• Korean Journal of Mathematics
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• v.14 no.2
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• pp.185-202
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• 2006

In this paper, using the Black-Scholes analysis, we will derive the partial differential equation of convertible bonds with both non-stochastic and stochastic interest rate. We also find numerical solutions of convertible bonds equation with known interest rate using the finite element method.

• Korean small business review
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• v.42 no.3
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• pp.173-193
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• 2020

This study analyzes the effects of KOSDAQ-listed firms' convertible bonds, which have recently increased rapidly in number and size. Although KOSDAQ companies are called mid-size companies, KOSDAQ companies belong to SMEs. Furthermore, convertible bonds have traditionally been a critical capital raising tool for SMEs in the US and Europe. In Korea, KOSDAQ companies actively employ convertible bonds. Convertible bonds provide investment incentives for hesitant investors, allowing companies to raise capital at low interest rates. This study analyzes whether capital raising through issuance of convertible bonds by KOSDAQ companies affects their financial constraints. Financial constraints result from incomplete capital markets, which are embedded in most companies and countries.. In particular, financial constraints have a significant impact on the growth and survival of SMEs. The seminal study FHP(1988) is the most important and effective study of firm's financial constraints. We find that FHP's financial constraint measures show that convertible bond issuance would mitigate the financial constraints of KOSDAQ companies. However, the significance of the evidence is not strong.

• Journal of Korean Institute of Industrial Engineers
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• v.43 no.1
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• pp.30-38
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• 2017

Contingent convertible (Coco) bonds have been issued in 2009 after financial crisis for improvement of capital structure in international banks. With more focuses on coco bonds in financial market, academic fields have paid attention to the instrument for optimal structure for issuers and rational pricing methodologies. However, there is a crucial discrepancy in prevailing pricing model and their target subjects. Though most of the coco bonds have been issued based on accounting triggers, many of existing models are based on market prices and therefore exhibit limitations in practical use. In this paper, a more practical pricing method for accounting triggered coco bonds is proposed using stochastic equity ratio process. Empirical results tested on coco bond issued by JB financial group supported the proposed approach with favorable performance in tracking actual market prices.

• The Korean Journal of Financial Studies
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• v.3 no.1
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• pp.267-299
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• 1996

The takeover boom of the 1980s was accompanied by a series of innovations in debt contracts, including the poison put that allows bonds to be redeemed in the event of a corporate control change. The poison put was included in a large majority of convertible debt offerings, shortly after the first issues with such provisions. We attempt to understand the factors that contributed to the widespread adoption of this innovation in convertible bonds and the consequences for shareholder wealth. Our, findings suggest that by reducing the potential for bondholder-shareholder conflicts and by conveying positive information about future takeover prospect'5, poison puts result in significant benefits to issuing firm shareholders, particularly if the firm is under takeover speculation. There are, however, no benefits when a firm has adopted anti-takeover measures prior to the offering. There is weaker evidence that existing bondholders do worse when poison puts are present.

• Korean Management Science Review
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• v.28 no.2
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• pp.1-16
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• 2011

In this study we suggested two optimization models to answer a question from an investor standpoint : how many convertible bonds should one convert, and how many keep? One model minimizes certain risk to the minimum required expected return, the other maximizes the expected return subject to the maximum acceptable risk. In comparison with Markowitz portfolio models, which use the variance of return, our models used Conditional Value-at-Risk(CVaR) for risk measurement. As a coherent measurement, CVaR overcomes the shortcomings of Value-at-Risk(VaR). But there are still difficulties in solving CVaR including optimization models. For this reason, we adopted Rockafellar and Uryasev's[18, 19] approach. Then we could approximate the models as linear programming problems with scenarios. We also suggested to extend the models with credit risk, and applied examples of our models to Hynix 207CB, a convertible bond issued by the global semiconductor company Hynix.

