Paper examines pricing and hedging for cross-currency swaps referencing backward-looking rates.
problem Pricing and hedging cross-currency swaps with backward-looking rates.
method Uses interest rate and currency futures for hedging, analyzes arbitrage-free multi-curve setting.
result Explicit pricing and hedging results for CCBS with backward-looking rates.
Study prices currency options using fractional delta hedging with transaction costs.
problem Pricing European currency options with transaction costs in fractional Black Scholes model.
method Applied delta hedging strategy to derive pricing formula and PDE.
result Fractional Black Scholes model with transaction costs is a satisfactory model.
This paper examines pricing and hedging strategies for cross-currency equity protection swaps.
problem Dynamic requirements from EPS buyers in cross-currency equity protection swaps.
method Detailed analysis of two hedging paradigms, including separate and aggregated returns, with consideration of different types of returns.
result Proposes various hedging strategies with practical implications for EPS providers and investors.
Develops optimal currency hedging strategy for fund managers considering liquidity risk.
problem Choosing optimal foreign exchange (FX) hedge tenors to maximize carry returns within liquidity constraints.
method Time-dispersing total hedge value into future time buckets, maximizing FX carry benefit while adhering to liquidity risk metric (CFaR).
result Hedging strategy operates within liquidity budget, demonstrating practical insights for fund managers.
It is well known that traded foreign exchange forwards and cross currency swaps (CCS) cannot be priced applying overnight cash and carry arguments as they imply absence of funding advantage of one currency to the other. This paper proposes a heuristic present value concept for multi-currency pricing and hedging which a…
The pricing, hedging, optimal exercise and optimal cancellation of game or Israeli options are considered in a multi-currency model with proportional transaction costs. Efficient constructions for optimal hedging, cancellation and exercise strategies are presented, together with numerical examples, as well as probabili…
Paper optimizes international portfolios with new copula-based scenario generation.
problem Optimizing international portfolios with realistic uncertainty models.
method Two-stage stochastic model, regular-vine copula for scenario generation, including transaction costs.
result Proposed method yields better risk-return portfolios than standard approaches.
Study on collateral currency impact in differential swaps valuation.
problem Impact of collateral currency on differential swap valuation and risk management.
method Replication using futures, explicit pricing and hedging strategies.
result Choice of collateral currency can introduce additional risk exposures.
Bitcoin fails to function as a stable currency or store of value.
problem Bitcoin's failure to serve as a reliable currency or store of value.
method Quantitative finance methods and economic arguments applied to cryptocurrencies.
result Bitcoin does not function as a currency, store of value, or inflation hedge.
The pricing and hedging of a general class of options (including American, Bermudan and European options) on multiple assets are studied in the context of currency markets where trading is subject to proportional transaction costs, and where the existence of a risk-free numéraire is not assumed. Constructions leading t…
China uses two Renminbi markets to hedge cross-border risks, leading to a price discrepancy.
problem China's two Renminbi markets (onshore and offshore) create a price discrepancy for currency forwards.
method Joint equilibrium model for spot and forward trading with transaction costs and segmented supply.
result The model explains the observed forward price discrepancy in terms of offshore liquidity stress.
The paper examines dynamic reserving for multiple currencies under coherent risk measures.
problem Dynamic reserving for risk in multiple currencies under a general coherent risk measure.
method Shows time-consistency of reserving portfolios in multiple currencies when a generalized m-stability condition holds, equivalent to dynamic trading across baskets of currencies with proportional transaction costs.
result A version of the Fundamental Theorem of Asset Pricing holds in this context, proving time-consistency of reserving portfolios.
The study improves gold's role as a hedge and safe haven using new correlation measures.
problem Investing in gold for medium and extreme market movements.
method Developed a new correlation measure based on fractal approach.
result Gold is a better hedge than safe haven for extreme market movements.
Develops a new framework for currency option pricing with transaction costs.
problem Pricing currency options under transaction costs and fractional Brownian motion.
method Analytic formula derived using mean self-financing delta-hedging in a discrete time setting.
result Minimal price formula for currency options under transaction costs.
It turns out that in the bivariate Black-Scholes economy Margrabe type options exhibit symmetry properties leading to semi-static hedges of rather general barrier options. Some of the results are extended to variants obtained by means of Brownian subordination. In order to increase the liquidity of the hedging instrume…
This paper offers a mathematical framework to manage inventory risk in FX cash markets.
problem Inventory risk in FX cash markets due to flow uncertainty and volatility.
method Mathematical framework and approximation techniques for scalability.
result Maximizing expected profit while controlling inventory risk.
