Discounted Present Value
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Discounted 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 cas ...
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Present Value
In economics and finance, present value (PV), also known as present discounted value (PDV), 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 will be equal or more than the future value. Time value can be described with the simplified phrase, "A dollar today is worth more than a dollar tomorrow". Here, 'worth more' means that its value is greater than tomorrow. A dollar today is worth more than a dollar tomorrow because the dollar can be invested and earn a day's worth of interest, making the total accumulate to a value more than a dollar by tomorrow. Interest can be compared to Renting, rent. Just as rent is paid to a landlord by a tenant without the ownership of the asset being transferred, interest is paid to a lender by ...
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Financial Accounting
Financial accounting is a branch of accounting concerned with the summary, analysis and reporting of financial transactions related to a business. This involves the preparation of Financial statement audit, financial statements available for public use. Shareholder, Stockholders, vendor (supply chain), suppliers, banks, employees, government agencies, business owners, and other stakeholder (corporate), stakeholders are examples of people interested in receiving such information for decision making purposes. Financial accountancy is governed by both local and international accounting standards. Generally Accepted Accounting Principles (GAAP) is the standard framework of guidelines for financial accounting used in any given jurisdiction. It includes the standards, conventions and rules that accountants follow in recording and summarizing and in the preparation of financial statements. On the other hand, International Financial Reporting Standards (IFRS) is a set of accounting st ...
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Financial Theory
Finance refers to monetary resources and to the study and discipline of money, currency, assets and liabilities. As a subject of study, is a field of Business Administration wich study the planning, organizing, leading, and controlling of an organization's resources to achieve its goals. Based on the scope of financial activities in financial systems, the discipline can be divided into personal, corporate, and public finance. In these financial systems, assets are bought, sold, or traded as financial instruments, such as currencies, loans, bonds, shares, stocks, options, futures, etc. Assets can also be banked, invested, and insured to maximize value and minimize loss. In practice, risks are always present in any financial action and entities. Due to its wide scope, a broad range of subfields exists within finance. Asset-, money-, risk- and investment management aim to maximize value and minimize volatility. Financial analysis assesses the viability, stability, and ...
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RNPV
In finance, risk-adjusted net present value (rNPV) or expected net existing value (eNPV) is a method to value risky future cash flows. rNPV is the standard valuation method in the drug development industry, where sufficient data exists to estimate success rates for all R&D phases.Stewart JJ et alPutting a Price on Biotechnology Nature Biotechnology. 2001. 19:5 A similar technique is used in the probability model of credit default swap (CDS) valuation. rNPV modifies the standard NPV calculation of discounted cash flow (DCF) analysis by adjusting (multiplying) each cash flow by the estimated probability that it occurs (the estimated success rate). In the language of probability theory, the rNPV is the expected value. Note that this in contrast to the more general valuation approach, where risk is instead incorporated by adding a risk premium A risk premium is a measure of excess return that is required by an individual to compensate being subjected to an increased level of risk. ...
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Yield Curve
In finance, the yield curve is a graph which depicts how the Yield to maturity, yields on debt instruments – such as bonds – vary as a function of their years remaining to Maturity (finance), maturity. Typically, the graph's horizontal or x-axis is a time line of months or years remaining to maturity, with the shortest maturity on the left and progressively longer time periods on the right. The vertical or y-axis depicts the annualized yield to maturity. Those who issue and trade in forms of debt, such as loans and bonds, use yield curves to determine their value. Shifts in the shape and slope of the yield curve are thought to be related to investor expectations for the economy and interest rates. Ronald Melicher and Merle Welshans have identified several characteristics of a properly constructed yield curve. It should be based on a set of securities which have differing lengths of time to maturity, and all yields should be calculated as of the same point in time. Al ...
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Weighted Average Cost Of Capital
The weighted average cost of capital (WACC) is the rate that a company is expected to pay on average to all its security holders to finance its assets. The WACC is commonly referred to as the firm's cost of capital. Importantly, it is dictated by the external market and not by management. The WACC represents the minimum return that a company must earn on an existing asset base to satisfy its creditors, owners, and other providers of capital, or they will invest elsewhere.Fernandes, Nuno. 2014, Finance for Executives: A Practical Guide for Managers, p. 32. Companies raise money from a number of sources: common stock, preferred stock and related rights, straight debt, convertible debt, exchangeable debt, employee stock options, pension liabilities, executive stock options, governmental subsidies, and so on. Different securities, which represent different sources of finance, are expected to generate different returns. The WACC is calculated taking into account the relative weights ...
