Simplified model reveals financial cycles with debt bubbles and crises.
problem Understanding financial cycles and their patterns.
method Developed a simple model to analyze a financial system.
result Detected regular cycles of debt bubbles and crises.
Model explains stock price bubbles through debt crises and financial crashes.
problem Analyzing financial fragility and stock price bubbles.
method Stock-flow consistent model integrating macroeconomic and financial market dynamics.
result Model demonstrates how credit expansion and crash risk lead to recurrent boom-bust cycles.
We argue that the present crisis and stalling economy continuing since 2007 are rooted in the delusionary belief in policies based on a "perpetual money machine" type of thinking. We document strong evidence that, since the early 1980s, consumption has been increasingly funded by smaller savings, booming financial prof…
Decision trees predict stock market returns with significant performance.
problem Finding non-linear patterns in financial data.
method Decision tree forecasting model to capture arbitrary patterns.
result Decision tree strategies achieve trading performance at 99% confidence level on S&P 500.
Optimal debt reduction policy found for reducing debt-to-GDP ratio.
problem Minimizing total expected costs of debt and interventions.
method Singular stochastic control problem, probabilistic arguments, optimal stopping rule, nonlinear integral equation.
result Optimal debt reduction policy keeps debt-to-GDP ratio under an inflation-dependent ceiling.
Critical debt levels are determined based on debt duration and economic system fractal dimension.
problem Determining the critical debt levels for borrower bankruptcy.
method Two independent methods: entropy maximum and chemical potential zero.
result Critical debt values are consistent and depend on the velocity of money circulation.
We present an elementary analysis of the dynamical aspects of the GDP / government surplus multiplier with relevance to the assessment of a country's debt repayment policy. We show the (at first) counter intuitive result that in order to reduce the Debt/GDP ratio, countries with high Debt to GDP should go into further …
Compound interest as well as inflation grows exponentially with time, whereas other means to repay debt grow polynomially. For this and other, mostly political, reasons, debt without inflation is unsustainable. We suggest a discontinuous way to eliminate debt by nullifying it. This scenario is preferable to current cen…
KLD token adjusts supply based on macroeconomic debt index, creating deflationary effect.
problem Managing deflationary pressures in digital assets.
method Debt-indexed supply adjustments linked to macroeconomic data.
result Deflationary mechanism strengthens as debt rises.
The paper presents formulas for valuing debt and equity in interconnected firms with comonotonic endowments.
problem Valuation of debt and equity in interconnected firms with comonotonic endowments.
method Formulas derived under comonotonic setting, demonstrating lower and upper bounds using Jensen's inequality.
result The comonotonic setting provides a lower bound and Jensen's inequality an upper bound to the price of debt.
Public debt is one of the important economic variables that quantitatively describes a nation's economy. Because bankruptcy is a risk faced even by institutions as large as governments (e.g. Iceland), national debt should be strictly controlled with respect to national wealth. Also, the problem of eliminating extreme p…
This research improves debt collection strategies using advanced machine learning.
problem Accurate estimation of propensity to pay and cashflow for optimal debt collection.
method Developed a machine learning framework with pre-processing and model selection.
result The proposed model outperforms current industry strategies.
Fokker-Planck model shows debts are absorbed over time in wealth distribution.
problem Modeling wealth distribution with agents having debts.
method Fokker-Planck equation with variable diffusion coefficient.
result Debts are absorbed over time, leading to a positive wealth distribution.
The aim of the present article is to treat the Greek public debt issue strictly as a curve fitting problem. Thus, based on Eurostat data and using the Mathematica technical computing software, an exponential function that best fits the data is determined modelling how the Greek public debt expands with time. Exploring …
We propose a unified structural credit risk model incorporating both insolvency and illiquidity risks, in order to investigate how a firm's default probability depends on the liquidity risk associated with its financing structure. We assume the firm finances its risky assets by mainly issuing short- and long-term debt.…
The paper examines how CoCo bonds can enhance financial stability in interconnected banking systems.
problem Enhancing financial stability in interconnected banking systems.
method Financial network model with contingent convertible (CoCo) debt obligations.
result Replacing unsecured interbank debt with CoCo debt decreases systemic risk and increases bank shareholder value.
