Martingálmértékek és a várható diszkontált jelenérték szabály (Martingale measures and the law of the discounted present value)

A dolgozatban a legegyszerűbb kérdést feszegetjük: Hogyan kell az árakat meghatározni véletlen jövőbeli kifizetések esetén. A tárgyalás némiképpen absztrakt, de a funkcionálanalízis néhány közismert tételén kívül semmilyen más mélyebb matematikai területre nem kell hivatkozni. A dolgozat kérdése, hogy miként indokolható a várható jelenérték szabálya, vagyis hogy minden jövőbeli kifizetés jelen időpontban érvényes ára a jövőbeli kifizetés diszkontált várható értéke. A dologban az egyetlen csavar az, hogy a várható értékhez tartozó valószínűségi mértékről nem tudunk semmit. Csak annyit tudunk, hogy létezik a matematikai pénzügyek legtöbbet hivatkozott fogalma, a misztikus Q mérték. A dolgozat megírásának legfontosabb indoka az volt, hogy megpróbáltam kiiktatni a megengedett portfólió fogalmát a származtatott termékek árazásának elméletéből. Miként közismert, a származtatott termékek árazásának elmélete a fedezés fogalmára épül. (...) ____ In the article the author discusses some problems of the existence of the martingale measure. In continuous time models one should restrict the set of self financing portfolios and introduce the concept of the admissible portfolios. But to define the admissible portfolios one should either define them under the martingale measure or to turn the set of admissible portfolios to a cone which makes the interpretation of the pricing formula difficult.

Perpetual debt valuation: the net present value myopia

Would you prefer to receive a fixed rent for a period of 50 years, 75 years or perpetually? Well, if you have chosen the perpetual option, you are absolutely right. However, when considering a mathematical and financial approach, they may all end up roughly the same whenever the Net Present Value (NPV) is approximately identical. It makes common sense to choose the perpetual option even if the NPV exhibits myopia when computing the discount value of a fixed yearly rent. After a certain period, the discount value becomes approximately the same even when adding more yearly fixed rents. Corporations and governments issue perpetual bonds while recognizing these may not represent a very good financing strategy and thus implying that most of these issues are either callable or convertible on the issuer’s request. In approaching the existing perpetual debt related NPV myopia, this paper holds two main goals: firstly, we intend to study the behaviours of perpetual debt yields against other perpetual instruments and, secondly, we consider the financial methods for assessing the value of money before proposing a formula adjustment that might serve to overcome default NPV when evaluating fixed rents in perpetuity.

Perpetual debt valuation: the net present value myopia

Would you prefer to receive a fixed rent for a period of 50 years, 75 years or perpetually? Well, if you have chosen the perpetual option, you are absolutely right. However, when considering a mathematical and financial approach, they may all end up roughly the same whenever the Net Present Value (NPV) is approximately identical. It makes common sense to choose the perpetual option even if the NPV exhibits myopia when computing the discount value of a fixed yearly rent. After a certain period, the discount value becomes approximately the same even when adding more yearly fixed rents. Corporations and governments issue perpetual bonds while recognizing these may not represent a very good financing strategy and thus implying that most of these issues are either callable or convertible on the issuer’s request. In approaching the existing perpetual debt related NPV myopia, this paper holds two main goals: firstly, we intend to study the behaviours of perpetual debt yields against other perpetual instruments and, secondly, we consider the financial methods for assessing the value of money before proposing a formula adjustment that might serve to overcome default NPV when evaluating fixed rents in perpetuity.

Net Present Value Table – 2% per annum Weeks 1 through 100 Effective June 27, 2014

This table gives the net present value at 2 per cent for weeks 1 through 100.

Net Present Value Table – 2% per annum Weeks 101 through 500 Effective June 27, 2014

This table gives the net present value at 2 per cent for weeks 101 through 500.

Reconciling value estimates from the discounted cash flow model and the residual income model

This paper examines why practitioners and researchers get different estimates of equity value when they use a discounted cash flow (CF) model versus a residual income (RI) model. Both models are derived from the same underlying assumption -- that price is the present value of expected future net dividends discounted at the cost of equity capital -- but in practice and in research they frequently yield different estimates. We argue that the research literature devoted to comparing the accuracy of these two models is misguided; properly implemented, both models yield identical valuations for all firms in all years. We identify how prior research has applied inconsistent assumptions to the two models and show how these seemingly small errors cause surprisingly large differences in the value estimates. [ABSTRACT FROM AUTHOR]

Value and depreciation of mineral resources over the very long run: An empirical contrast of different methods

The paper contrasts empirically the results of alternative methods for estimating thevalue and the depreciation of mineral resources. The historical data of Mexico andVenezuela, covering the period 1920s-1980s, is used to contrast the results of severalmethods. These are the present value, the net price method, the user cost method andthe imputed income method. The paper establishes that the net price and the user costare not competing methods as such, but alternative adjustments to different scenariosof closed and open economies. The results prove that the biases of the methods, ascommonly described in the theoretical literature, only hold under the most restrictedscenario of constant rents over time. It is argued that the difference between what isexpected to happen and what actually did happen is for the most part due to a missingvariable, namely technological change. This is an important caveat to therecommendations made based on these models.

