In this article we consider the problem of giving a robust, model-independent, lower bound on the price of a forward starting straddle with payoff where . Rather than assuming a model for the underlying forward price , we assume that call prices for maturities $T_0<T_1…
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37 results for “forward-start straddles”
We simplify no-arbitrage bounds calculation for financial derivatives.
problem Calculating robust replication of forward-start straddles from market data.
method Proposed a discretisation scheme and a new linear programming approach to the dual problem.
result Reconciled two approaches: semi-infinite linear programming and optimal martingale measures.
In this paper we apply change of numeraire techniques to the optimal transport approach for computing model-free prices of derivatives in a two periods model. In particular, we consider the optimal transport plan constructed in \cite{HobsonKlimmek2013} as well as the one introduced in \cite{BeiglJuil} and further studi…
Paper explores volatility swaps in rough volatility models.
problem Understanding volatility swaps in rough volatility models.
method Examines the relationship between forward start volatility swaps and implied volatilities in rough volatility models.
result The leading term approximation error in the correlated case does not depend on the time to forward start date.
Paper classifies short straddles on S&P500 daily.
problem Deciding when to execute short straddles on S&P500.
method Supervised machine learning classification task.
result No statistically significant outperformance over simple strategy.
Study volatility of forward-start options using Malliavin Calculus.
problem Implied volatility of Forward-Start options, focusing on ATM behavior.
method Closed-form expressions derived using Malliavin Calculus in Markovian models.
result Derives expressions for at-the-money, skew, and curvature of forward implied volatility.
Asymptotic analysis of forward start Asian options in local volatility models.
problem Analyzing the pricing of forward start Asian options with short maturity under local volatility models.
method Large deviations theory and optimization problems for exponential decay rates; closed-form solutions for specific cases.
result Closed-form solutions and asymptotic behaviors of the rate function for various strike conditions.
Deep Q-Learning system for straddle options in volatile markets.
problem High computational costs and unstable performance in high-volatility markets.
method Attention mechanisms in Transformer-DDQN, novel reward function, and resistance level identification.
result Transformer-DDQN model exhibits lowest maximum drawdown and highest average return.
New method improves level set estimation with theoretical guarantees.
problem Efficiently estimating level sets of expensive-to-evaluate functions.
method Randomized straddle algorithm for level set estimation.
result The method provides theoretical guarantees and better practical performance.
We introduce a natural generalization of the forward-starting options, first discussed by M. Rubinstein. The main feature of the contract presented here is that the strike-determination time is not fixed ex-ante, but allowed to be random, usually related to the occurrence of some event, either of financial nature or no…
We prove here a general closed-form expansion formula for forward-start options and the forward implied volatility smile in a large class of models, including the Heston stochastic volatility and time-changed exponential Lévy models. This expansion applies to both small and large maturities and is based solely on the p…
In this paper we consider a jump-diffusion dynamic whose parameters are driven by a continuous time and stationary Markov Chain on a finite state space as a model for the underlying of European contingent claims. For this class of processes we firstly outline the Fourier transform method both in log-price and log-strik…
In the first quarter of 2006 Chicago Board Options Exchange (CBOE) introduced, as one of the listed products, options on its implied volatility index (VIX). This created the challenge of developing a pricing framework that can simultaneously handle European options, forward-starts, options on the realized variance and …
The paper suggests using derivatives instead of stocks for better utility and risk management.
problem The use of stocks in portfolio construction is challenged.
method The study uses the Black--Scholes--Merton setting to demonstrate the benefits of derivatives for maximizing utility and minimizing risk.
result Two derivatives are sufficient to maximize utility and minimize risk exposure in a two-asset portfolio.
The paper models asset prices with random volatility to match option prices.
problem Matching asset price dynamics with observed option prices.
method Uses a mixture of diffusion processes with random volatility.
result Derives explicit pricing formulas for derivatives.
Proposes deep hedging for index options using implied volatility surface.
problem Managing risk in index option portfolios with complex dynamics.
method Integrates surface-informed decisions with multiple hedging instruments, accounting for transaction costs and variance risk premium.
result Consistently outperforms traditional hedging strategies across various market conditions.
Models with time-dependent parameters using transform methods: application to Heston's modelq-fin.PR
This paper presents a methodology to introduce time-dependent parameters for a wide family of models preserving their analytic tractability. This family includes hybrid models with stochastic volatility, stochastic interest-rates, jumps and their non-hybrid counterparts. The methodology is applied to Heston's model. A …
The study reveals unspanned risks in equity option risk premiums, explaining negative premiums for certain options.
problem Explaining negative risk premiums for certain equity option types.
method Developed a decomposition of equity option risk premiums, operationalized the pricing kernel process, and incorporated unspanned risks.
result Empirical evidence supports the presence of unspanned risks, explaining negative risk premiums for certain options.