The seniority of debt, which determines the order in which a bankrupt institution repays its debts, is an important and sometimes contentious feature of financial crises, yet its impact on system-wide stability is not well understood. We capture seniority of debt in a multiplex network, a graph of nodes connected by mu…
In this letter, I consider the issue of pricing risky debt by following Merton's approach. I generalize Merton's results to the case where the interest rate is modeled by the CIR term structure. Exact closed forms are provided for the risky debt's price.
JFR-rg model explains Japan's stable debt despite high interest rates and low growth.
problem Understanding Japan's stable government debt despite high interest rates and low growth.
method Formalizes financial repression channels through JFR-rg model, incorporating financial repression bias and exchange-rate channel.
result Identifies Normalization Trap and Captive Financial System Parameter, showing debt dynamics under financial repression.
Debt-financed collateral in DeFi increases stability risks.
problem Financial stability risks in DeFi ecosystems due to debt-financed collateral.
method Categorization and classification algorithm to measure debt-financed collateral.
result Wide-spread use of stablecoins as debt-financed collateral increases financial stability risks.
The paper addresses dynamic capital structure models with defaultable debt, proving existence and uniqueness.
problem Dynamic capital structure models with an investor break-even condition may not generate a contraction mapping.
method Provided an example and used a dual problem and change of measure to prove existence and uniqueness.
result A unique Markov-perfect equilibrium exists where firm decisions reflect state-dependent targets.
Article offers models for choosing sale-leaseback vs debt.
problem Choosing between sale-leaseback and debt for commercial real estate.
method Developed decision models for leasing.
result Models can be applied to various types of leasing.
Debt swaps improve financial networks by optimizing clearing payments and stability.
problem Improving financial network stability and efficiency through debt swaps.
method Analyzing computational complexity of debt swaps, focusing on semi-positive swaps and v-improving swaps.
result Polynomial length of sequences of semi-positive v-improving swaps for ranking-based clearing, but NP-hard for arbitrary v-improving swaps.
This study uses quantile regression to analyze U.S. firms' capital structure across different leverage levels.
problem Empirical determinants of capital structure adjustment in various macroeconomic states.
method Quantile regression method to investigate firm-specific and macroeconomic characteristics.
result Long-term and short-term debt ratios adjust at different speeds, with short-term debt increasing and long-term debt decreasing over time.
Axient handles debt-free finality for leveraged binary event markets.
problem Managing debt and finality in leveraged event positions with uncertain outcomes.
method Axient separates leverage maturity from claim maturity, using a protocol to select smallest sale covering debt.
result Proves robust ex-ante debt clearing and debt-free-finality invariants, maximal residual spot exposure, and payout-vector invariance.
The study examines how climate risk influences sovereign debt default decisions.
problem The relationship between climate risk and sovereign debt default decisions.
method Calibration of a model to analyze the credit spreads of sovereign bonds and the impact of climate vulnerability on bond spreads.
result Climate risk does not significantly influence the decision to default on sovereign debt.
Long-term debt instruments can't be deposit substitutes due to mismatched features.
problem Long-term debt instruments cannot function as deposit substitutes due to their maturity and capital preservation.
method Applied fundamental theory of bond values to 'PEACe Bonds' to show incompatibility.
result Long-term debt instruments cannot be deposit substitutes due to their mismatched features.
The paper analyzes bank decisions in a three-step model, focusing on equity and debt raising.
problem Bank decision-making in a three-time-step model with equity and debt raising.
method Theoretical analysis of raising new equity and debt, considering capital requirements and equity holders constraints.
result Raising equity and debt can increase or decrease return on equity, depending on specific cases.
Recently, there has been a growing interest in network research, especially in these fields of biology, computer science, and sociology. It is natural to address complex financial issues such as the European sovereign debt crisis from the perspective of network. In this article, we construct a network model according t…
We deal with the problem of outsourcing the debt for a big investment, according two situations: either the firm outsources both the investment (and the associated debt) and the exploitation to a private consortium, or the firm supports the debt and the investment but outsources the exploitation. We prove the existence…
Study shows EU countries have worsening debts and deficits.
problem Worsening public debts and deficits in EU countries.
method Statistical analysis of public debts and deficits between EU and non-EU countries.
result EU countries have worse public debts and deficits than non-EU countries, especially after Euro introduction.
