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The Mathematics of Finance [PDF]
, 2014 Among the difficulties faced by the earliest emerging civilizations was the need for record keeping. Because we have a written language, record keeping is easy enough for us, but the earliest civilizations did not have that tool. Archaeological evidence indicates that the invention of written language was contemporaneous with the development of ...
Steven G. Krantz, Harold R. Parks
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Aspects of Mathematical Finance
2008Introduction: Some Aspects of Mathematical Finance (Marc Yor). -Financial Uncertainty, Risk Measures and Strong Preferences (Hans Follmer). -The Notion of Arbitrage and Free Lunch in Mathematical Finance (Walter Schachermayer). -Dynamic Financial Risk Management (Pauline Barrieu and Nicole El Karoui).
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The Mathematics of Finance [PDF]
, 2013 Most readers have some idea of the mathematics of finance, but will be surprised by what they do not know. In this chapter we look at simple and compound interest, the mathematics of compounding, and define the annual percentage rate (the one lenders tell you about) and annual percentage yield (the one you actually pay). Geometric growth is introduced.
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The fuzzy mathematics of finance
Fuzzy Sets and Systems, 1987This paper develops fuzzy analogues of the elementary compound interest problems in the mathematics of finance. We find the fuzzy present value and fuzzy future value of fuzzy cash amounts, using fuzzy interest rates, over n periods where n may be crisp or fuzzy. This paper also develops a method of comparing fuzzy net cash flows in order to rank fuzzy
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Mathematics of Quantitative Finance
Oberwolfach Reports, 2018The workshop on Mathematics of Quantitative Finance, organised at the Mathematisches Forschungsinstitut Oberwolfach from 26 February to 4 March 2017, focused on cutting edge areas of mathematical finance, with an emphasis on the applicability of the new techniques and models presented by the participants.
Antoine Jacquier +2 more
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2008
Two major forces that characterize the field of finance are time and risk. These forces are incorporated in the following basic principles of finance: a dollar today is worth more than a dollar tomorrow, and a safe dollar is better than a risky dollar.
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Two major forces that characterize the field of finance are time and risk. These forces are incorporated in the following basic principles of finance: a dollar today is worth more than a dollar tomorrow, and a safe dollar is better than a risky dollar.
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Application to Mathematical Finance
1998In this chapter we describe how the concepts, methods and results in the previous chapters can be applied to give a rigorous mathematical model of finance. We will concentrate on the most fundamental issues and those topics which are most closely related to the theory in this book.
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Notions of Mathematical Finance
2013The present notes deal with topics of computational finance, with focus on the analysis and implementation of numerical schemes for pricing derivative contracts. There are two broad groups of numerical schemes for pricing: stochastic (Monte Carlo) type methods and deterministic methods based on the numerical solution of the Fokker–Planck (or Kolmogorov)
Christoph Winter +3 more
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The American Mathematical Monthly, 1947
M. A. Hill, G. F. Rose, J. B. Linker
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M. A. Hill, G. F. Rose, J. B. Linker
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2020
Some optimal control problems of Financial Mathematics are presented. In particular, selected problems of optimal pricing and optimal portfolios in a given financial market are considered.
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Some optimal control problems of Financial Mathematics are presented. In particular, selected problems of optimal pricing and optimal portfolios in a given financial market are considered.
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