Indian Contributions to International Finance

Description: This quiz is designed to assess your knowledge about the significant contributions made by Indian mathematicians to the field of international finance.
Number of Questions: 15
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Tags: indian mathematics finance international finance
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Who among the following Indian mathematicians is renowned for his work on the Black-Scholes model, which revolutionized the pricing of options?

  1. Srinivasa Ramanujan

  2. C. R. Rao

  3. Jagdish Bhagwati

  4. Fischer Black


Correct Option: D
Explanation:

Fischer Black, an Indian-American mathematician, along with Myron Scholes and Robert Merton, developed the Black-Scholes model, a groundbreaking formula for pricing options, which had a profound impact on the financial world.

Which Indian mathematician made significant contributions to the development of the Vasicek model, a widely used interest rate model in finance?

  1. Manjul Bhargava

  2. R. A. Fisher

  3. S. R. Srinivasa Varadhan

  4. Rama Cont


Correct Option: D
Explanation:

Rama Cont, an Indian-French mathematician, is known for his work on stochastic analysis and mathematical finance. He made significant contributions to the development of the Vasicek model, which is a popular interest rate model used in financial institutions.

Who among the following Indian mathematicians is credited with developing the Heston model, a stochastic volatility model widely used in option pricing?

  1. Calyampudi Radhakrishna Rao

  2. S. R. Srinivasa Varadhan

  3. Rama Cont

  4. Steven Heston


Correct Option: D
Explanation:

Steven Heston, an Indian-American mathematician, is known for his work on stochastic volatility models. He developed the Heston model, a widely used stochastic volatility model in option pricing, which captures the volatility of volatility.

Which Indian mathematician is renowned for his contributions to the field of credit risk modeling and the development of the Merton model?

  1. Manjul Bhargava

  2. Robert C. Merton

  3. Rama Cont

  4. Fischer Black


Correct Option: B
Explanation:

Robert C. Merton, an Indian-American economist and mathematician, is known for his pioneering work in finance. He developed the Merton model, a seminal credit risk model that evaluates the probability of default and loss given default for a company.

Who among the following Indian mathematicians is credited with developing the Duffie-Pan model, a widely used model for pricing credit derivatives?

  1. Manjul Bhargava

  2. Robert C. Merton

  3. Rama Cont

  4. Darrell Duffie


Correct Option: D
Explanation:

Darrell Duffie, an Indian-American mathematician and economist, is known for his contributions to mathematical finance. He developed the Duffie-Pan model, a popular model for pricing credit derivatives, which incorporates stochastic interest rates and credit spreads.

Which Indian mathematician is renowned for his work on the pricing of American options and the development of the Geske-Johnson model?

  1. Manjul Bhargava

  2. Robert C. Merton

  3. Rama Cont

  4. Richard Geske


Correct Option: D
Explanation:

Richard Geske, an Indian-American mathematician, is known for his work on option pricing. He developed the Geske-Johnson model, a widely used model for pricing American options, which allows for early exercise of the option.

Who among the following Indian mathematicians is credited with developing the Carr-Madan model, a popular model for pricing jump-diffusion processes?

  1. Manjul Bhargava

  2. Robert C. Merton

  3. Peter Carr

  4. Rama Cont


Correct Option: C
Explanation:

Peter Carr, an Indian-American mathematician, is known for his work on option pricing and stochastic processes. He developed the Carr-Madan model, a widely used model for pricing jump-diffusion processes, which incorporates jumps in the underlying asset price.

Which Indian mathematician is renowned for his contributions to the field of algorithmic trading and the development of high-frequency trading strategies?

  1. Manjul Bhargava

  2. Robert C. Merton

  3. Rama Cont

  4. Narendra Karmarkar


Correct Option: D
Explanation:

Narendra Karmarkar, an Indian mathematician and computer scientist, is known for his work on algorithmic trading and optimization. He developed high-frequency trading strategies that utilize advanced mathematical techniques to make rapid trading decisions.

Who among the following Indian mathematicians is credited with developing the Lipton-Tarjan algorithm, a widely used algorithm for finding minimum spanning trees?

  1. Manjul Bhargava

  2. Robert C. Merton

  3. Rama Cont

  4. Richard Lipton


Correct Option: D
Explanation:

Richard Lipton, an Indian-American mathematician and computer scientist, is known for his work on algorithms and complexity theory. He developed the Lipton-Tarjan algorithm, a widely used algorithm for finding minimum spanning trees, which is efficient and has a low computational complexity.

Which Indian mathematician is renowned for his contributions to the field of game theory and the development of the Nash equilibrium concept?

  1. Manjul Bhargava

  2. John Nash

  3. Rama Cont

  4. Narendra Karmarkar


Correct Option: B
Explanation:

John Nash, an Indian-American mathematician, is known for his groundbreaking work in game theory. He developed the Nash equilibrium concept, a fundamental solution concept in game theory that describes the optimal strategies for players in a non-cooperative game.

Who among the following Indian mathematicians is credited with developing the Aumann-Shapley value, a widely used solution concept in cooperative game theory?

  1. Manjul Bhargava

  2. Robert Aumann

  3. Rama Cont

  4. Narendra Karmarkar


Correct Option: B
Explanation:

Robert Aumann, an Indian-Israeli mathematician, is known for his contributions to game theory and economics. He developed the Aumann-Shapley value, a widely used solution concept in cooperative game theory that allocates payoffs to players in a fair and efficient manner.

Which Indian mathematician is renowned for his work on the theory of auctions and the development of the Vickrey-Clarke-Groves mechanism?

  1. Manjul Bhargava

  2. William Vickrey

  3. Rama Cont

  4. Narendra Karmarkar


Correct Option: B
Explanation:

William Vickrey, an Indian-Canadian economist and mathematician, is known for his work on the theory of auctions. He developed the Vickrey-Clarke-Groves mechanism, a widely used auction mechanism that ensures efficient allocation of resources and truthful bidding by participants.

Who among the following Indian mathematicians is credited with developing the Myerson-Satterthwaite theorem, a fundamental result in mechanism design theory?

  1. Manjul Bhargava

  2. Robert Aumann

  3. Roger Myerson

  4. Narendra Karmarkar


Correct Option: C
Explanation:

Roger Myerson, an Indian-American economist and mathematician, is known for his contributions to mechanism design theory. He developed the Myerson-Satterthwaite theorem, a fundamental result that characterizes the conditions under which truthful revelation is a dominant strategy for players in a mechanism.

Which Indian mathematician is renowned for his work on the theory of social choice and the development of the Arrow's impossibility theorem?

  1. Manjul Bhargava

  2. Kenneth Arrow

  3. Rama Cont

  4. Narendra Karmarkar


Correct Option: B
Explanation:

Kenneth Arrow, an Indian-American economist and mathematician, is known for his work on social choice theory. He developed the Arrow's impossibility theorem, a fundamental result that demonstrates the impossibility of designing a voting system that satisfies certain desirable properties.

Who among the following Indian mathematicians is credited with developing the Sen's impossibility theorem, a significant result in social choice theory?

  1. Manjul Bhargava

  2. Amartya Sen

  3. Rama Cont

  4. Narendra Karmarkar


Correct Option: B
Explanation:

Amartya Sen, an Indian economist and philosopher, is known for his contributions to social choice theory and welfare economics. He developed the Sen's impossibility theorem, a significant result that demonstrates the impossibility of designing a social welfare function that satisfies certain desirable properties.

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