The value of future opportunities: comparison of information technology firms and forest companies

There are several alternatives for valuing the future opportunities of firms. The traditional appraisal methods for single projects such as net present value, internalrate of return and payback rules have been criticized in recent years. It has been said that they do not take into account all growth opportunities of firms. At the company level, business valuation is traditionally based on financial and market information. Yield estimates, net worth values and market values of shares are commonly used. Naturally, all valuation methods have their own strengths and shortcomings. In the background of most estimation rules there is the idea that the future of the firms is quite clear and predictable. However, in recent times the business environment of most companies has changed to a more unpredictable direction and the effects of uncertainty have increased. There has been a growing interest in estimating the risks and values of future possibilities. The aim of the current paper is to describe the difference between the value of futureopportunities in information technology firms and forest companies, and also toanalyse the backgrounds for the observed gap.

Exploring the economic value of personal information from firms' financial statements

Currently personal data gathering in online markets is done on a far larger scale and much cheaper and faster than ever before. Within this scenario, a number of highly relevant companies for whom personal data is the key factor of production have emerged. However, up to now, the corresponding economic analysis has been restricted primarily to a qualitative perspective linked to privacy issues. Precisely, this paper seeks to shed light on the quantitative perspective, approximating the value of personal information for those companies that base their business model on this new type of asset. In the absence of any systematic research or methodology on the subject, an ad hoc procedure is developed in this paper. It starts with the examination of the accounts of a number of key players in online markets. This inspection first aims to determine whether the value of personal information databases is somehow reflected in the firms’ books, and second to define performance measures able to capture this value. After discussing the strengths and weaknesses of possible approaches, the method that performs best under several criteria (revenue per data record) is selected. From here, an estimation of the net present value of personal data is derived, as well as a slight digression into regional differences in the economic value of personal information.

Lies, damned lies and politics:Air NZ's real value

The government has reinvested in Air New Zealand only a fraction of the present value of what it received for the airline in 1989, argues ALAN LOWE

There exists circularity between WACC and value? Another solution.

Although we know there exists a simple approach to solve the circularity between value and the discount rate, known as the Adjusted Present Value proposed by Myers, 1974, it seems that practitioners still rely on the traditional Weighted Average Cost of Capital, WACC approach of weighting the cost of debt, Kd and the cost of equity, Ke and discounting the Free Cash Flow, FCF. We show how to solve circularity when calculating value with the free cash flow, FCF and the WACC. As a result of the solution we arrive at a known solution when we assume the discount rate of the tax equity: the capital cash flow, CCF discounted at Ku. When assuming Kd as the discount rate for the tax savings, we find an expression for calculating value that does not implies circularity. We do this for a single period and for N periods.

The (9)Be((8)Li, (9)Be)(8)Li elastic-transfer reaction

Angular distributions for the (9)Be((8)Li, (9)Be) (8)Li elastic-transfer reaction have been measured with a 27-MeV (8)Li radioactive nuclear beam. Spectroscopic factors for the <(9)Be vertical bar(8)Li + p > bound system were obtained from the comparison between the experimental differential cross sections and finite-range distorted-wave Born approximation calculations made with the code FRESCO. The spectroscopic factors so obtained are compared with shell-model calculations and other experimental values. Using the present value for the spectroscopic factors, cross sections and reaction rates for the (8)Li(p,gamma) (9)Be direct proton-capture reaction of astrophysical interest were calculated in the framework of the potential model.

Tax Cost of Investment Projects: the case of ICMS credits

This article discusses the impact on the profitability of firms under Complementary Law 102/2000 (which abrogated the Law 89/96 - Kandir Law) allowing the appropriation of ICMS credits, due to investment in fixed assets goods, at a ratio of 1/48 per month. The paper seeks to demonstrate how this new system - which resulted in the transformation of the ICMS as a value added tax (VAT) consumption-type to an income-type - leads to a loss of approximately 30% of the value of credits to be recovered and the effect it generates on the cost of investment and the profits for small, medium and large firms. From the methodological point of view, it is a descriptive and quantitative research, which proceeded in three stages. Initially, we have obtained estimated value of net sales and volume of investments, based on report Painel de Competitividade prepared by the Federacao das Indtustrias do Estado de Sao Paulo (Fiesp/Serasa). Based on this information, it was possible to obtain estimates of the factors of generation of debits and credits for ICMS, using the model Credit Control of Fixed Assets (CIAP). Finally, we have calculated three indicators: (i) present value of debt recovery/value of credits, (ii) present value of debt recovery / investment value, (iii) present value of debt recovery / sales profitability. We have conclude that the system introduced by Complementary Law 102/2000 implicates great opportunity cost for firms and that legislation should be reviewed from this perspective, aiming to ensure lower costs associated with investment projects.

Introduction to Discounted Cash Flow Analysis and Financial Functions in Excel

The financial and economic analysis of investment projects is typically carried out using the technique of discounted cash flow (DCF) analysis. This module introduces concepts of discounting and DCF analysis for the derivation of project performance criteria such as net present value (NPV), internal rate of return (IRR) and benefit to cost (B/C) ratios. These concepts and criteria are introduced with respect to a simple example, for which calculations using MicroSoft Excel are demonstrated.

Uso do VPA: uma ferramenta melhor para a avaliação de operações

Uma das práticas mais difundidas para a avaliação de ativos operacionais é o fluxo de caixa descontado, ou FCD. Contudo, uma das versões mais comumente aceitas de FCD, o custo médio ponderado de capital, ou WACC no original inglês, tornou-se obsoleta. Este artigo discute uma metodologia alternativa ao WACC, chamada de VPA (valor presente ajustado), ou APV (adjusted present value), em inglês. O artigo mostra que essa metodologia apresenta vantagens superiores quando comparada ao WACC, especificamente pelo fato de oferecer mais informações de relevância administrativa, a um índice menor de erro, ajudando os executivos a analisar não só quanto vale um ativo, mas também a origem de seu valor.