This book is a final year undergraduate text on stochastic processes, a tool used widely by statisticians and researchers working, for example, in the mathematics of finance. The book will give a detailed treatment of conditional expectation and probability, a topic which is essential as a tool for stochastic processes. Although the book is a final year text, the authors have chosen to use exercises as the main means of explanation for the various topics, hence the course has a strong self-study element.
Chapter 8 - Mathematics of finance: An introduction to basic concepts and calculations. In this chapter, you will learn: Differentiate between simple and compound interest rate calculations, differentiate between nominal and effective interest rate calculations, calculate present and future values of cash flows, calculate the yield of a security, calculate the present value of an annuity.
A First Course in Discrete Mathematics I. Anderson Analytic Methods for Partial Differential Equations G. Evans, J. Blackledge, P. Yardley Applied Geometry for Computer Graphics and CAD D. Marsh Basic Linear Algebra, Second Edition T.S. Blyth and E.F. Robertson Basic Stochastic Processes Z. Brze´ niak and T. Zastawniak z Elementary Differential Geometry A. Pressley Elementary Number Theory G.A. Jones and J.M. Jones Elements of Abstract Analysis M. Ó Searcóid Elements of Logic via Numbers and Sets D.L. Johnson...
This book is intended primarily for students on economics, business studies and management
courses. It assumes very little prerequisite knowledge, so it can be read by students who have
not undertaken a mathematics course for some time. The style is informal and the book contains
a large number of worked examples. Students are encouraged to tackle problems for
themselves as they read through each section. Detailed solutions are provided so that all
answers can be checked.
The CBOE normally sets the strike prices for its options so that they are spaced
$2.50, $5 or $10 apart. Stocks at lower prices have smaller spaces between strike
prices. When options with a new expiration date are introduced, the CBOE
usually introduces two or three options with strikes nearest to the current stock
price. If the price moves outside this range, new strikes may be introduced. For
example, if new October options are offered on a stock currently priced at $84,
then options striking at $80, $85 and $90 might be created.
Finance is one of the fastest growing areas in the modern banking and corporate world. This, together with the sophistication of modern financial products, provides a rapidly growing impetus for new mathematical models and modern mathematical methods. Indeed, the area is an expanding source for novel and relevant "real-world" mathematics. In this book, the authors describe the modeling of financial derivative products from an applied mathematician's viewpoint, from modeling to analysis to elementary computation.
Solve Two of the Toughest Problems When
Preparing for the Stockbroker’s Exam
Those wishing to become licensed as stockbrokers must
pass the series 7 examination. This exam, known officially
as the General Securities Registered Representative
Examination, is very rigorous. Traditionally, students
without a financial background have a difficult time with
the mathematical calculations peculiar to the world of
stocks, bonds, and options. Many are also relatively unfa-
miliar with proper use of the calculator and thus are dou-
bly hampered in their efforts to become registered.
This work gives an overview of core topics in the “investment” side of finance, stressing
the quantitative aspects of the subject. The presentation is at a moderately sophisticated
level that would be appropriate for masters or early doctoral students in
economics, engineering, finance, and mathematics. It would also be suitable for advanced
and well motivated undergraduates-provided they are adequately prepared
in math, probability, and statistics.
Copula Methods in Finance is the first book to address the mathematics of copula functions illustrated with finance applications. It explains copulas by means of applications to major topics in derivative pricing and credit risk analysis. Examples include pricing of the main exotic derivatives (barrier, basket, rainbow options) as well as risk management issues. Particular focus is given to the pricing of asset-backed securities and basket credit derivative products and the evaluation of counterparty risk in derivative transactions....
This book reports initial efforts in providing some useful extensions in financial
modeling; further work is necessary to complete the research agenda.
The demonstrated extensions in this book in the computation and modeling
of optimal control in finance have shown the need and potential for further
areas of study in financial modeling. Potentials are in both the mathematical
structure and computational aspects of dynamic optimization. There are needs
for more organized and coordinated computational approaches.
Pag-IBIG Overseas Program. Several public and private entities offer
transnational loans for a variety of purposes. The Philippine government’s
Pag-IBIG Overseas Program, for example, allows overseas Filipino workers
to access short-term loans under the Multi-Purpose Loan Program (to
help finance members’ immediate medical, educational, or livelihood
needs; minor home improvements including the purchase of furniture and
appliances; and other related needs) and the Calamity Loan Program (for
those in need of financing due a recent calamity).
Chapter 3 - The time value of money: An introduction to financial mathematics. In this chapter, you will learn: Understand and solve problems involving simple interest and compound interest, including accumulating, discounting and making comparisons using the effective interest rate; value, as at any date, contracts involving multiple cash flows; distinguish between different types of annuity and calculate their present and future values.
Chapter 4 - Applying the time value of money to security valuation. Use the tools of financial mathematics to value debt and equity securities, apply the dividend growth model to value ordinary shares, explain the main differences between the valuation of ordinary shares based on dividends and earnings,...
Statistics and mathematics underlie the theories of finance. Probability Theory and various distribution types are important to understanding finance. Risk management, for instance, depends on tools such as variance, standard deviation, correlation, and regression analysis. Financial analysis methods such as present values and valuing streams of payments are fundamental to understanding the time value of money and have been in practice for centuries.
This book will teach you how to bring together what you know
of finance, accounting, and the spreadsheet to give you a new
skill—building financial models. The ability to create and unde
stand models is one of the most valued skills in business an
finance today. It’s an expertise that will stand you in good stea
in any arena—Wall Street or Main Street—where numbers ar
important. Whether you are a veteran, just starting out on you
career, or still in school, having this expertise can give you
competitive advantage in what you want to do....
The aim of this book is to bring students of economics and finance who have only an introductory background in mathematics up to a quite advanced level in the subject, thus preparing them for the core mathematical demands of econometrics, economic theory, quantitative finance and mathematical economics, which they are likely to encounter in their final-year courses and beyond. The level of the book will also be useful for those embarking on the first year of their graduate studies in Business, Economics or Finance.
In this book I present classical quantitative finance. The book is suitable for students on
advanced undergraduate finance and derivatives courses, MBA courses, and graduate
courses that are mainly taught, as opposed to ones that are based on research. The
text is quite self-contained, with, I hope, helpful sidebars (‘Time Out’) covering the more
mathematical aspects of the subject for those who feel a little bit uncomfortable. Little prior
knowledge is assumed, other than basic calculus, even stochastic calculus is explained
here in a simple, accessible way.
Clearly and elegantly presented, Mathematical Methods in Science and Engineering provides a coherent treatment of mathematical methods, bringing advanced mathematical tools to a multidisciplinary audience. The growing interest in interdisciplinary studies has brought scientists from many disciplines such as physics, mathematics, chemistry, biology, economics, and finance together, which has increased the demand for courses in upper-level mathematical techniques.
English for Careers Finance 1 gives you the language, information, and skills you need to start your career or work towards the ICFE (International Certificate in Financial English exams. Learn the English you need to do the job, practise language in real work situations, and learn specialist vocabulary on every page.
This is an intermediate level post-calculus text on mathematical and statistical
methods, directed toward the needs of chemists. It has developed out of a
course that I teach at the University of Massachusetts Dartmouth for thirdyear
undergraduate chemistry majors and, with additional assignments, for
chemistry graduate students.