mathematics

Jakša Cvitanić

Jakša Cvitanić is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Jakša Cvitanić rather than just read about it. In short: Jakša Cvitanić (born 1962 in Split, Croatia, Yugoslavia) is a Richard N. Merkin Professor of Mathematical Finance at the California Institute of Technology.

Key takeaways

Jakša Cvitanić belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Jakša Cvitanić to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Jakša Cvitanić from memory before moving on to harder problems.

Reference excerpt

Jakša Cvitanić (born 1962 in Split, Croatia, Yugoslavia) is a Richard N. Merkin Professor of Mathematical Finance at the California Institute of Technology. His main research interests are in mathematical finance, contract theory, stochastic control theory, and stochastic differential equations. From 1992 to 1999 he was an Assistant and Associate Professor of Statistics at Columbia University. From 1999 until 2005, when he joined Caltech, Cvitanić was a Professor of Mathematics and Economics at the University of Southern California. During the academic year 2012–2013 he was a professor of finance at EDHEC Business School in France. He was also the director of the Ronald and Maxine Linde Institute of Economic and Management Sciences. and the president of the Bachelier Finance Society. Cvitanić has co-authored some fundamental papers on financial markets with portfolio constraints, transaction costs, and other market imperfections. He is the author of over fifty articles in academic finance, economics and mathematics journals,[1], a co-author, with Fernando Zapatero, of the textbook Introduction to the Economics and Mathematics of Financial Markets, and, with Jianfeng Zhang, of the monograph Contract Theory in Continuous-time Models. He was or has been a co-editor of Finance and Stochastics [2], Mathematical Finance, Mathematics and Financial Economics [3] and Frontiers of Mathematical Finance. Cvitanić earned a B.Sc. (1985) and M.Sc. (1988) in Mathematics from the University of Zagreb, Croatia, and a PhD in Statistics (1992) from Columbia University in New York City. He received the American Statistical Association Scholastic Excellence Award in 1992.

Selected publications Introduction to the Economics and Mathematics of Financial Markets (with Fernando Zapatero). Cambridge, Mass.: MIT Press, 2004. ISBN 0-262-53265-4. Contract Theory in Continuous-Time Models (with Jianfeng Zhang). Springer Science+Business Media, 2013. ISBN 978-3-642-14200-0.

References

Further reading "Computational Finance Expert Joins Math Department". news.usc.edu. October 25, 1999. Retrieved July 7, 2017.

External links Cvitanic's web site, caltech.edu Research papers, ideas.repec.org Portal hrvatskih znanstvenika Archived 2006-08-29 at the Wayback Machine (out of date)

Worked examples

Example 1 — a first encounter with Jakša Cvitanić

Start with the simplest possible case. Write down what Jakša Cvitanić claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Jakša Cvitanić before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Jakša Cvitanić ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Jakša Cvitanić

In research: Jakša Cvitanić appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Jakša Cvitanić in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Jakša Cvitanić is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1962 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Jakša Cvitanić outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Jakša Cvitanić in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Jakša Cvitanić means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Jakša Cvitanić out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Jakša Cvitanić in simple terms?

Jakša Cvitanić (born 1962 in Split, Croatia, Yugoslavia) is a Richard N. Merkin Professor of Mathematical Finance at the California Institute of Technology.

Why does Jakša Cvitanić matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Jakša Cvitanić?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Jakša Cvitanić.