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Penalized Present Value
The Penalized Present Value (PPV) is a method of capital budgeting under risk, where the value of the investment is "penalized" as a function of its risk. It was developed by Fernando Gómez-Bezares in the 1980s. Method PPV is best understood by comparison to two other approaches where a penalty is applied for risk: *The risk-adjusted rate of return applies a risk-penalty by increasing the discount rate when calculating the Net Present Value (NPV); *The certainty equivalent approach does this by adjusting the cash-flow numerators of the NPV formula. Contrasting to both, PPV calculates the average NPV () at the risk-free rate, penalizing it afterwards by subtracting "" standard deviations of the NPV (tσ): PPV= \mu-t\sigma The PPV has many versions, a particularly pragmatic one can be reached by assuming that: (i) we know, ''b'', the maximum or most optimistic NPV; (ii) the minimum or most pessimistic value, ''a''; (iii) these NPVs are approximately normally distributed, and ca ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Capital Budgeting
Capital budgeting in corporate finance, corporate planning and accounting is an area of capital management that concerns the planning process used to determine whether an organization's long term capital investments such as new machinery, replacement of machinery, new plants, new products, and research development projects are worth the funding of cash through the firm's capitalization structures (debt, equity or retained earnings). It is the process of allocating resources for major capital, or investment, expenditures. An underlying goal, consistent with the overall approach in corporate finance, is to increase the value of the firm to the shareholders. Capital budgeting is typically considered a non-core business activity as it is not part of the revenue model or models of most types of firms, or even a part of daily operations. It holds a strategic financial function within a business. One example of a firm type where capital budgeting is possibly a part of the core bu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Fernando Gómez-Bezares
Fernando Gómez-Bezares (born 1956 in Logroño, La Rioja, Spain) is an economist, professor in several universities, and author of numerous publications (books, chapters and articles) in his field. In the 1980s he developed a method of selection of risky investments called Penalized present value (PPV). Biography He studied at the Pious Schools, moving later to study at the University of Deusto, where he earned his Ph.D. in economics and business. He is a full professor at the University of Deusto in Bilbao (Spain), he has been director for more than 30 years of the finance department. He was also dean of the faculty of economics and business, vice-rector and president of the doctoral commission of the university, as well as director of several postgraduate programs. He is a visiting professor at several universities in Europe and America, having been appointed honorary professor of Universidad del Salvador in Buenos Aires (Argentina). In 2021 he was named emeritus professor o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Required Rate Of Return
The discounted cash flow (DCF) analysis, in financial analysis, is a method used Valuation (finance), to value a security (finance), security, project, company, or financial asset, asset, that incorporates the time value of money. Discounted cash flow analysis is widely used in investment finance, real estate developer, real estate development, corporate financial management, and patent valuation. Used in industry as early as the 1700s or 1800s, it was widely discussed in financial economics in the 1960s, and U.S. courts began employing the concept in the 1980s and 1990s. Application In discount cash flow analysis, all future cash flows are estimated and Discounting, discounted by using cost of capital to give their present values (PVs). The sum of all future cash flows, both incoming and outgoing, is the net present value (NPV), which is taken as the value of the cash flows in question; see aside. For further context see ; and for the mechanics see valuation using discoun ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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. The annual interest rate is the rate over a period of one year. Other interest rates apply over different periods, such as a month or a day, but they are usually annualized. The interest rate has been characterized as "an index of the preference . . . for a dollar of present ncomeover a dollar of future income". The borrower wants, or needs, to have money sooner, and is willing to pay a fee—the interest rate—for that privilege. Influencing factors Interest rates vary according to: * the government's directives to the central bank to accomplish the government's goals * the currency of the principal sum lent or borrowed * the term to m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Net Present Value
The net present value (NPV) or net present worth (NPW) is a way of measuring the value of an asset that has cashflow by adding up the present value of all the future cash flows that asset will generate. The present value of a cash flow depends on the interval of time between now and the cash flow because of the Time value of money (which includes the annual effective discount rate). It provides a method for evaluating and comparing capital projects or financial products with cash flows spread over time, as in loans, investments, payouts from insurance contracts plus many other applications. Time value of money dictates that time affects the value of cash flows. For example, a lender may offer 99 cents for the promise of receiving $1.00 a month from now, but the promise to receive that same dollar 20 years in the future would be worth much less today to that same person (lender), even if the payback in both cases was equally certain. This decrease in the current value of future c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Certainty Equivalent
