Valuation and Optimal Strategies of Convertible Bonds

Valuation and Optimal Strategies of Convertible Bonds

Author: Szu-Lang Liao

Publisher:

Published: 2014

Total Pages:

ISBN-13:

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This paper presents a contingent claim valuation of a callable convertible bond with the issuer's credit risk. The optimal call, voluntary conversion and bankruptcy strategies are jointly determined by shareholders and bondholders to maximize the equity value and the bond value, respectively. Our model not only incorporates tax benefits, bankruptcy costs, refunding costs and a call notice period, but also takes account of the issuer's debt size and structure. The numerical results show that the predicted optimal call policies are generally consistent with recent empirical findings; therefore calling convertible bonds too late or too early can be rational.


World Scientific Reference On Contingent Claims Analysis In Corporate Finance (In 4 Volumes)

World Scientific Reference On Contingent Claims Analysis In Corporate Finance (In 4 Volumes)

Author: Michel Crouhy

Publisher: World Scientific

Published: 2019-01-21

Total Pages: 2039

ISBN-13: 9814759341

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Black and Scholes (1973) and Merton (1973, 1974) (hereafter referred to as BSM) introduced the contingent claim approach (CCA) to the valuation of corporate debt and equity. The BSM modeling framework is also named the 'structural' approach to risky debt valuation. The CCA considers all stakeholders of the corporation as holding contingent claims on the assets of the corporation. Each claim holder has different priorities, maturities and conditions for payouts. It is based on the principle that all the assets belong to all the liability holders.The BSM modeling framework gives the basic fundamental version of the structural model where default is assumed to occur when the net asset value of the firm at the maturity of the pure-discount debt becomes negative, i.e., market value of the assets of the firm falls below the face value of the firm's liabilities. In a regime of limited liability, the shareholders of the firm have the option to default on the firm's debt. Equity can be viewed as a European call option on the firm's assets with a strike price equal to the face value of the firm's debt. Actually, CCA can be used to value all the components of the firm's liabilities, equity, warrants, debt, contingent convertible debt, guarantees, etc.In the four volumes we present the major academic research on CCA in corporate finance starting from 1973, with seminal papers of Black and Scholes (1973) and Merton (1973, 1974). Volume I covers the foundation of CCA and contributions on equity valuation. Volume II focuses on corporate debt valuation and the capital structure of the firm. Volume III presents empirical evidence on the valuation of debt instruments as well as applications of the CCA to various financial arrangements. The papers in Volume IV show how to apply the CCA to analyze sovereign credit risk, contingent convertible bonds (CoCos), deposit insurance and loan guarantees. Volume 1: Foundations of CCA and Equity ValuationVolume 1 presents the seminal papers of Black and Scholes (1973) and Merton (1973, 1974). This volume also includes papers that specifically price equity as a call option on the corporation. It introduces warrants, convertible bonds and taxation as contingent claims on the corporation. It highlights the strong relationship between the CCA and the Modigliani-Miller (M&M) Theorems, and the relation to the Capital Assets Pricing Model (CAPM). Volume 2: Corporate Debt Valuation with CCAVolume 2 concentrates on corporate bond valuation by introducing various types of bonds with different covenants as well as introducing various conditions that trigger default. While empirical evidence indicates that the simple Merton's model underestimates the credit spreads, additional risk factors like jumps can be used to resolve it. Volume 3: Empirical Testing and Applications of CCAVolume 3 includes papers that look at issues in corporate finance that can be explained with the CCA approach. These issues include the effect of dividend policy on the valuation of debt and equity, the pricing of employee stock options and many other issues of corporate governance. Volume 4: Contingent Claims Approach for Banks and Sovereign DebtVolume 4 focuses on the application of the contingent claim approach to banks and other financial intermediaries. Regulation of the banking industry led to the creation of new financial securities (e.g., CoCos) and new types of stakeholders (e.g., deposit insurers).


Valuation of Convertible Bonds when Investors Act Strategically

Valuation of Convertible Bonds when Investors Act Strategically

Author: Christian Koziol

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 216

ISBN-13: 3322820165

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Christian Koziol shows that various conversion strategies for convertible bonds can be optimal which result in different values for stocks and convertible bonds. A comparative static analysis examines the differences between the properties of the optimal conversion strategies and between the asset values for three conversion variants.


Pricing Corporate Securities as Contingent Claims

Pricing Corporate Securities as Contingent Claims

Author: Kenneth D. Garbade

Publisher: MIT Press

Published: 2001

Total Pages: 442

ISBN-13: 9780262072236

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Bringing together developments from the past 30years in contingent valuation, this book examines the relative value of securities in a corporation's capital structure, including debt of different priorities, convertible debt, common stock, and warrants.


