Perpetuity
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Perpetuity
A perpetuity is an annuity that has no end, or a stream of cash payments that continues forever. There are few actual perpetuities in existence. For example, the United Kingdom (UK) government issued them in the past; these were known as consols and were all finally redeemed in 2015. Real estate and preferred stock are among some types of investments that affect the results of a perpetuity, and prices can be established using techniques for valuing a perpetuity. Perpetuities are but one of the time value of money methods for valuing financial assets. Perpetuities are a form of ordinary annuities. The concept is closely linked to terminal value and terminal growth rate in valuation. Detailed description A perpetuity is an annuity in which the periodic payments begin on a fixed date and continue indefinitely. It is sometimes referred to as a perpetual annuity. Fixed coupon payments on permanently invested (irredeemable) sums of money are prime examples of perpetuities. Scholar ...
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Present Value
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 zero- or 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 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 a borr ...
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Time Value Of Money
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. It may be seen as an implication of the later-developed concept of time preference. The time value of money is among the factors considered when weighing the opportunity costs of spending rather than saving or investing money. As such, it is among the reasons why interest is paid or earned: interest, whether it is on a bank deposit or debt, compensates the depositor or lender for the loss of their use of their money. Investors are willing to forgo spending their money now only if they expect a favorable net return on their investment in the future, such that the increased value to be available later is sufficiently high to offset both the preference to spending money now and inflation (if present); see required rate of return. History The Talmud (~500 CE) recognizes the time value of money. In Tractate Makkos page 3a the Ta ...
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Terminal Value (finance)
In finance, the terminal value (also known as “continuing value” or “horizon value” or "TV") of a security is the present value ''at a future point in time'' of all future cash flows when we expect stable growth rate forever. It is most often used in multi-stage discounted cash flow analysis, and allows for the limitation of cash flow projections to a several-year period; see Forecast period (finance). Forecasting results beyond such a period is impractical and exposes such projections to a variety of risks limiting their validity, primarily the great uncertainty involved in predicting industry and macroeconomic conditions beyond a few years. Thus, the terminal value allows for the inclusion of the value of future cash flows occurring beyond a several-year projection period while satisfactorily mitigating many of the problems of valuing such cash flows. The terminal value is calculated in accordance with a stream of projected future free cash flows in discounted cash fl ...
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Annuity (finance Theory)
In investment, an annuity is a series of payments made at equal intervals.Kellison, Stephen G. (1970). ''The Theory of Interest''. Homewood, Illinois: Richard D. Irwin, Inc. p. 45 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, monthly, quarterly, yearly, or at any other regular interval of time. Annuities may be calculated by mathematical functions known as "annuity functions". An annuity which provides for payments for the remainder of a person's lifetime is a life annuity. Types Annuities may be classified in several ways. Timing of payments Payments of an ''annuity-immediate'' are made at the end of payment periods, so that interest accrues between the issue of the annuity and the first payment. Payments of an ''annuity-due'' are made at the beginning of payment periods ...
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Perpetual Bond
A perpetual bond, also known colloquially as a perpetual or perp, is a bond with no maturity date, therefore allowing it to be treated as equity, not as debt. Issuers pay coupons on perpetual bonds forever, and they do not have to redeem the principal. Perpetual bond cash flows are, therefore, those of a perpetuity. Perpetual bonds vs. equity * Although similar to equity, perpetual bonds do not have attached votes and, therefore, provide no means of control over the issuer. * Perpetual bonds are still fixed-income securities; therefore, paying coupons is mandatory whereas paying dividends on equity is discretionary. Examples * Consols that were issued by the United States and the UK governments. * The oldest examples of a perpetual bond was issued on 15 May 1624 by the Dutch water board of Lekdijk Bovendams. It is currently in the possession of Yale University and interest was most recently paid by the eventual successor of Lekdijk Bovendams ( Hoogheemraadschap De Stichtse Rijn ...
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Dividend Discount Model
In finance and investing, the dividend discount model (DDM) is a method of valuing the price of a company's stock based on the fact that its stock is worth the sum of all of its future dividend payments, discounted back to their present value. In other words, DDM is used to value stocks based on the net present value of the future dividends. The constant-growth form of the DDM is sometimes referred to as the Gordon growth model (GGM), after Myron J. Gordon of the Massachusetts Institute of Technology, the University of Rochester, and the University of Toronto, who published it along with Eli Shapiro in 1956 and made reference to it in 1959. Their work borrowed heavily from the theoretical and mathematical ideas found in John Burr Williams 1938 book "The Theory of Investment Value," which put forth the dividend discount model 18 years before Gordon and Shapiro. When dividends are assumed to grow at a constant rate, the variables are: P is the current stock price. g is the constant gr ...