We explore inverse and quanto inverse crypto options, their pricing, and applications.
problem Market incompleteness in crypto options trading.
method Comparison of direct and inverse options, and introduction of currency-protected 'quanto' options.
result Pricing and hedging characteristics of inverse and quanto inverse options in a Black-Scholes framework.
We study a novel pricing operator for complete, local martingale models. The new pricing operator guarantees put-call parity to hold for model prices and the value of a forward contract to match the buy-and-hold strategy, even if the underlying follows strict local martingale dynamics. More precisely, we discuss a chan…
We revisit the problem of pricing and hedging plain vanilla single-currency interest rate derivatives using multiple distinct yield curves for market coherent estimation of discount factors and forward rates with different underlying rate tenors. Within such double-curve-single-currency framework, adopted by the market…
Study multi-currency markets with multiple interest rates and collateral.
problem Characterize absence of arbitrage in a multi-currency market.
method Generalize results from Bielecki and Rutkowski (2015) to a multi-currency framework, linking with Piterbarg (2012), Moreni and Pallavicini (2017), and Fujii et al. (2010b). Characterize absence of arbitrage without collateral, then study collateralization schemes under various conventions.
result Complete study of absence of arbitrage and pricing in multi-currency markets with multiple interest rates and collateral.
This study examines the collateral choice option and its valuation and hedging.
problem Non-zero collateral basis spreads impact asset valuation and require complex modeling.
method Develops a stochastic valuation model for the collateral choice option and proposes hedging strategies.
result The stochastic model attributes risks to all involved collateral currencies, unlike the deterministic model.
Examines SOFR derivatives pricing and hedging post-LIBOR discontinuation.
problem Pricing and hedging of SOFR derivatives post-LIBOR discontinuation.
method One-factor model based on Vasicek's equation for overnight interest rates dynamics.
result Arbitrage-free pricing and hedging of SOFR derivatives instruments.
This paper considers method of creation of an advisor and indicator based on the spectral stochastic analysis model, both with linear and non-linear approximation. The problem of entrance to one or another trade position is solved on the basis of combined analysis of dynamics of quotations of all currency pairs, what a…
ETF approval boosts Bitcoin's correlation with equities, stabilizes with gold, and maintains negative correlation with fiat currencies.
problem Impact of Bitcoin ETF approval on Bitcoin's relationships with traditional assets.
method Rolling correlation analysis, Chow tests, and DCC-GARCH models.
result Bitcoin's correlation with equities increased significantly post-ETF approval, while its relationship with gold stabilized and remained negatively correlated with fiat currencies.
Study shows institutional investments significantly impact cryptocurrency market evolution.
problem Limited understanding of institutional investments' role in cryptocurrency market evolution.
method Quantitative analysis of 1324 cryptocurrencies' investments from 2014-2022.
result Institutional investments correlate with cryptocurrency market capitalization.
PolyModel theory and iTransformer improve hedge fund portfolio construction.
problem Sparse financial time series data makes portfolio construction challenging.
method Identify asset pool, select risk factors, create quantitative and classical measures, and use iTransformer for trend capture.
result Improved Sharpe ratio and annualized return compared to benchmarks.
Our study proposes a new currency system to protect wealth from over-issued fiat and stablecoins.
problem The over-issuance of fiat and stablecoins undermines the stability of currency purchasing power.
method We introduce a parallel monetary system based on redeemable self-decaying money (RSDM) to provide a stable currency alternative.
result A parallel monetary system including RSDM, domestic fiat, and major reserve currencies can safeguard wealth and prevent the reverse Gresham law.
Entropy measures financial drawdowns, volatility, and volatility regimes.
problem Analyzing financial time series with entropy measures.
method Transfer entropy, state space models, entropy of realised volatility.
result Entropy reveals information flows and volatility regimes in financial markets.
We study superhedging of contingent claims with physical delivery in a discrete-time market model with convex transaction costs. Our model extends Kabanov's currency market model by allowing for nonlinear illiquidity effects. We show that an appropriate generalization of Schachermayer's robust no arbitrage condition im…
Study compares models for pricing multi-strike quanto call options with SV, SC, and SER.
problem Pricing multi-strike quanto call options with stochastic volatility, correlation, and exchange rates.
method Comparative analysis of SV, SC, and SER models; Monte Carlo simulation; Milstein scheme; antithetic variates; correlation risk parameters.
result GARCH-Jump SV, Weibull SC, and Ornstein Uhlenbeck (OU) SER model combination performs best.