Essays on Contingent Claims Pricing Subject to Credit Risk

Essays on Contingent Claims Pricing Subject to Credit Risk

Author:

Publisher:

Published:

Total Pages: 0

ISBN-13:

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This dissertation includes three essays, which investigate contingent claims pricing subject to credit risk based on the structural approach and analyze associated issues of corporate finance. The first essay develops and examines a partial equilibrium model to investigate the effects of macroeconomic condition and firm-level productivity shocks on the determination of optimal debt ratio. The model extends the contingent-claims models of the firm's capital structure by incorporating both the industry demand and firm-level supply factors into the firm's earnings and unlevered asset value. Our model predicts that the optimal debt ratio is negatively correlated to the macroeconomic conditions and the firm-level productivity. Furthermore, the theoretical implications are totally supported by the pooled feasible generalized least squares estimation with 311 Taiwanese listed manufacturing firms' quarterly data over the period from 1994 to 2003. The differences between the high-tech electronics and other manufacturing firms are also investigated, and particularly the high-tech firms are not tied up with the macroeconomic conditions while the others are. The second essay presents a contingent claim valuation of a callable convertible bond with the issuer's credit risk. The optimal call, voluntary conversion and bankruptcy strategies are jointly determined by shareholders and bondholders to maximize the equity value and the bond value, respectively. Our model not only incorporates tax benefits, bankruptcy costs, refunding costs and a call notice period, but also takes account of the issuer's debt size and structure. The numerical results show that the predicted optimal call policies are generally consistent with recent empirical findings; therefore calling convertible bonds too late or too early can be rational. The third essay provides a closed-form valuation formula for the Black-Scholes options subject to interest rate risk and credit risk. Not only does our model allow f.


Optimal Policies of Call with Notice Period Requirement for Callable American Warrants and Convertible Bonds

Optimal Policies of Call with Notice Period Requirement for Callable American Warrants and Convertible Bonds

Author: Min Dai

Publisher:

Published: 2006

Total Pages: 44

ISBN-13:

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When an American warrant or convertible bond is called by its issuer, the holder is usually given a notice period to decide either selling the derivative back to the issuer at the call price or exercising the conversion right. Several earlier papers have shown that such notice period requirement may substantially affect the optimal call policy adopted by the issuer. In this paper, we perform theoretical studies on the impact of the notice period requirement on issuer's optimal call policy for American warrants and convertible bonds. We also examine how the optimal call policy of the issuer interacts with holder's optimal conversion policy.


Financial Analysis, Planning & Forecasting

Financial Analysis, Planning & Forecasting

Author: Alice C. Lee

Publisher: World Scientific

Published: 2009

Total Pages: 1134

ISBN-13: 9812706089

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New Professor Cheng-Few Lee ranks #1 based on his publications in the 26 core finance journals, and #163 based on publications in the 7 leading finance journals (Source: Most Prolific Authors in the Finance Literature: 1959-2008 by Jean L Heck and Philip L Cooley (Saint Joseph's University and Trinity University). Based on the authors' extensive teaching, research and business experiences, this book reviews, discusses and integrates both theoretical and practical aspects of financial planning and forecasting. The book is divided into six parts: Information and Methodology for Financial Analysis, Alternative Finance Theories and Their Application, Capital Budgeting and Leasing Decisions, Corporate Policies and Their Interrelationships, Short-term Financial Decisions, Financial Planning and Forecasting, and Overview.The theories used in this book are pre-Modigliani-Miller Theorem, Modigliani-Miller Theorem, Capital Asset Pricing Model and Arbitrage Pricing Theory, and Option Pricing Theory. The interrelationships among these theories are carefully analyzed. Meaningful real-world examples of using these theories are discussed step-by-step, with relevant data and methodology. Alternative planning and forecasting models are also used to show how the interdisciplinary approach is helpful in making meaningful financial management decisions.


Revisiting Optimal Call Policy for Convertibles

Revisiting Optimal Call Policy for Convertibles

Author: Alexander W. Butler

Publisher:

Published: 2002

Total Pages:

ISBN-13:

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When a company calls its convertible bonds, it typically must give the convertible bondholders a notice period of approximately 30 days to decide whether to convert the bonds. This important institutional detail substantially affects the optimal call policy for convertible bonds. When the company calls the bonds, it fixes the price at which bondholders can redeem them, effectively giving bondholders a 30-day put option. The optimal time to call the convertibles minimizes the value of the conversion option net of the put option. This optimization problem is solved here, and a simple decision rule for the company results. This solution contains those of previous researchers as a special case.