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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.
This is a return of US$20,000 divided by US$100,000, which equals 20 percent. The US$20,000 is paid in 5 irregularly-timed installments of US$4,000, with no reinvestment, over a 5-year period, and with no information provided about the timing of the installments. The rate of return is 4,000 / 100,000 = 4% per year.
In finance, the weighted-average life (WAL) of an amortizing loan or amortizing bond, also called average life, [1][2][3] is the weighted average of the times of the principal repayments: it's the average time until a dollar of principal is repaid. In a formula, [4] where: is the time (in years) from the calculation date to payment . If desired ...
Example of the optimal Kelly betting fraction, versus expected return of other fractional bets. In probability theory, the Kelly criterion (or Kelly strategy or Kelly bet) is a formula for sizing a sequence of bets by maximizing the long-term expected value of the logarithm of wealth, which is equivalent to maximizing the long-term expected geometric growth rate.
Determine company's return on capital = EBIT / (net fixed assets + working capital). Rank all companies above chosen market capitalization by highest earnings yield and highest return on capital (ranked as percentages). Invest in 20–30 highest ranked companies, accumulating 2–3 positions per month over a 12-month period.
The 5% Value at Risk of a hypothetical profit-and-loss probability density function. Value at risk (VaR) is a measure of the risk of loss of investment/Capital. It estimates how much a set of investments might lose (with a given probability), given normal market conditions, in a set time period such as a day. VaR is typically used by firms and ...
In economics and finance, present value (PV), also known as present discounted value, is the value of an expected income stream determined as of the date of valuation.The present value is usually less than the future value because money has interest-earning potential, a characteristic referred to as the time value of money, except during times of negative interest rates, when the present value ...
Annuity. In investment, an annuity is a series of payments made at equal intervals. [1] Examples of annuities are regular deposits to a savings account, monthly home mortgage payments, monthly insurance payments and pension payments. Annuities can be classified by the frequency of payment dates. The payments (deposits) may be made weekly ...