The paper develops a model for sovereign debt dynamics with explicit maturity structure.
problem Analyzing the sustainability and risk of long-term sovereign debt issuance.
method Discrete-time model with explicit maturity structure, deterministic and stochastic extensions.
result The model identifies conditions for ergodic convergence and derives analytical formulas for key metrics.
We analyze a new type of debt that rewards investors based on company performance.
problem Challenges in accounting and pricing equity-based debt obligations.
method Formulated and solved the associated mathematical problem in discrete and continuous time settings using FBSDE and decoupling fields.
result Solved the continuous time problem using FBSDE and decoupling fields.
Unified model connects rational and local martingale bubbles to equity risk premium.
problem Connecting two types of financial bubbles and their impact on risk premium.
method Developed a unified modeling framework that includes rational and local martingale bubbles and relates them to equity risk premium.
result Local martingale bubble model includes rational bubble as a special case and relates both to equity risk premium.
During the last two years, Europe has been facing a debt crisis, and Greece has been at its center. In response to the crisis, drastic actions have been taken, including the halving of Greek debt. Policy makers acted because interest rates for sovereign debt increased dramatically. High interest rates imply that defaul…
This paper tackles hidden technical debts in fair ML systems for Fintech.
problem Building fair machine learning systems in financial services.
method Examining key stages of ML system development and deployment.
result Technical debts exist in deploying fair ML systems in Fintech.
I sketch a program for a microeconomic theory of the main component of the business cycle as a recurring disequilibrium, driven by incompleteness of the financial market and by information asymmetries between borrowers and lenders. This proposal seeks to incorporate five distinct but connected processes that have been …
Possible solution of problem of sovereign debts is suggested. At the current moment this solution still can be provided only by methods of the world monetary policy.
Model analyzes inventory growth cycles with debt-financed investment.
problem Understanding inventory growth cycles in economies with debt financing.
method Continuous-time stock-flow consistent model for inventory dynamics.
result Model reveals Kitchin cycles in short-run dynamics.
In this work, I generalize Merton's approach of pricing risky debt to the case where the interest rate risk is modeled by the CIR term structure. Closed form result for pricing the debt is given for the case where the firm value has non-zero correlation with the interest rate. This extends previous closed form pricing …
The paper analyzes debt recycling strategies for mortgage repayment, revealing complex phases of success and failure.
problem Evaluating the effectiveness of debt recycling strategies compared to standard mortgage repayment.
method Developed a dynamical model to study the time evolution of equity and mortgage balance under various conditions.
result The model identifies four phases: strongly successful, weakly successful, default, and permanent re-mortgaging, with sensitivity to initial conditions.
Characterizes critical points in convex double and triple bubbles.
problem Critical points of double and triple bubbles in convex shapes.
method Characterization through stationary varifolds in Rn and R3. result Characterization of critical points in convex shapes.
Covered bonds are a specific example of senior secured debt. If the issuer of the bonds defaults the proceeds of the assets in the cover pool are used for their debt service. If in this situation the cover pool proceeds do not suffice for the debt service, the creditors of the bonds have recourse to the issuer's assets…
Study shows long-term debt impacts financial growth of non-financial firms listed at Nairobi Securities Exchange.
problem Declining financial performance and reluctance to lend to non-financial firms listed at Nairobi Securities Exchange.
method Descriptive and panel data analysis of 45 non-financial firms over 10 years.
result Long-term debt positively and significantly influences financial growth measured by earnings per share and market capitalization.
Current study aims to provide new empirical evidence on the impact of debt on corporate profitability. This impact can be explained by three essential theories: signaling theory, tax theory and the agency cost theory. Using panel data sample of 2240 French non listed companies of service sector during 1999-2006. By uti…
We investigate hierarchical structures of the European countries by using debt as a percentage of Gross Domestic Product (GDP) of the countries as they change over a certain period of time. We obtain the topological properties among the countries based on debt as a percentage of GDP of European countries over the perio…
Survey on soap bubble partitions and their stability.
problem Characterizing and stabilizing soap bubble partitions.
method Survey and analysis of recent research.
result Recent advancements in multi-bubble isoperimetric minimizers and stability.
Bubbles are essential in certain economic models with high growth and low interest rates.
problem Asset price bubbles exceeding fundamental values.
method Developed the Bubble Necessity Theorem in economic models with specific growth and interest rate conditions.
result Bubbles are inevitable in certain economic scenarios with high growth and low interest rates.