Mathematical finance

Incomplete markets

In economics, incomplete markets are markets in which there does not exist an Arrow–Debreu security for every possible state of nature. In contrast with complete markets, this shortage of securities will likely restrict individuals from transferring the desired level of wealth among states. An Arrow security purchased or sold at date t is a contract promising to deliver one unit of income in one of the possible contingencies which can occur at date t + 1. If at each date-event there exists a complete set of such contracts, one for each contingency that can occur at the following date, individuals will trade these contracts in order to insure against future risks, targeting a desirable and budget feasible level of consumption in each state (i.e. consumption smoothing). In most set ups when these contracts are not available, optimal risk sharing between agents will not be possible. For this scenario, agents (homeowners, workers, firms, investors, etc.) will lack the instruments to insure against future risks such as employment status, health, labor income, prices, among others. (Wikipedia).

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(The Lost Episodes) Perfectly Competitive Factor and Output Markets

The first of four cases for a firm operating in a factor market, this looks at a firm that competes with many other firms not only to sell its product, but to purchase its resources. "(THE LOST EPISODES) Perfectly Competitive Factor and Output Markets" by Dr. Mary J. McGlasson is licensed

From playlist Microeconomics modules

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Understanding How Prices Work in a Free Market

Now that we know about supply and demand, we are ready to talk about prices, and how they dictate the dynamics of a free market economy. Free markets lead to an efficient distribution of resources, however there are exceptions, such as with imperfect competition and monopolies, so let's ma

From playlist Economics

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(THE LOST EPISODES) Market Structures for Buyers

I'm starting some new videos that weren't planned for in the original series -- topics that I haven't been able to cover in my regular classes in any detail for a while. In this video, I take a quick look at the idea of different market structures on the BUYERS' side of the market, rather

From playlist Microeconomics modules

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(THE LOST EPISODES) Factor Market Overview

In a factor market, you can be BOTH a buyer (of resources) AND a seller (of output). "(THE LOST EPISODES) Factor Market Overview" by Dr. Mary J. McGlasson is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

From playlist Microeconomics modules

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The Dawn of Capitalism

It’s sometimes easy to think that we’ve run out of stuff to make and sell one another. Far from it: Capitalism is still very undeveloped. We’re only at its very dawn. If you like our films take a look at our shop (we ship worldwide): http://www.theschooloflife.com/shop/all/ Please subs

From playlist WORK + CAPITALISM

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Market Prologue

This video is a precursor to the market experiment we'll be doing in class. "Market Prologue" by Dr. Mary J. McGlasson is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

From playlist Microeconomics modules

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Marie-Claire Quenez: European and american optionsin a non-linear incomplete market with default

HYBRID EVENT Recorded during the meeting "Advances in Stochastic Control and Optimal Stopping with Applications in Economics and Finance" the September 12, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video a

From playlist Probability and Statistics

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4 5 Fundamental theorems of asset pricing Part 1

BEM1105x Course Playlist - https://www.youtube.com/playlist?list=PL8_xPU5epJdfCxbRzxuchTfgOH1I2Ibht Produced in association with Caltech Academic Media Technologies. ©2020 California Institute of Technology

From playlist BEM1105x Course - Prof. Jakša Cvitanić

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4 6 Fundamental theorems of asset pricing Part 2

BEM1105x Course Playlist - https://www.youtube.com/playlist?list=PL8_xPU5epJdfCxbRzxuchTfgOH1I2Ibht Produced in association with Caltech Academic Media Technologies. ©2020 California Institute of Technology

From playlist BEM1105x Course - Prof. Jakša Cvitanić

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Mathematics of Electricity Costs

In this video from the 2013 SIAM Annual Meeting, Alejandro Jofré of Universidad de Chile considers a wholesale electricity market model with generators interacting strategically and general networks including externalities such as transmission losses. Previous work shows how mechanisms suc

From playlist What is math used for?

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8 2 Stochastic Volatility Part 2

BEM1105x Course Playlist - https://www.youtube.com/playlist?list=PL8_xPU5epJdfCxbRzxuchTfgOH1I2Ibht Produced in association with Caltech Academic Media Technologies. ©2020 California Institute of Technology

From playlist BEM1105x Course - Prof. Jakša Cvitanić

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Episode 27B: Deadweight Loss from Monopoly

This video shows more formally how society as a whole loses under a monopoly vs. a competitive market. "EPISODE 27B: Deadweight Loss from Monopoly" by Dr. Mary J. McGlasson is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

From playlist Microeconomics modules

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From playlist Marketing Analytics for Beginners

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Addyi Isn't that Effective, and it Isn't Selling Very Well

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From playlist Healthcare Triage News

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Too Soon?!? - The Challenges of Early Builds and Game Demos - Extra Credits

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From playlist Extra Credits (ALL EPISODES)

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Accelerating Use of the Digital Medical Record with Optimized Structured & Unstructured Data

Clinical data in its raw form is incredibly challenging to use. The inherent variation in source documentation, wide range of terminologies, and fragmented storage of data across the healthcare system all contribute to its complexity. Clinical data, however, can also be an incredible, str

From playlist Healthcare NLP Summit 2022

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Bonus Livestream Session - Ethereum Basics

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From playlist English Subtitles - aantonop Videos with subtitles in English

Related pages

Complete market | Arrow–Debreu model | Equity premium puzzle | Event (probability theory) | Agent (economics) | Information asymmetry | Stochastic | Frictionless market | Intertemporal choice