Fifty Years of Black-Scholes and the Quant Revolution

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Fifty Years of Black-Scholes and the Quant
Revolution
1973
Financial engineering: article review
Siddhartha Pratim Chakrabarty, IIM Calcutta, December 2023
The year quantitative finance took off

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About the source
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The text
The author
Why this text
"Fifty Years of Black-Scholes and
the Quant Revolution: A
Viewpoint". Six pages, a₹tha
magazine, IIM Calcutta, December
2023.
Prof. Siddhartha Pratim
Chakrabarty, IIT Guwahati: a
specialist in mathematical finance,
risk management and algorithmic
trading.
It covers pricing, hedging, portfolio
theory and risk regulation, the
core toolkit of a financial engineer,
and looks ahead to new trends.
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1973: the turning point
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1973
A closed-form formula
The price of a European option from parameters known at
the start of the contract.
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A scientific framework
Pricing theory for options, derivatives, credit instruments
and insurance.
Black, Scholes and Merton
publish two papers on option
pricing
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The birth of the "quants"
Mathematicians and physicists poured into finance.
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How option pricing works
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The option
The premium
Replication
Risk-neutral pricing
The right, but not the
obligation, to buy (call) or
sell (put) an asset at a fixed
price.
The holder pays the writer
an up-front price. This is the
cost of leverage.
The writer builds and
rebalances a replicating
portfolio funded by the
premium.
The price is the expected
payoff under a risk-neutral
probability.
Why write an option at all? The writer has an obligation but no right, so the premium compensates the risk.
American option: exercise any time before expiry. European option: exercise only at expiry.
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Portfolio theory and risk management
Modern portfolio theory
The Basel framework
Return and risk are the two pillars of investing (Markowitz,
1952)
Began with credit risk, then added market and operational
risk
Efficient frontier and CAPM, extended by Sharpe, Lintner
and Tobin
After the 2008 crisis: liquidity and leverage rules
Basel III in force; Basel IV rolling out from 2023
The Sharpe ratio is still a key benchmark
1952
Markowitz publishes "Portfolio
Selection"
72.5%
of standardised-model capital
required by 2027
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Three trends shaping the future
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High-frequency trading
Sustainable finance
FinTech
Move from open outcry to
electronic markets
UN Principles for Responsible
Investment, 2005
Data science and AI in financial
services
Strategies: pairs trading,
arbitrage, mean reversion
ESG scores from rating firms
such as MSCI
Blockchain to fix slow crossborder payments
Effect on liquidity is still
debated
Climate risk is entering the
Basel framework
Crypto and CBDCs: privacy and
scalability are open
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Key takeaways
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Black-Scholes turned option pricing into rigorous mathematics and launched the
quant industry.
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Portfolio theory and Basel rules make risk measurable and regulated.
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High-frequency trading, sustainable finance and FinTech are the next frontier, but
they face gaps in skills, industry adoption and policy.

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New terms and expressions
derivative
efficient frontier
a contract whose value depends on an underlying asset
portfolios with the best return for a given risk
call / put option
Sharpe ratio
the right to buy / the right to sell at a fixed price
excess return per unit of risk
premium
hedge fund
the up-front price the holder pays the option writer
a fund using derivatives, leverage and short selling
writer
algorithmic trading
the seller of an option, who takes on the obligation
automated, program-based execution of trades
replicating portfolio
limit order book
assets that reproduce the payoff of an option
the list of buy and sell limit orders at an exchange
risk-neutral probability
ESG
a measure used to price a contingent claim
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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