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Financial Engineering Course: Lecture 3/14, part 1/2, (The HJM Framework) 

Computations in Finance
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Financial Engineering: Interest Rates and xVA
Lecture 3- part 1/2 The HJM Framework
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This course is based on the book:
"Mathematical Modeling and Computation in Finance: With Exercises and Python and MATLAB Computer Codes", by C.W. Oosterlee and L.A. Grzelak, World Scientific Publishing, 2019.
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- Codes and the slides can be found at: github.com/LechGrzelak/Financ...
- See quantfinancebook.com/ for more details and for additional materials.
- Course syllabus can be found at: CompFinance.ddns.net/wordpres...
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0:00 Introduction
5:42 Equilibrium vs. Term-Structure Models
26:05 The HJM Framework
37:43 The Instantaneous Forward Rate
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CONTENT OF THIS COURSE:
Lecture 1- Introduction and Overview of the Course
Lecture 2- Understanding of Filtrations and Measures
*** Lecture 3- The HJM Framework
Lecture 4- Yield Curve Dynamics under Short Rate
Lecture 5- Interest Rate Products
Lecture 6- Construction of Yield Curve and Multi-Curves
Lecture 7- Pricing of Swaptions and Negative Interest Rates
Lecture 8- Mortgages and Prepayments
Lecture 9- Hybrid Models and Stochastic Interest Rates
Lecture 10- Foreign Exchange (FX) and Inflation
Lecture 11- Market Models, Convexity Adjustments and Beyond
Lecture 12- Valuation Adjustments- xVA (CVA, BCVA and FVA)
Lecture 13- Historical VaR, SVaR and Expected Shortfall
Lecture 14- Summary of the Course
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#ComputationalFinance, #Python, #QuantitativeFinance, #FinancialMathematics, #MonteCarloSimulation, #OptionPricing, #Finance, #DerivativePricing, #BlackScholes, #FreeCourse, #FinancialEngineering, #Hedging, #Simulation, #Options, #xVA
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Music: www.bensound.com

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22 июл 2024

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Комментарии : 7   
@henrikswedish378
@henrikswedish378 2 года назад
Thank you Lech. I followed your lectures in the past course. Thank you very much. I liked the presentation of AD models and the cos method. I bought the book, previous Master student at Lund University, Sweden
@ComputationsInFinance
@ComputationsInFinance 2 года назад
Glad you like them Henrik! Appreciate your feedback! Best wishes, Lech
@chesterngwenya4744
@chesterngwenya4744 2 года назад
Hi Lech, thanks again for this week's lecture.
@ComputationsInFinance
@ComputationsInFinance 2 года назад
hi Chester, your welcome! Best wishes! Lech
@diceman3873
@diceman3873 2 года назад
Professor, thank you for the fantastic teaching! i have a question regarding the assumption of dynamic of f(t,T). Why we cannot assume f(t,T) to follow a geometric brownian motion, but a arithmetic brownian motion? i guess it's because f(t,T) does not has exponential growth form in the real world?
@ComputationsInFinance
@ComputationsInFinance 2 года назад
Hello DiceMan, your welcome, hope you like the rest of the course too. Regarding your question, you actually don't specify a dynamic for the HJM but you specify the volatility sigma(t,T). Indeed, once you specify sigma(t,T) as a constant you imply that f(t,T) follows arithmetic Brownian motion. If you change sigma(t,T) to be state-dependent (a function of f(t,T)) you may indeed achieve geometric type of process for f(t,T). These days however, we know that rates may be negative, therefore it is not recommended to use a positive process for the interest rates. Does it answer your question?
@diceman3873
@diceman3873 2 года назад
@@ComputationsInFinance yes, thank you so much!
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