Mathematical finance

Application of mathematical and statistical methods in finance

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We include updates on Kelly criterion, Compound interest, VIX, Interest rate, Modern portfolio theory, Net present value, Rule of 72, High-frequency trading, Compound annual growth rate, Sharpe ratio, Fokker–Planck equation, Black–Scholes equation, Annual percentage rate, Itô calculus, Stochastic differential equation, Value at risk ... and more.

January 2023
High-frequency trading
Citadel Securities was fined ₩11.88 billion ($9.66 million) by South Korea's financial regulator for distorting stock prices using immediate-or-cancel orders and manipulating bid price gaps.
2022
Interest rate
Conclusion of the second zero interest-rate policy period in the United States, marking the end of the monetary response to the COVID-19 pandemic.
2021
Over-the-counter
The pink sheets market came under increased regulatory scrutiny.
2021
VIX
U.S. Securities and Exchange Commission fined S&P Dow Jones Indices for halting data on February 5, 2018.
2020
Financial modeling
ModelOff Financial Modeling World Championships concluded, marking the end of its annual competition series.
2020
High-frequency trading
A hedge fund partner speaks to Bloomberg News about the limitations of shortwave radio bandwidth for transmitting full order book feeds in low-latency trading strategies.
2020
Interest rate
United States reintroduces zero interest-rate policy (ZIRP) in response to the economic challenges caused by the COVID-19 pandemic.
July 2020
High-frequency trading
Citadel Securities was fined $700,000 by FINRA for frontrunning by trading ahead of customer orders.
March 16 2020
VIX
VIX closed at 82.69, the highest level since its inception in 1990.
March 12 2020
VIX
VIX hit and closed at 75.47, exceeding the previous Black Monday value, following President Trump's travel ban to the US from Europe.
March 9 2020
VIX
VIX hit 62.12, the highest level since the 2008 financial crisis, due to the Russia-Saudi Arabia oil price war and COVID-19 pandemic.
2019
Financial modeling
Final year of the ModelOff Financial Modeling World Championships, which had been running annually since 2012.
2019
Low-volatility anomaly
Blitz, Van Vliet, and Baltussen published a further survey exploring explanations for the low-volatility anomaly.
November 7 2019
High-frequency trading
Tower Research was ordered to pay $67.4 million in fines to the COMMODITY FUTURES TRADING COMMISSION (CFTC) to settle allegations of spoofing by three former traders from at least March 2012 through December 2013, and entered into a deferred prosecution agreement with the Justice Department.
September 2019
Volatility
JPMorgan Chase introduced the 'Volfefe index', analyzing the volatility impact of US President Donald Trump's tweets by combining the terms 'volatility' and 'covfefe'.
September 9 2019
Volfefe index
JPMorgan Chase launched the Volfefe index, a financial index designed to track the market volatility potentially caused by President Trump's tweets.
2018
High-frequency trading
The European Union introduced the MiFID II/MiFIR regulation in response to high-frequency trading practices.
2018
Interest rate
By this year, only a few corporate bonds had traded at negative nominal interest rates, highlighting the exceptional nature of this financial phenomenon.
2018 Forbes estimated his net worth at $6.2 billion.
February 12 2018
VIX
A law firm sent a letter to the Commodity Futures Trading Commission and Securities and Exchange Commission representing an anonymous whistleblower alleging manipulation of the VIX.
February 5 2018
VIX
VIX closed at 37.32, up 103.99% from the previous close.
2015
Interest rate
Nestle became a notable example of a corporation with AAA-rated bonds trading at negative nominal interest rates, a rare occurrence in corporate bond markets.
2015
Interest rate
Conclusion of the first zero interest-rate policy period in the United States, ending the monetary response to the 2008 financial crisis.
2014
Low-volatility anomaly
Blitz, Falkenstein, and Van Vliet published a survey article providing an overview of explanations for the low-volatility anomaly in academic literature.
2014
Low-volatility anomaly
Frazzini and Pedersen tested the explanation of leverage and shorting constraints in the low-volatility anomaly.
2014 Elected to the National Academy of Sciences and earned $530 million, ranking among the top 25 earners in the hedge fund industry.
October 2014
High-frequency trading
Athena Capital Research LLC was fined $1 million by U.S. regulators for price manipulation, using $40 million to rig prices of thousands of stocks including eBay through high-speed trading techniques involving complex algorithms and rapid-fire trades.
October 2014
High-frequency trading
Michael Coscia, sole owner of Panther Energy Trading LLC, was charged with six counts of commodities fraud and six counts of 'spoofing' for creating a false impression of market liquidity through high-frequency trading strategies.
September 2014
High-frequency trading
HFT firm Latour Trading LLC agreed to pay a $16 million SEC penalty for underestimating its trading risk and using faulty capital calculations.
October 2013
High-frequency trading
Regulators fined Knight Capital $12 million for a trading malfunction that led to its collapse, citing violations of the SEC's market access rule.
July 2013
High-frequency trading
Panther Energy Trading LLC was ordered to pay $4.5 million to U.S. and U.K. regulators for manipulating commodity markets through high-frequency trading, using computer algorithms that placed and quickly canceled bids and offers in futures contracts.
2012
Financial modeling
First Microsoft-sponsored ModelOff Financial Modeling World Championships initiated, creating an annual competitive event for financial modeling professionals.
2012 Elected to the National Academy of Engineering.
August 2012
High-frequency trading
Knight Capital experienced a significant trading error that caused disturbances in the U.S. stock market, resulting in over $460 million in losses.
March 2012
High-frequency trading
Regulators fined Octeg LLC (Getco's equities market-making unit) $450,000 for violating Nasdaq rules and failing to maintain proper supervision of stock trading activities.
2011
High-frequency trading
HFT companies begin massive investments in microwave infrastructure for data transmission, focusing on key connections like New York City to Chicago and London to Frankfurt, utilizing a network of former US army antennas.
2011
Low-volatility anomaly
Bali, Cakici and Whitelaw tested the 'stocks as lotteries' hypothesis proposed by Barberis and Huang.
2011
Low-volatility anomaly
Baker, Bradley, and Wurgler examined the low-volatility anomaly in relation to market benchmarking.
May 6 2010
High-frequency trading
The Flash Crash occurred, prompting Nasdaq OMX to request an investigation into Octeg LLC's trading activities.

This contents of the box above is based on material from the Wikipedia articles David E. Shaw, Financial modeling, Interest rate, Over-the-counter (finance), Statistical finance, High-frequency trading, VIX, Low-volatility anomaly, Volfefe index, Affine term structure model, Behavioral portfolio theory, Net present value & Volatility (finance), which are released under the Creative Commons Attribution-ShareAlike 4.0 International License.

See Also