Actuarial science | Mathematical finance
In mathematical finance, a replicating portfolio for a given asset or series of cash flows is a portfolio of assets with the same properties (especially cash flows). This is meant in two distinct senses: static replication, where the portfolio has the same cash flows as the reference asset (and no changes need to be made to maintain this), and dynamic replication, where the portfolio does not have the same cash flows, but has the same "Greeks" as the reference asset, meaning that for small (properly, infinitesimal) changes to underlying market parameters, the price of the asset and the price of the portfolio change in the same way. Dynamic replication requires continual adjustment, as the asset and portfolio are only assumed to behave similarly at a single point (mathematically, their partial derivatives are equal at a single point). Given an asset or liability, an offsetting replicating portfolio (a "hedge") is called a static hedge or dynamic hedge, and constructing such a portfolio (by selling or purchasing) is called static hedging or dynamic hedging. The notion of a replicating portfolio is fundamental to rational pricing, which assumes that market prices are arbitrage-free – concretely, arbitrage opportunities are exploited by constructing a replicating portfolio. In practice, replicating portfolios are seldom, if ever, exact replications. Most significantly, unless they are claims against the same counterparties, there is credit risk. Further, dynamic replication is invariably imperfect, since actual price movements are not infinitesimal – they may in fact be large – and transaction costs to change the hedge are not zero. (Wikipedia).
Sarit Agami (3/5/19): Modeling and replicating persistence diagrams
Title: Modeling and replicating persistence diagrams Abstract: Persistence diagrams are useful displays that give summary information about the topological features of some phenomenon. Usually, only one persistence diagram is available, and replicated persistence diagrams are needed for s
From playlist AATRN 2019
Titus van Erp (10/7/22): Exchanging replicas with unequal cost, infinitely and permanently
We developed a replica exchange method that is effectively parallelizable even if the computational cost of the Monte Carlo moves in the parallel replicas are considerably different, for instance, because the replicas run on different type of processor units or because of the algorithmic c
From playlist AATRN/STMS
Can You Validate These Emails?
Email Validation is a procedure that verifies if an email address is deliverable and valid. Can you validate these emails?
From playlist Fun
Ramil Mouad - Parallel Replica algorithm for Langevin dynamics and Adaptative Metadynamics
Recorded 28 March 2023. Ramil Mouad of Seoul National University presents "Parallel Replica algorithm for Langevin dynamics and Adaptative Metadynamics" at IPAM's Increasing the Length, Time, and Accuracy of Materials Modeling Using Exascale Computing workshop. Abstract: This talk will be
From playlist 2023 Increasing the Length, Time, and Accuracy of Materials Modeling Using Exascale Computing
Discrete Math - 8.1.1 Modeling with Recurrence Relations
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From playlist Discrete Math I (Entire Course)
Monte Carlo Simulation For Any Model in Excel - A Step-by-Step Guide
Read more on Monte Carlo Simulations and download a sample model here: https://magnimetrics.com/monte-carlo-simulation-in-financial-modeling/ If you like this video, drop a comment, give it a thumbs up and consider subscribing here: https://www.youtube.com/channel/UCrdjXR70BwWIX--ZtQB42XQ
From playlist Excel Tutorials
Replica Set in MondoDB | MongoDB Tutorial
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From playlist MongoDB Tutorial Videos [2022 Updated]
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From playlist Quick Machine Learning Concepts
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From playlist Class 4 The Greeks & Dynamic Hedging
BEM1105x Course Playlist - https://www.youtube.com/playlist?list=PL8_xPU5epJdfCxbRzxuchTfgOH1I2Ibht Produced in association with Caltech Academic Media Technologies. ©2020 California Institute of Technology
From playlist BEM1105x Course - Prof. Jakša Cvitanić
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From playlist Derivatives: Option Pricing
9 8 Hedging portfolio sensitivities Part 3
BEM1105x Course Playlist - https://www.youtube.com/playlist?list=PL8_xPU5epJdfCxbRzxuchTfgOH1I2Ibht Produced in association with Caltech Academic Media Technologies. ©2020 California Institute of Technology
From playlist BEM1105x Course - Prof. Jakša Cvitanić
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BEM1105x Course Playlist - https://www.youtube.com/playlist?list=PL8_xPU5epJdfCxbRzxuchTfgOH1I2Ibht Produced in association with Caltech Academic Media Technologies. ©2020 California Institute of Technology
From playlist BEM1105x Course - Prof. Jakša Cvitanić
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From playlist MIT 18.S096 Topics in Mathematics w Applications in Finance
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From playlist SIAM Activity Group on FME Virtual Talk Series
9 4 Perfect hedging replication Part 1
BEM1105x Course Playlist - https://www.youtube.com/playlist?list=PL8_xPU5epJdfCxbRzxuchTfgOH1I2Ibht Produced in association with Caltech Academic Media Technologies. ©2020 California Institute of Technology
From playlist BEM1105x Course - Prof. Jakša Cvitanić
Part 1 Updated version: https://youtu.be/xb5fjOsLzXc This is SoME1 submission version. License: CC BY-NC-SA 2.0
From playlist Summer of Math Exposition Youtube Videos