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Geometric Series
In mathematics, a geometric series is a series (mathematics), series summing the terms of an infinite geometric sequence, in which the ratio of consecutive terms is constant. For example, 1/2 + 1/4 + 1/8 + 1/16 + ⋯, the series \tfrac12 + \tfrac14 + \tfrac18 + \cdots is a geometric series with common ratio , which converges to the sum of . Each term in a geometric series is the geometric mean of the term before it and the term after it, in the same way that each term of an arithmetic series is the arithmetic mean of its neighbors. While Ancient Greek philosophy, Greek philosopher Zeno's paradoxes about time and motion (5th century BCE) have been interpreted as involving geometric series, such series were formally studied and applied a century or two later by Greek mathematics, Greek mathematicians, for example used by Archimedes to Quadrature of the Parabola, calculate the area inside a parabola (3rd century BCE). Today, geometric series are used in mathematical finance, calculati ...
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Opportunity Cost
In microeconomic theory, the opportunity cost of a choice is the value of the best alternative forgone where, given limited resources, a choice needs to be made between several mutually exclusive alternatives. Assuming the best choice is made, it is the "cost" incurred by not enjoying the ''benefit'' that would have been had if the second best available choice had been taken instead. The '' New Oxford American Dictionary'' defines it as "the loss of potential gain from other alternatives when one alternative is chosen". As a representation of the relationship between scarcity and choice, the objective of opportunity cost is to ensure efficient use of scarce resources. It incorporates all associated costs of a decision, both explicit and implicit. Thus, opportunity costs are not restricted to monetary or financial costs: the real cost of output forgone, lost time, pleasure, or any other benefit that provides utility should also be considered an opportunity cost. Types Expl ...
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Discounted
In finance, discounting is a mechanism in which a debtor obtains the right to delay payments to a creditor, for a defined period of time, in exchange for a charge or fee.See "Time Value", "Discount", "Discount Yield", "Compound Interest", "Efficient Market", "Market Value" and "Opportunity Cost" in Downes, J. and Goodman, J. E. ''Dictionary of Finance and Investment Terms'', Baron's Financial Guides, 2003. Essentially, the party that owes money in the present purchases the right to delay the payment until some future date.See "Discount", "Compound Interest", "Efficient Markets Hypothesis", "Efficient Resource Allocation", "Pareto-Optimality", "Price", "Price Mechanism" and "Efficient Market" in Black, John, ''Oxford Dictionary of Economics'', Oxford University Press, 2002. This transaction is based on the fact that most people prefer current interest to delayed interest because of mortality effects, impatience effects, and salience effects. The discount, or charge, is the di ...
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Yield (finance)
In finance, the yield on a security is a measure of the ex-ante return to a holder of the security. It is one component of return on an investment, the other component being the change in the market price of the security. It is a measure applied to fixed income securities, common stocks, preferred stocks, convertible stocks and bonds, annuities and real estate investments. There are various types of yield, and the method of calculation depends on the particular type of yield and the type of security. Fixed income securities The coupon rate (or nominal rate) on a fixed income security is the interest that the issuer agrees to pay to the security holder each year, expressed as a percentage of the security's principal amount (par value). The current yield is the ratio of the annual interest (coupon) payment and the bond's market price. The yield to maturity is an estimate of the total rate of return anticipated to be earned by an investor who buys a bond at a given market p ...
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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 ...
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Fair Price
In accounting, fair value is a rational and unbiased estimate of the potential market price of a good, service, or asset. The derivation takes into account such objective factors as the costs associated with production or replacement, market conditions and matters of supply and demand. Subjective factors may also be considered such as the risk characteristics, the cost of and return on capital, and individually perceived utility. Economic understanding Market price There are two schools of thought about the relation between the market price and fair value in any form of market, but especially with regard to tradable assets: * The efficient-market hypothesis asserts that, in a well organized, reasonably transparent market, the market price is generally equal to or close to the fair value, as investors react quickly to incorporate new information about relative scarcity, utility, or potential returns in their bids; see also Rational pricing. * Behavioral finance asserts tha ...
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