Calibration and implementation of convertible bond models

2003 ◽  
Vol 7 (2) ◽  
pp. 1-34 ◽  
Author(s):  
Leif Andersen ◽  
Dan Buffum
Keyword(s):  
2019 ◽  
Author(s):  
Milad Nozari ◽  
Michael Pascutti ◽  
Heather Tookes

2021 ◽  
pp. 2150007
Author(s):  
Zhiqiang Zhang ◽  
Zhenfang Wang ◽  
Xiaowei Chen

This paper is devoted to evaluating the convertible bonds within the framework of uncertainty theory. Under the assumption that the underlying stock price follows an uncertain differential equation driven by Liu process, the price formulas of convertible bonds and the callable convertible bonds are derived by using the method of uncertain calculus. Finally, two numerical examples are discussed.


2008 ◽  
Vol 11 (08) ◽  
pp. 905-941 ◽  
Author(s):  
ERIC C. K. YU ◽  
WILLIAM T. SHAW

We propose a general approach that requires only a simple change of variable that keeps the valuation of call and put options (convertible bonds) with strike (conversion) price resets two-dimensional in the classical Black–Scholes setting. A link between reset derivatives, compound options and "discrete barrier" type options, when there is one reset is then discussed, from which we analyze the risk characteristics of reset derivatives, which can be significantly different from their vanilla counterparts. We also generalize the prototype reset structure and show that the delta and gamma of a convertible bond with reset can both be negative. Finally, we show that the "waviness" property found in the delta and gamma of some reset derivatives is due to the discontinuous nature of the reset structure, which is closely linked to digital options.


2003 ◽  
Author(s):  
Sudip Datta ◽  
Mai E. Iskandar-Datta ◽  
Kartik Raman

IIUC Studies ◽  
2016 ◽  
pp. 127-144
Author(s):  
Abu Hanifa Md Noman Bin Alam ◽  
Serajul Islam ◽  
Nazneen Jahan Chy

Bond market plays a vital role in economic development of a country. Bond market provides long term finance to issuers by creating alternative source of finance through stock market, besides providing stable source of income to investors against volatile stock market. However, Bangladesh corporate Bond market is at very initial stage. Hence, it is needed to make an analysis of investors’ attitude towards corporate bonds in Bangladesh for determining investors finding on the issue. The study is limited to performance evaluation of three corporate bonds in corporate bond market in Bangladesh and investigate investors attitude towards it. We have collected secondary information from DSE web site and processed through SPSS to make performance analysis and collected primary data from investors of some brokerage houses in Chittagong metro through questionnaire survey for analyzing investors’ attitude towards corporate bond market. The study has found that price stability of ACI zero coupon bond is more than IBBL Perpetual Mudaraba Bond and BRAC subordinated convertible bond and it is also found that only 5% of respondents prefers to invest in corporate bonds due to lack of supply of corporate bond, lack of investors’ awareness, inadequate market regulations etc.IIUC Studies Vol.10 & 11 December 2014: 127-144


Analytical approximations for the price of a convertible bond within defaultable Markov diffusion models are derived in this article. Because convertible bond pricing requires time-consuming finite difference or tree pricing methods in general, such proxy formulas can help to calibrate model parameters more efficiently. The derivation is based on the idea of “Europeanizing” the American conversion option of the holder. Hence, the quality of the approximations stands and falls with the value of the early conversion premium. In practice, the latter is typically close to zero, which implies that the analytical lower bounds are incredibly sharp.


2020 ◽  
Vol 6 (2) ◽  
pp. p104
Author(s):  
Yuxin Tian ◽  
Jun Chen

Convertible bond is a type of hybrid security with both bond- and stock-like features. The Chinese market of convertible bonds has developed dramatically during the last decade. This paper will conduct a comprehensive analysis of this market. Firstly, a brief introduction of convertible bond and the historical evolution of this market in China is presented, then we analyze various investment risks related to convertible bonds. Next, this paper proposes the basic valuation model for convertible bonds, which is the Black-Scholes model and modifies it by taking the delusion effect of conversion into account, leading to the Gailai-Schneller model. In addition, the differences of the outcomes obtained by these two models are compared and analyzed based on the pricing of Shanghai Electric convertible bond. In the sixth part, this paper mainly explains two types of applications of convertible bonds in portfolio management. In the end, several problems existing in Chinese convertible market as well as some suggestions for solving them are discussed.


2020 ◽  
Author(s):  
Peter Zeitsch ◽  
Matthew Hyatt ◽  
Tom Davis ◽  
Xi Liu

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