of a perpetuity delayed n periods, or directly by summing the present value of the payments

  4. Time value of money - Wikipedia

    en.wikipedia.org/wiki/Time_value_of_money

    The present value formula is the core formula for the time value of money; each of the other formulas is derived from this formula. For example, the annuity formula is the sum of a series of present value calculations. The present value (PV) formula has four variables, each of which can be solved for by numerical methods:

  5. Net present value - Wikipedia

    en.wikipedia.org/wiki/Net_present_value

    Adjusted present value (APV): adjusted present value, is the net present value of a project if financed solely by ownership equity plus the present value of all the benefits of financing. Accounting rate of return (ARR): a ratio similar to IRR and MIRR; Cost-benefit analysis: which includes issues other than cash, such as time savings.

  6. Euler characteristic - Wikipedia

    en.wikipedia.org/wiki/Euler_characteristic

    The Euler characteristic can be defined for connected plane graphs by the same + formula as for polyhedral surfaces, where F is the number of faces in the graph, including the exterior face. The Euler characteristic of any plane connected graph G is 2.

  7. Present value interest factor - Wikipedia

    en.wikipedia.org/wiki/Present_value_interest_factor

    In economics, Present value interest factor, also known by the acronym PVIF, is used in finance theory to refer to the output of a calculation, used to determine the monthly payment needed to repay a loan. The calculation involves a number of variables, which are set out in the following description of the calculation:

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  9. Valuation (finance) - Wikipedia

    en.wikipedia.org/wiki/Valuation_(finance)

    This method estimates the value of an asset based on its expected future cash flows, which are discounted to the present (i.e., the present value). This concept of discounting future money is commonly known as the time value of money. For instance, an asset that matures and pays $1 in one year is worth less than $1 today.