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  2. Interest - Wikipedia

    en.wikipedia.org/wiki/Interest

    Interest. In finance and economics, interest is payment from a debtor or deposit-taking financial institution to a lender or depositor of an amount above repayment of the principal sum (that is, the amount borrowed), at a particular rate. [ 1]

  3. Time value of money - Wikipedia

    en.wikipedia.org/wiki/Time_value_of_money

    Time value of money. The present value of $1,000, 100 years into the future. Curves represent constant discount rates of 2%, 3%, 5%, and 7%. The time value of money is the widely accepted conjecture that there is greater benefit to receiving a sum of money now rather than an identical sum later.

  4. Continuous-repayment mortgage - Wikipedia

    en.wikipedia.org/wiki/Continuous-repayment_mortgage

    Define the "reverse time" variable z = T − t.(t = 0, z = T and t = T, z = 0).Then: Plotted on a time axis normalized to system time constant (τ = 1/r years and τ = RC seconds respectively) the mortgage balance function in a CRM (green) is a mirror image of the step response curve for an RC circuit (blue).The vertical axis is normalized to system asymptote i.e. perpetuity value M a /r for ...

  5. Interest rate - Wikipedia

    en.wikipedia.org/wiki/Interest_rate

    An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited, or borrowed (called the principal sum). The total interest on an amount lent or borrowed depends on the principal sum, the interest rate, the compounding frequency, and the length of time over which it is lent, deposited, or borrowed.

  6. Day count convention - Wikipedia

    en.wikipedia.org/wiki/Day_count_convention

    In finance, a day count convention determines how interest accrues over time for a variety of investments, including bonds, notes, loans, mortgages, medium-term notes, swaps, and forward rate agreements (FRAs). This determines the number of days between two coupon payments, thus calculating the amount transferred on payment dates and also the ...

  7. Exponential decay - Wikipedia

    en.wikipedia.org/wiki/Exponential_decay

    Exponential decay. A quantity undergoing exponential decay. Larger decay constants make the quantity vanish much more rapidly. This plot shows decay for decay constant ( λ) of 25, 5, 1, 1/5, and 1/25 for x from 0 to 5. A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.

  8. Initial value problem - Wikipedia

    en.wikipedia.org/wiki/Initial_value_problem

    Initial value problem. In multivariable calculus, an initial value problem[ a] ( IVP) is an ordinary differential equation together with an initial condition which specifies the value of the unknown function at a given point in the domain. Modeling a system in physics or other sciences frequently amounts to solving an initial value problem.

  9. Ordinary differential equation - Wikipedia

    en.wikipedia.org/wiki/Ordinary_differential_equation

    t. e. In mathematics, an ordinary differential equation ( ODE) is a differential equation (DE) dependent on only a single independent variable. As with other DE, its unknown (s) consists of one (or more) function (s) and involves the derivatives of those functions. [ 1] The term "ordinary" is used in contrast with partial differential equations ...