The ADO-Heston model approximates market implied skew in vanilla options.
problem Reproduce market implied skew in vanilla options using a Markovian approximation.
method Derived characteristic function under risk-neutral and real measures, chose market price of risk, found closed form for log-price CF and implied skew.
result The ADO-Heston model can approximate the vanilla implied skew at small but not exactly as rough volatility models.
Introduces a new stochastic volatility model using Jacobi processes.
problem Modeling asset return volatility with improved accuracy and tractability.
method Uses Jacobi processes to model squared volatility, deriving closed-form option pricing formulas.
result Option prices can be accurately approximated using series representations.
In this paper we investigate the asymptotics of forward-start options and the forward implied volatility smile in the Heston model as the maturity approaches zero. We prove that the forward smile for out-of-the-money options explodes and compute a closed-form high-order expansion detailing the rate of the explosion. Fu…
We consider a structural credit model for a large portfolio of credit risky assets where the correlation is due to a market factor. By considering the large portfolio limit of this system we show the existence of a density process for the asset values. This density evolves according to a stochastic partial differential…
BSLP is a two-dimensional dynamic model of interacting portfolio-level loss and spread (more exactly, loss intensity) processes. The model is similar to the top-down HJM-like frameworks developed by Schonbucher (2005) and Sidenius-Peterbarg-Andersen (SPA) (2005), however is constructed as a Markovian, short-rate intens…
Paper solves robust optimization with expectation constraints for financial derivatives.
problem Computing robust maximization solutions with expectation constraints.
method Shows a single convex minimization problem for super-replication values.
result No-arbitrage bounds on various financial derivatives.
Paper explores how analysts balance rule-based and situational aspects of data analytics.
problem Balancing mechanistic and situational aspects of data analytics.
method CSCW and social science research, ethnographic fieldwork.
result Effective data vision requires straddling formal abstraction and empirical contingency.
In equity and foreign exchange markets the risk-neutral dynamics of the underlying asset are commonly represented by stochastic volatility models with jumps. In this paper we consider a dense subclass of such models and develop analytically tractable formulae for the prices of a range of first-generation exotic derivat…
This work suggests modifications to a previously introduced class of heterogeneous agent models that allow for the inclusion of different types of agent motivations and behaviours in a unified way. The agents operate within a highly simplified environment where they are only able to be long or short one unit of the ass…
This paper introduces a new semi-parametric approach to the pricing and risk management of bespoke CDO tranches, with a particular attention to bespokes that need to be mapped onto more than one reference portfolio. The only user input in our framework is a multi-factor model (a "prior" model hereafter) for index portf…
Sharp bounds for VIX futures derived from S&P 500 smiles.
problem Deriving precise bounds for VIX futures prices.
method Model-free sub/superreplication of VIX using S&P 500 and its options.
result Improved bounds for VIX futures prices using functionally generated portfolios.
In the recent years, banks have sold structured products such as worst-of options, Everest and Himalayas, resulting in a short correlation exposure. They have hence become interested in offsetting part of this exposure, namely buying back correlation. Two ways have been proposed for such a strategy : either pure correl…
AES learns feasible domains in unbounded spaces with bounded query budget.
problem Learning feasible domains in unbounded input spaces with limited query budget.
method Active Expansion Sampling (AES) progressively expands knowledge of the input space, switching between learning decision boundaries and searching for new feasible domains.
result AES has a misclassification loss guarantee within the explored region, independent of iterations or labeled samples.
Modern information processing relies on the axiom that high-dimensional data lie near low-dimensional geometric structures. This paper revisits the problem of data-driven learning of these geometric structures and puts forth two new nonlinear geometric models for data describing "related" objects/phenomena. The first o…
Introduces Gaussian Processes and Relevance Vector Machines, connecting them to Kalman filtering.
problem Regression, smoothing, interpolation, and filtering problems.
method Bayesian kernel-based methods, Gaussian Processes, Relevance Vector Machines, connections to Kalman filtering.
result Developed a common framework for understanding these methods.
The crisis that affected financial markets in the last years leaded market practitioners to revise well known basic concepts like the ones of discount factors and forward rates. A single yield curve is not sufficient any longer to describe the market of interest rate products. On the other hand, using different yield c…
New neural operator calibrates LSV models faster and more accurately.
problem Calibrating LSV models is slow, noisy, and sequential.
method Developed a projection-consistent neural operator.
result Calibration latency reduced from 98.5 to 0.6 ms.
Non-spanning identification of scheduled event risk in option pricing.
problem Separating continuous surface from scheduled jump in option pricing.
method Modeling FOMC decisions, CPI releases, and NFP reports as deterministic-time jumps in risk-neutral option pricing.
result Improves held-out event-spanning pricing with Gaussian and two-component mixture jumps.
Pricing Bermudan swaptions with few exercise dates using analytic methods.
problem Pricing Bermudan swaptions with few exercise dates
method Analytic decomposition and backward induction under rolling forward measures
result Pricing formulas with decomposition and boundary linearity