The expected utility hypothesis is a foundational assumption in mathematical economics concerning decision making under uncertainty. It postulates that rational agents maximize utility, meaning the subjective desirability of their actions. Rational choice theory, a cornerstone of microeconomics, builds this postulate to model aggregate social behaviour. The expected utility hypothesis states an agent chooses between risky prospects by comparing expected utility values (i.e., the weighted sum of adding the respective utility values of payoffs multiplied by their probabilities). The summarised formula for expected utility is U(p)=\sum u(x_k)p_k where p_k is the probability that outcome indexed by k with payoff x_k is realized, and function ''u'' expresses the utility of each respective payoff. Graphically the curvature of the u function captures the agent's risk attitude. For example, imagine you’re offered a choice between receiving $50 for sure, or flipping a coin to win $100 i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Risk-free Rate
The risk-free rate of return, usually shortened to the risk-free rate, is the rate of return of a hypothetical investment with scheduled payments over a fixed period of time that is assumed to meet all payment obligations. Since the risk-free rate can be obtained with no risk, any other investment having some risk will have to have a higher rate of return in order to induce any investors to hold it. In practice, to infer the risk-free interest rate in a particular currency, market participants often choose the yield to maturity on a risk-free bond issued by a government of the same currency whose risks of default are so low as to be negligible. For example, the rate of return on zero-coupon Treasury bonds (T-bills) is sometimes seen as the risk-free rate of return in US dollars. Theoretical measurement As stated by Malcolm Kemp in chapter five of his book ''Market Consistency: Model Calibration in Imperfect Markets'', the risk-free rate means different things to different pe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Standard Deviation
In statistics, the standard deviation is a measure of the amount of variation of the values of a variable about its Expected value, mean. A low standard Deviation (statistics), deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range. The standard deviation is commonly used in the determination of what constitutes an outlier and what does not. Standard deviation may be abbreviated SD or std dev, and is most commonly represented in mathematical texts and equations by the lowercase Greek alphabet, Greek letter Sigma, σ (sigma), for the population standard deviation, or the Latin script, Latin letter ''s'', for the sample standard deviation. The standard deviation of a random variable, Sample (statistics), sample, statistical population, data set, or probability distribution is the square root of its variance. (For a finite population, v ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Normal Distribution
In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable. The general form of its probability density function is f(x) = \frac e^\,. The parameter is the mean or expectation of the distribution (and also its median and mode), while the parameter \sigma^2 is the variance. The standard deviation of the distribution is (sigma). A random variable with a Gaussian distribution is said to be normally distributed, and is called a normal deviate. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. Their importance is partly due to the central limit theorem. It states that, under some conditions, the average of many samples (observations) of a random variable with finite mean and variance is itself a random variable—whose distribution c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Capital Budgeting
Capital budgeting in corporate finance, corporate planning and accounting is an area of capital management that concerns the planning process used to determine whether an organization's long term capital investments such as new machinery, replacement of machinery, new plants, new products, and research development projects are worth the funding of cash through the firm's capitalization structures (debt, equity or retained earnings). It is the process of allocating resources for major capital, or investment, expenditures. An underlying goal, consistent with the overall approach in corporate finance, is to increase the value of the firm to the shareholders. Capital budgeting is typically considered a non-core business activity as it is not part of the revenue model or models of most types of firms, or even a part of daily operations. It holds a strategic financial function within a business. One example of a firm type where capital budgeting is possibly a part of the core bu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Investment Fund
An investment fund is a way of investment, investing money alongside other investors in order to benefit from the inherent advantages of working as part of a group such as reducing the risks of the investment by a significant percentage. These advantages include an ability to: * hire professional investment managers, who may offer better returns and more adequate risk management; * benefit from economies of scale, i.e., lower transaction costs; * increase the asset diversification (finance), diversification to reduce some unsystematic risk. It remains unclear whether professional active investment managers can reliably enhance risk adjusted returns by an amount that exceeds fees and expenses of investment management. Terminology varies with country but investment funds are often referred to as investment pools, collective investment vehicles, collective investment schemes, managed funds, or simply funds. The regulatory term is undertaking for collective investment in transferable ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Internal Rate Of Return
Internal rate of return (IRR) is a method of calculating an investment's rate of return. The term ''internal'' refers to the fact that the calculation excludes external factors, such as the risk-free rate, inflation, the cost of capital, or financial risk. The method may be applied either ex-post or ex-ante. Applied ex-ante, the IRR is an estimate of a future annual rate of return. Applied ex-post, it measures the actual achieved investment return of a historical investment. It is also called the discounted cash flow rate of return (DCFROR)Project Economics and Decision Analysis, Volume I: Deterministic Models, M.A.Main, Page 269 or yield rate. Definition (IRR) The IRR of an investment or project is the "annualized effective compounded return rate" or rate of return that sets the net present value (NPV) of all cash flows (both positive and negative) from the investment equal to zero. Equivalently, it is the interest rate at which the net present value of the future cash fl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
