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This paper derives -- considering a Gaussian setting -- closed form solutions of the statistics that Adrian and Brunnermeier and Acharya et al. have suggested as measures of systemic risk to be attached to individual banks. The statistics…

风险管理 · 定量金融 2012-11-20 Manfred Jaeger-Ambrozewicz

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…

统计力学 · 物理学 2015-06-25 D. F. Wang

The paper studies a system of Hamilton-Jacobi equations, arising from a stochastic optimal debt management problem in an infinite time horizon with exponential discount, modeled as a noncooperative interaction between a borrower and a pool…

最优化与控制 · 数学 2019-10-29 Rossana Capuani , Steven Gilmore , Khai T. Nguyen

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…

统计力学 · 物理学 2008-12-10 D. F. Wang

We analyze the consumption-portfolio selection problem of an investor facing both Brownian and jump risks. We bring new tools, in the form of orthogonal decompositions, to bear on the problem in order to determine the optimal portfolio in…

概率论 · 数学 2009-06-15 Yacine Aït-Sahalia , Julio Cacho-Diaz , T. R. Hurd

We propose an option approach for pricing bond illiquidity that is reminiscent of the celebrated work of Longstaff (1995) on the non-marketability of some non-dividend-paying shares in IPOs. This approach describes a quite common situation…

证券定价 · 定量金融 2020-05-07 Roberto Baviera , Aldo Nassigh , Emanuele Nastasi

Changes in collateralization have been implicated in significant default (or near-default) events during the financial crisis, most notably with AIG. We have developed a framework for quantifying this effect based on moving between…

风险管理 · 定量金融 2013-02-20 Chris Kenyon , Andrew Green

This paper analyzes the hypothesis that returns play a risk-compensating role in the market for corporate revolving lines of credit. Specifically, we test whether borrower risk and the expected return on these debt instruments are…

综合经济学 · 经济学 2024-01-24 Miguel A. Duran

In this paper is investigated the pricing problem of options on bonds with credit risk based on analysis on two kinds of solving problems for the Black-Scholes equations. First, a solution representation of the Black-Scholes equation with…

证券定价 · 定量金融 2021-11-03 Hyong-Chol O , Tae-Song Kim , Tae-Song Choe

Option pricing is an integral part of modern financial risk management. The well-known Black and Scholes (1973) formula is commonly used for this purpose. This paper is an attempt to extend their work to a situation in which the…

证券定价 · 定量金融 2013-04-18 Youssef El-Khatib , Abdulnasser Hatemi-J

Option contracts are a type of financial derivative that allow investors to hedge risk and speculate on the variation of an asset's future market price. In short, an option has a particular payout that is based on the market price for an…

计算金融 · 定量金融 2012-02-14 Jacob Abernethy , Rafael M. Frongillo , Andre Wibisono

Financial contracts with options that allow the holder to extend the contract maturity by paying an additional fixed amount found many applications in finance. Closed-form solutions for the price of these options have appeared in the…

证券定价 · 定量金融 2015-07-08 Pavel V. Shevchenko

Transition risk can be defined as the business-risk related to the enactment of green policies, aimed at driving the society towards a sustainable and low-carbon economy. In particular, the value of certain firms' assets can be lower…

证券定价 · 定量金融 2023-03-23 Giulia Livieri , Davide Radi , Elia Smaniotto

After the beginning of the credit and liquidity crisis, financial institutions have been considering creating a convertible-bond type contract focusing on Capital. Under the terms of this contract, a bond is converted into equity if the…

证券定价 · 定量金融 2013-02-28 Damiano Brigo , João Garcia , Nicola Pede

We study what changes to an agent's decision problem increase her value for information. We prove that information becomes more valuable if and only if the agent's reduced-form payoff in her belief becomes more convex. When the…

理论经济学 · 经济学 2026-04-17 Mark Whitmeyer

We test a regime-conditional functional-form restriction on aggregate risk-exposure dynamics implied by VaR-constrained intermediary models: exposures contract multiplicatively when capital constraints bind and grow additively…

风险管理 · 定量金融 2026-04-28 Liang Chen

We introduce a model in which a regulator employs mechanism design to embed her human capital beta signal(s) in a firm's capital structure, in order to enhance the value of her post career change indexed executive stock option contract with…

风险管理 · 定量金融 2013-12-31 Godfrey Charles-Cadogan , John A. Cole

We develop a generalization of the Black-Cox structural model of default risk. The extended model captures uncertainty related to firm's ability to avoid default even if company's liabilities momentarily exceeding its assets. Diffusion in a…

风险管理 · 定量金融 2011-01-05 Yuri A. Katz , Nikolai V. Shokhirev

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…

风险管理 · 定量金融 2016-04-22 Dirk Tasche

We consider a singular control problem with regime switching that arises in problems of optimal investment decisions of cash-constrained firms. The value function is proved to be the unique viscosity solution of the associated…

计算金融 · 定量金融 2016-10-07 Erwan Pierre , Stéphane Villeneuve , Xavier Warin
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