Model shows multiple currencies can coexist in large systems.
problem Competition between currencies leads to fractionalized states.
method Simplified model of currency competition with transaction costs.
result Large systems maintain two distinct currency communities.
This paper optimizes multi-currency AMMs to reduce forex trading costs.
problem Lack of direct liquid markets for currency pairs.
method Constant-mean AMM architecture, hierarchical agglomerative clustering algorithm.
result Optimized multi-currency pools reduce trading costs by ~13%.
By analyzing the foreign exchange market data of various currencies, we derive a hierarchical taxonomy of currencies constructing minimal-spanning trees. Clustered structure of the currencies and the key currency in each cluster are found. The clusters match nicely with the geographical regions of corresponding countri…
In this article we propose a study of market models starting from a set of axioms, as one does in the case of risk measures. We define a market model simply as a mapping from the set of adapted strategies to the set of random variables describing the outcome of trading. We do not make any concavity assumptions. The fir…
Bitcoins have emerged as a possible competitor to usual currencies, but other crypto-currencies have likewise appeared as competitors to the Bitcoin currency. The expanding market of crypto-currencies now involves capital equivalent to 1010 US Dollars, providing academia with an unusual opportunity to study the em…
Abstract framework for cross-currency interest rate contracts.
problem Handling cross-currency markets with collateral and incompleteness.
method Developed a general HJM framework for abstract market indices.
result Enabled simultaneous description of multiple currency interest rate products.
Brazil proposes a new BRICS trade currency to dominate international trade.
problem Dominance of BRICS currency in international trade.
method Mathematical model of influence battle between three currencies, using trade flows and weights in global trade.
result By 2012, about 58% of countries preferred trading with the BRICS currency.
Study examines risk of digital currencies using GARCH and Filtered Historical Simulation.
problem Risk management of digital currencies like Bitcoin, Ethereum, Litecoin, and Ripple.
method GARCH modelling followed by Filtered Historical Simulation.
result Digital currencies are subject to higher risk, requiring higher buffer and risk capital.
World currency network constitutes one of the most complex structures that is associated with the contemporary civilization. On a way towards quantifying its characteristics we study the cross correlations in changes of the daily foreign exchange rates within the basket of 60 currencies in the period December 1998 -- M…
We analyze structure of the world foreign currency exchange (FX) market viewed as a network of interacting currencies. We analyze daily time series of FX data for a set of 63 currencies, including gold, silver and platinum. We group together all the exchange rates with a common base currency and study each group separa…
Develops a new model for cross-currency derivatives pricing.
problem Pricing cross-currency derivatives in a complex market model.
method Introduces a random field LIBOR market model to handle uncertainty in forward LIBOR rates.
result Derives exact and approximate pricing formulas for various derivatives.
A large set of daily FOREX time series is analyzed. The corresponding correlation matrices (CM) are constructed for USD, EUR and PLZ used as the base currencies. The triangle rule is interpreted as constraints reducing the number of independent returns. The CM spectrum is computed and compared with the cases of shuffle…
Study on currency option valuation in crisis markets.
problem Valuation of currency options in financial crisis markets.
method Modified Black-Scholes model with augmented stochastic volatility.
result Closed-form solution for European call and put options.
AI predicts currency strength based on economic fundamentals, outperforming traditional methods.
problem Exchange rate disconnect puzzle documented by Meese and Rogoff (1983).
method Generative AI (ChatGPT and DeepSeek) forecasts currency returns using economic data.
result Simple trading strategy based on AI fundamentals outperforms traditional currency factors.
The paper models currency substitution and money demand in CEE countries, finding interest rate spreads influence money demand.
problem Understanding currency substitution and money demand in CEE countries.
method Developed a microeconomic model to differentiate currency substitution from money demand sensitivity to exchange rate variations.
result Money demand is influenced by the interest rate spread between CEE countries and the euro area, not just currency substitution.
New digital currency aims for equal wealth distribution.
problem Inequality in cryptocurrency wealth distribution.
method Egalitarian coin minting and joint minting across communities.
result Achieves global distributive justice in wealth distribution.
Hybrid method reveals true currency correlations.
problem Identify currency status in foreign exchange networks.
method Combines DCCC and network deconvolution to filter indirect effects.
result Reflects currency status changes and is more stable.
The study reveals the hierarchical structure of the international FOREX market using currency fluctuation distribution similarities.
problem Understanding the hierarchical structure of the international FOREX market.
method Using Jensen-Shannon divergence to quantify the similarity between normalized logarithmic return distributions of currencies.
result Clusters of currencies are consistent with the nature of underlying economies but diverge during crises.