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Preferred Stock
Preferred stock (also called preferred shares, preference shares, or simply preferreds) is a component of share capital that may have any combination of features not possessed by common stock, including properties of both an equity and a debt instrument, and is generally considered a hybrid instrument. Preferred stocks are senior (i.e., higher ranking) to common stock but subordinate to bonds in terms of claim (or rights to their share of the assets of the company, given that such assets are payable to the returnee stock bond) and may have priority over common stock (ordinary shares) in the payment of dividends and upon liquidation. Terms of the preferred stock are described in the issuing company's articles of association or articles of incorporation. Like bonds, preferred stocks are rated by major credit rating agencies. Their ratings are generally lower than those of bonds, because preferred dividends do not carry the same guarantees as interest payments from bonds, and becaus ...
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Real Estate Finance
Real estate is property consisting of land and the buildings on it, along with its natural resources such as crops, minerals or water; immovable property of this nature; an interest vested in this (also) an item of real property, (more generally) buildings or housing in general."Real estate": Oxford English Dictionary online: Retrieved September 18, 2011 In terms of law, ''real'' is in relation to land property and is different from personal property while ''estate'' means the "interest" a person has in that land property. Real estate is different from personal property, which is not permanently attached to the land, such as vehicles, boats, jewelry, furniture, tools and the rolling stock of a farm. In the United States, the transfer, owning, or acquisition of real estate can be through business corporations, individuals, nonprofit corporations, fiduciaries, or any legal entity as seen within the law of each U.S. state. History of real estate The natural right of a person t ...
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Jacob Lund Fisker
Jacob Lund Fisker (born 1975) is a Danish astrophysicist and writer. He is known as the author of a philosophy of extreme early retirement that has inspired a lifestyle movement. Fisker's book ''Early Retirement Extreme'' discusses how to become financially independent with a median income. Life Fisker holds a cand.scient. degree in physics and mathematics from Aarhus University, in addition to a PhD in theoretical physics from the University of Basel in Switzerland. While at Aarhus, he received Statens Uddannelsesstøtte, a state education grant that provides Danish university students with a stipend to cover living expenses while enrolled. Even after completing his degrees, Fisker continued to live on a budget corresponding to the SU stipend he received as an undergraduate although his income increased over time. As a postdoc he saved 80% of his income and became financially independent in less than five years. He considered himself retired when he left his astrophysics ...
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Geometric Progression
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the ''common ratio''. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2. Examples of a geometric sequence are powers ''r''''k'' of a fixed non-zero number ''r'', such as 2''k'' and 3''k''. The general form of a geometric sequence is :a,\ ar,\ ar^2,\ ar^3,\ ar^4,\ \ldots where ''r'' ≠ 0 is the common ratio and ''a'' ≠ 0 is a scale factor, equal to the sequence's start value. The sum of a geometric progression terms is called a ''geometric series''. Elementary properties The ''n''-th term of a geometric sequence with initial value ''a'' = ''a''1 and common ratio ''r'' is given by :a_n = a\,r^, and in general :a_n = a_m\,r^. Such a geometric ...
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Systematic Risk
In finance and economics, systematic risk (in economics often called aggregate risk or undiversifiable risk) is vulnerability to events which affect aggregate outcomes such as broad market returns, total economy-wide resource holdings, or aggregate income. In many contexts, events like earthquakes, epidemics and major weather catastrophes pose aggregate risks that affect not only the distribution but also the total amount of resources. That is why it is also known as contingent risk, unplanned risk or risk events. If every possible outcome of a stochastic economic process is characterized by the same aggregate result (but potentially different distributional outcomes), the process then has no aggregate risk. Properties Systematic or aggregate risk arises from market structure or dynamics which produce shocks or uncertainty faced by all agents in the market; such shocks could arise from government policy, international economic forces, or acts of nature. In contrast, specific ris ...
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War Bonds
War bonds (sometimes referred to as Victory bonds, particularly in propaganda) are debt securities issued by a government to finance military operations and other expenditure in times of war without raising taxes to an unpopular level. They are also a means to control inflation by removing money from circulation in a stimulated wartime economy. War bonds are either retail bonds marketed directly to the public or wholesale bonds traded on a stock market. Exhortations to buy war bonds have often been accompanied by appeals to patriotism and conscience. Retail war bonds, like other retail bonds, tend to have a yield which is below that offered by the market and are often made available in a wide range of denominations to make them affordable for all citizens. Before World War I Governments throughout history have needed to borrow money to fight wars. Traditionally they dealt with a small group of rich financiers such as Jakob Fugger and Nathan Rothschild, but no particular distinc ...
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