• Korean Management Science Review
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• v.30 no.3
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• pp.55-70
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• 2013

In this study we suggested two optimization models to determine conversion weight of convertible bonds. The problem of this study is same as that of Park and Shim [1]. But this study used Value-at-Risk (VaR) for risk measurement instead of CVaR, Conditional-Value-at-Risk. In comparison with conventional Markowitz portfolio models, which use the variance of return, our models used VaR. In 1996, Basel Committee on Banking Supervision recommended VaR for portfolio risk measurement. But there are difficulties in solving optimization models including VaR. Benati and Rizzi [5] proved NP-hardness of general portfolio optimization problems including VaR. We adopted their approach. But we developed efficient algorithms with time complexity O(nlogn) or less for our models. We applied examples of our models to the convertible bond issued by a semiconductor company Hynix.

• Journal of the Korea Convergence Society
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• v.12 no.10
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• pp.81-88
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• 2021

Convertible bonds are financial products that contain the nature of both bonds and shares, which are generally issued by companies with lower credit ratings to increase liquidity. Conversion bonds rely on qualitative judgment in the past, although decision-making on whether and when to exercise the right to convert is the most important issue. Therefore, this paper proposes to apply artificial neural network techniques to scientifically determine the exercise of conversion rights. We distinguish between a total of 1,800 learning data published in the past and 200 predictive experimental data and build an artificial neural network learning model. As a result, the parity performance in most groups was excellent, achieving an average excess of about 10% or more. In particular, groups 3-6 recorded an average excess of about 20% and group 6 recorded an average excess of about 37%. This paper is meaningful in that it focused on solving decision problems by converging and applying machine learning techniques, a representative technology of the fourth industry, to the financial sector.

• The Korean Journal of Financial Management
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• v.26 no.3
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• pp.1-29
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• 2009

Since convertible debt has both characteristics of stocks and bonds, its issuance can be related to both interests of stockholders and bondholders. Nevertheless, the existing studies focused mainly on the wealth effect on stockholders. In this paper we revisit the hypotheses on the issue of convertible debt especially from the viewpoint of a firm's growth, by making an additional investigation into bondholders' wealth effects. We find that stockholders' wealth increases with bondholders' wealth in the firm whose book-to-market ratio is low and thus is considered a growth firm. This finding seems consistent with the hypothesis in which the issue of convertible debt mitigates the agency cost of debt in the high-growth firm.

• KDI Journal of Economic Policy
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• v.41 no.4
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• pp.1-44
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• 2019

The contingent convertible bond (or CoCo) is designed as a bail-in tool, which is written down or converted to equity if the issuing bank is seriously troubled and thus its trigger is activated. The trigger could either be rule-based or discretion-based. I show theoretically that the bail-in is less implementable and that the associated bail-in risk is lower if the trigger is discretion-based, as governments face greater political pressure from the act of letting creditors take losses. The political pressure is greater because governments have the sole authority to activate the trigger and hence can be accused of having 'blood on their hands'. Furthermore, the pressures could be augmented by investors' self-fulfilling expectations with regard to government bailouts. I support this theoretic prediction with empirical evidence showing that the bail-in risk premiums on CoCos with discretion-based triggers are on average 1.13 to 2.91%p lower than CoCos with rule-based triggers.

• The Korean Journal of Financial Management
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• v.20 no.2
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• pp.1-39
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• 2003

Using a comprehensive sample of convertible security offerings by Korean firms from 1981 to 1999, we examine the effect of convertible bond issues on firm value. We find that the announcement of convertible bond issues has a positive effect on firm value. However, the announcement of private convertible bond issues by chaebol firms has a significant negative effect on their market values. This result is different from that in Japan, suggesting that the efficiency of the financing decision by Korean chaebol is different from that by Japanese keiretsu. In addition, we find that the announcement effect of private convertible bond issues by chaebol firms has a significant relation with the corporate governance variables such as ownership structure, bank relationship. These results indicate that convertible bond issues can be used as a mechanism for chaebol owner-manager to give rise agency problems at the expense of the wealth of minority shareholders.