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.
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.
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.
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.
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.
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.
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.
A new approach for pricing FX options that uses a single model for all markets.
problem Consistent pricing of FX options across different markets.
method Intermediate currency approach, calibrating to domestic market volatility smile.
result Model automatically reproduces correct foreign market volatility smiles.
Study shows variance gamma model outperforms Black-Scholes for USD-INR currency options.
problem Complex pricing of currency options with multi-assets.
method Examined USD-INR currency options, tested several models, compared performance.
result Variance gamma model outperforms Black-Scholes model in various volatility regimes.
In this paper an econophysics model for the currency exchange operations with commission is proposed. With this purpose some analogies and similarities of the processes that take place in the frame of the electrochemical system made from electrodes sunk into a solution of electrolytes and the process of the currency ex…
Optimizing dividend payouts in a foreign currency for insurance companies.
problem Maximizing expected discounted dividends in a foreign currency context.
method Modelled as a Brownian motion with drift and Lévy process for currency fluctuation, explicit calculations for value function and strategy.
result Explicit calculation of value function and optimal strategy for dividend payouts.
Study game options pricing and hedging in multi-currency models with transaction costs.
problem Pricing and hedging game options in currency models with transaction costs.
method Efficient constructions for optimal hedging, cancellation, and exercise strategies are presented.
result Probabilistic dual representations for the bid and ask price of a game option.
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 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%.
This paper optimizes international portfolios considering currency overlay costs and constraints.
problem Limited risk diversification in multi-currency portfolios due to currency concentration.
method Proposes a model integrating currency overlay and asset allocation optimization, accounting for costs and constraints.
result Inclusion of costs significantly alters optimal portfolio decisions and risk-return trade-offs.
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…
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.
Develops optimal trading strategy for illiquid currency pairs.
problem Maximizes revenues for a broker liquidating an illiquid currency pair.
method Uses a currency triplet strategy, considering model ambiguity, and employs simulations.
result Mean P&L increases and standard deviation decreases as ambiguity aversion increases.
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.
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.
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…
Deep learning predicts currency volatility accurately.
problem Predicting future volatility in Forex trading.
method Constructed a deep-learning network using multiscale LSTM with multi-currency pairs.
result Multiscale LSTM model outperforms conventional models.
The paper presents a pricing framework for cross-currency collateralized products, addressing funding costs and market uncertainties.
problem Funding costs and market uncertainties in cross-currency collateralized products.
method General derivation of arbitrage-free pricing framework, including impact of foreign currency funding.
result Pricing framework for cross-currency swaps under different market situations.
This study updates a model for Mexican interest rate swaps post-crisis.
problem Post-crisis divergence of interest rates and new regulatory requirements.
method Used Fujii et al. 2010b model with collateral currencies USD, EUR, MXN.
result Validated model for Mexican interest rate derivatives with collateral currencies.
Study assesses impact of CBDC on financial stability in dual-currency economy.
problem Impact of CBDC on financial stability in dual-currency economy (Romania).
method Integrated analytical framework combining econometrics, machine learning, and behavioural modelling. CBDC adoption probabilities estimated using XGBoost and logistic regression models. Liquidity stress simulations and VAR, MSVAR, SVAR models capture macro-financial transmission.
result CBDC uptake would be moderate, primarily driven by digital readiness and trust in the central bank.
Develops a new model for multi-currency volatility using CBI-time-changed Lévy processes.
problem Capturing the risk characteristics of FX markets and their self-exciting dynamics.
method CBI-time-changed Lévy processes, affine processes, Fourier methods, deep-learning techniques.
result An analytically tractable model with a semi-closed pricing formula for currency options.
Currency volatility shocks predict lower excess returns, and buying weak transmitters outperforms selling strong ones.
problem Predicting currency returns using volatility shocks.
method Constructed a dynamic, directed network of volatility connections using option-implied volatilities.
result Currencies that transmit more volatility shocks earn lower excess returns.
Study improves early warning models for currency and stock market crises.
problem Predicting currency and stock market crises.
method Synthetic review and comparison of early warning models, focusing on crisis identifications and predictive models.
result SWARCH model with elastic thresholding methodology most accurately classifies crisis observations.
Modeling central bank strategy to minimize risk in pegged currency markets.
problem Maintaining a pegged currency market from speculative investor attacks.
method Mathematical modeling of a stochastic game between a trader and a central bank.
result Identifying the optimal strategy for the central bank to minimize risk.
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.
This paper examines how currency monopoly leads to economic instability and proposes a new currency system based on voluntary exchange.
problem Economic instability caused by currency monopoly.
method Examines the current economic system and proposes a new currency system based on voluntary exchange of goods and services.
result A new currency system emerges naturally from the free market, providing a way for public goods and services without direct taxation.
Gold markets are less efficient than currency markets, contrary to expectations.
problem Evaluating the efficiency of gold markets relative to currency markets.
method Utilized the Efficiency Index (EI) based on fractal dimension, approximate entropy, and long-term memory on a portfolio of gold price series for different currencies.
result Gold prices in major currencies are among the least efficient, while minor currencies are among the most efficient.
This research uses empirical copulas to price quanto options, showing significant differences from traditional models.
problem The dependence relation between currency and asset prices affects quanto option pricing.
method Empirical copulas are used to model the dependence between currency and asset prices.
result Empirical copulas provide non-negligible pricing differences compared to traditional models.
Study predicts crypto-currency price collapses using standard deviation.
problem Detecting price collapses in crypto-currencies.
method Phenomenological model and analysis of standard deviation.
result Standard deviation can predict crypto-currency price collapses.
AI models assess psychological risks in currency trading.
problem Identifying psychological risks in currency traders.
method Developed a decision tree model to identify patterns in historical data.
result Enhanced decision-making through real-time alerts.
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…
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…
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.
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…
The currency carry trade is the investment strategy that involves selling low interest rate currencies in order to purchase higher interest rate currencies, thus profiting from the interest rate differentials. This is a well known financial puzzle to explain, since assuming foreign exchange risk is uninhibited and the …
Paper develops security model and pricing for stable digital currency in quantum blockchain network.
problem Securing and pricing stable digital currency in a quantum blockchain network.
method Developed a block-based quantum channel networking technology and a FinTech platform model with dynamic pricing.
result Established a generalized IoB security model using quantum channel networking and QKD.
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.
Support Vector Machine (SVM) is powerful classification technique based on the idea of structural risk minimization. Use of kernel function enables curse of dimensionality to be addressed. However, proper kernel function for certain problem is dependent on specific dataset and as such there is no good method on choice …
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.
Central bank strategy to maintain currency exchange rate within limits.
problem Maintaining a currency exchange rate within a target zone despite adverse economic trends.
method Modeling the problem with a continuous-time market impact model and solving it as a stochastic control problem.
result Optimal strategy minimizes accumulated inventory of foreign currency.
Model predicts majority of countries will prefer BRI over USD by 2020.
problem Predicting currency preferences in global trade networks.
method Opinion formation model based on UN Comtrade database, Monte Carlo simulations.
result By 2020, majority of countries prefer BRI over USD.
Extends multi-curve framework for fully collateralized markets.
problem Lack of a complete multi-currency setup with cross-currency basis.
method Develops a new formulation of currency funding spread and a discretization of the HJM framework.
result Better formulation of currency funding spread for general dependence.