Financial_Engineering_Presentation (1)

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Fifty Years of Black-Scholes and the Quant Revolution
Financial engineering: article review
Source: Siddhartha Pratim Chakrabarty, IIM Calcutta, December 2023
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About the source
The text
"Fifty Years of Black-Scholes and the Quant Revolution: A Viewpoint", six pages, a₹tha magazine, Indian Institute of
Management Calcutta, December 2023.
Well over the required 5,000 printed signs.
The author
Prof. Siddhartha Pratim Chakrabarty, Indian Institute of Technology Guwahati.
His areas: mathematical finance, derivatives pricing, risk management, algorithmic and high-frequency trading.
Why I chose it
It covers the core toolkit of a financial engineer: pricing, hedging, portfolio theory and risk regulation.
It also looks ahead to the new trends of the profession.
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1973: the turning point
Two papers on option pricing
In 1973 Black and Scholes, and independently Merton, published seminal papers on option pricing.
Theories of option pricing existed before, but Black-Scholes presented the formula in a precise and rigorous way.
Why it mattered
A closed-form formula gave the price of a European option from parameters known at the start of the contract.
It offered a scientifically credible framework for pricing derivatives, credit instruments and insurance.
It brought geometric Brownian motion and the work of Louis Bachelier into the mainstream.
It attracted many mathematicians and physicists into finance as "quants".
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How option pricing works
Basic terms
An option gives the holder the right, but not the obligation, to buy (call) or sell (put) an underlying asset at a fixed price.
American option: can be exercised any time before expiry. European option: only at expiry.
The writer has an obligation without a right, so the holder pays an up-front premium.
Key ideas
Replication strategy: the writer builds a replicating portfolio, continuously rebalanced, funded by the premium. Its value
always equals the writer's liability at expiry.
Risk-neutral probability: the option price is the expected value of the payoff in a risk-neutral probability space.
Replication is the basis of hedging, a risk-management approach.
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Portfolio theory and risk management
Modern portfolio theory
Markowitz (1952) identified return and risk as the two pillars of investment theory.
Sharpe, Lintner and Tobin extended it: efficient frontier and the Capital Asset Pricing Model (CAPM).
The mathematics is accessible: basic matrix theory and optimization. The Sharpe ratio is still a key performance
benchmark.
The Basel framework
Banks moved from traditional lending towards investment banking, so risk management became essential.
Basel rules began with credit risk, then added market and operational risk.
After the 2008 crisis, liquidity and leverage rules were introduced. Basel III is in force; Basel IV is rolling out from January
2023.
By 2027 banks must hold at least 72.5% of the capital given by the standardised model.
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Three current trends
High-frequency trading
Hedge funds use derivatives, leverage and short selling. Markets moved from open outcry to electronic trading.
Algorithmic strategies: pairs trading, delta-neutral portfolios, arbitrage, mean reversion. The effect on liquidity is still
debated.
Sustainable finance
UN Principles for Responsible Investment (2005); assets under management now in the trillions of dollars.
ESG scores from firms such as MSCI vary a lot; green bonds and climate risk are entering the Basel framework.
FinTech
Data science and AI; blockchain and distributed ledgers can fix slow, error-prone cross-border payments.
Cryptocurrencies and central bank digital currencies face challenges of privacy, operability and scalability.
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Conclusion
Main points
Black-Scholes turned option pricing into rigorous mathematics and launched the quant industry.
Portfolio theory and Basel rules make risk measurable and regulated.
The quant industry has grown faster than most sectors of the economy.
Open challenges for new areas
Human resources: education has not caught up with high-frequency trading, sustainable finance and FinTech.
Industry adoption: many pain points in FinTech and little clarity in sustainable finance.
Policy: global rules and implementation, especially for climate risk.
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New terms and expressions
derivative: a contract whose value depends on an
underlying asset
efficient frontier: portfolios with the best return for a given
risk
call / put option: the right to buy / the right to sell at a fixed
price
Sharpe ratio: excess return per unit of risk
premium: the up-front price the holder pays to the option
writer
hedge fund: a fund that uses derivatives, leverage and short
selling
writer: the seller of an option, who takes on the obligation
algorithmic trading: automated, program-based execution
of trades
replicating portfolio: assets that reproduce the payoff of an
option
limit order book: the list of buy and sell limit orders at an
exchange
risk-neutral probability: a measure used to price a
contingent claim
ESG: environmental, social and governance criteria
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Summary of the source (handout)
The article "Fifty Years of Black-Scholes and the Quant Revolution: A Viewpoint" by Siddhartha Pratim Chakrabarty (IIM
Calcutta, December 2023) reviews how quantitative finance developed after 1973, when Black, Scholes and Merton
published their option-pricing work. An option gives its holder the right, but not the obligation, to buy (call) or sell (put) an
asset at a fixed price. Black and Scholes derived a closed-form formula for European options based on a replicating portfolio,
which led to risk-neutral probability. The author also covers Markowitz's portfolio theory, the efficient frontier, CAPM and
the Sharpe ratio, and shows how Basel regulations expanded from credit risk to market, operational, liquidity and leverage
risk after the 2008 crisis. In the second half, he names three current trends: high-frequency and algorithmic trading,
sustainable finance with ESG scoring, and FinTech based on blockchain and digital currencies. He concludes that these areas
still face challenges in human resources, industry adoption and policy. For a financial engineer, the text shows that pricing,
risk management and innovation all rest on mathematical models, and that the field keeps changing quickly.
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Sources
Chakrabarty, S. P. (2023). Fifty Years of Black-Scholes and the Quant Revolution: A Viewpoint. a₹tha, Indian Institute of Management
Calcutta, December 2023, pp. 14–19. https://www.iimcal.ac.in/FinLab/email-template8/pdf/Siddhartha-Pratim-Chakrabarty.pdf
Works cited in the article:
Black, F. and Scholes, M. (1973). The Pricing of Options and Corporate Liabilities. Journal of Political Economy, 81(3), 637–654.
Merton, R. (1973). Theory of Rational Option Pricing. Bell Journal of Economics and Management Science, 4(1), 141–183.
Markowitz, H. (1952). Portfolio Selection. The Journal of Finance, 7(1), 77–91.
Basel Committee on Banking Supervision. The Basel Framework. https://www.bis.org/basel_framework/
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