Knock-In and Stocks Market Effect Due to ELS Issuance and Hedging

2015 ◽  
Vol 23 (2) ◽  
pp. 289-321
Author(s):  
Hyuncheul Lim ◽  
Youngsoo Choi

In this paper we analyze the shortfall risk implied in the auto call step down equity linked securities (ELS) based on two underlying assets, which is a major product of the rapidly growing ELS market as the low interest rate environment continues. And we also present the hedging strategies for managing shortfall risk. In the position of auto call step down ELS issuer, 1) until the underlying asset price reaches at knock-in (KI) level, the delta of the underlying is continually and significantly increased in order to hedge the short position of the Down and Out (DO) option and the long position of the put option inherent in ELS, 2) however, the hedger must reduce this delta as soon as the underperformed underlying price touches KI level, which triggers the vanishing of the DO option. As a way to manage these shortfall risks, this paper proposes two new hedging strategies of minimizing these shortfall risks and depending on the KI probability. Also this paper shows that these hedging strategies provide better performance than traditional BS hedging strategy when these hedging strategies are applied to a sample product with real market data. As the policy proposals, first, in order to prevent the concentration of the KI prices, ELS issue amount based on the same underlying is needed to be determined in consideration of both the average market trading volume and maximum leverage delta. Second, in the realm of pin risk such as Knock-In or Knock-Out, where the leverage increases, it is recommended to mitigate the risk management delta limit based on the BS model which is made under the assumption of continuous hedging infinitesimally.

2016 ◽  
Vol 24 (3) ◽  
pp. 423-455
Author(s):  
Kyunghee Lee ◽  
Hyuncheul Lim ◽  
Youngsoo Choi

In this paper, we analyze the hedging risk intrinsic in the auto call step down equity linked securities (ELS) based on two underlying indices including HSCEI, which are major products of the ELS market. And we also propose new hedging strategies based on Conditional Value at Risk (CVaR) using stocks portfolio and futures. Due to the non-symmetric bimodal distribution for return of ELS, which comes from the Knock-In (KI) property inherent in step down ELS structure, and inherent shortfall risk in the ELS structure, a local delta hedging strategy has a limit. In addition, hedging using futures are difficult because of 1) frequent roll-over related with HSCEI futures, 2) price difference between underlying index and futures and 3) lack of futures liquidity caused by excessive ELS issue based on HSCEI. As a way to manage these problems, this paper proposes new hedging strategies : First, construct stocks portfolio tracking index using method suggested by Rockafellar and Uryasev (2002), Alexander, Coleman and Li (2006). Second, do hedging by using this stocks portfolio and futures. This paper shows that 1) index-tracking stocks portfolio based on CVaR has a better performance and lower shortfall risk than index by comparing market ratio, information ratio and Sharpe Ratio, and 2) hedging using stocks portfolio is better than futures. As the policy proposals, if ETF, which tracks the underlying indices of ELS based on CVaR, is to be listed on the exchange (KRX), various kinds of product structures for mid-risk-mid-return structured products will be able to develop further, as well as offer more convenience with hedging.


2004 ◽  
Vol 23 (4) ◽  
pp. 795-829 ◽  
Author(s):  
Ho-Mou Wu ◽  
Wen-Chung Guo

Author(s):  
Martina Bobriková

The paper focuses on valuation of a weather derivative with payoffs depending on temperature. We use historical data from the weather station in the Slovak town Košice to obtain unique prices of option contracts in an incomplete market. Numerical examples of prices of some contracts are presented, using the Burn analysis. We provide an example of how a weather contract can be designed to hedge the financial risk of a suboptimal temperature condition. The comparative comparison of the selected option hedging strategies has shown the best results for the producers in agricultural industries who hedges against an unfavourable weather conditions. The results of analysis proved that by buying put option or call option, the farmer establishes the highest payoff in the case of temperature decrease or increase. The Long Straddle Strategy is the most expensive but is available to the farmer who hedges against a high volatility in temperature movement. We conclude with the findings that weather derivatives could be useful tools to diminish the financial losses for agricultural industries highly dependent for temperature.


2019 ◽  
Vol 06 (04) ◽  
pp. 1950032 ◽  
Author(s):  
Mattia Fabbri ◽  
Pier Giuseppe Giribone

The paper presents a series of advanced lattice methods aimed at evaluating an EAKO European-American Knock-Out contract. The first part of the paper deals with the numerical methods implemented for pricing: Binomial and Trinomial Stochastic trees, Adaptive Mesh Model, Pentanomial and Heptanomial lattice. In the second part, specific tests are designed to validate the code written in Matlab language. The study concludes by applying the most performing model to a real market case.


2016 ◽  
Vol 32 (2) ◽  
Author(s):  
Michał Barski

AbstractThe issue of constructing a risk minimizing hedge under an additional almost-surely type constraint on the shortfall profile is examined. Several classical risk minimizing problems are adapted to the new setting and solved. In particular, the bankruptcy threat of optimal strategies appearing in the classical risk minimizing setting is ruled out. The existence and concrete forms of optimal strategies in a general semimartingale market model with the use of conditional statistical tests are proven. The quantile hedging method applied in [Finance Stoch. 3 (1999), 251–273; Finance Stoch. 4 (2000), 117–146] as well as the classical Neyman–Pearson lemma are generalized. Optimal hedging strategies with shortfall constraints in the Black–Scholes and exponential Poisson model are explicitly determined.


2005 ◽  
Vol 2005 (1) ◽  
pp. 19-29 ◽  
Author(s):  
Frank H. Westerhoff

We seek to develop a novel asset pricing model with heterogeneous traders. Fundamental traders expect that asset prices converge towards their intrinsic values, whereas chart traders rely on both price and volume signals to determine their orders. To be precise, the larger the trading volume, the more they believe in the persistence of the current price trend. Simulations of our nonlinear deterministic model reveal that interactions between fundamentalists and chartists may cause intricate endogenous price fluctuations. Contrary to the intuition, we find that chart trading may increase market stability.


Filomat ◽  
2018 ◽  
Vol 32 (8) ◽  
pp. 2813-2824
Author(s):  
Sultan Hussain ◽  
Salman Zeb ◽  
Muhammad Saleem ◽  
Nasir Rehman

We consider discrete time hedging error of the American put option in case of brusque fluctuations in the price of assets. Since continuous time hedging is not possible in practice so we consider discrete time hedging process. We show that if the proportions of jump sizes in the asset price are identically distributed independent random variables having finite moments then the value process of the discrete time hedging uniformly approximates the value process of the corresponding continuous-time hedging in the sense of L1 and L2-norms under the real world probability measure.


2018 ◽  
Vol 3 (3) ◽  
pp. 256-275
Author(s):  
Shiyuan Zheng ◽  
Shun Chen

Purpose This study aims to propose a theoretical model to characterize the optimal forward freight agreement (FFA) procurement strategies and investigate the determinants of FFA trading activities from a new cross-market perspective. Findings A two-step model specification is used to empirically test the theoretical results for the Capesize, Panamax and Supramax sectors. It is found that spot demand has a positive relation with FFA trading volume for all three sectors. Moreover, spot demand volatility has a negative relation, while the correlation between spot demand and spot rate has a positive relation with FFA trading volume for the Capesize and Panamax sectors. Originality/value The results show that the expected spot demand is scaled by a “quantity premium,” which is the product of a demand covariance term, a demand riskiness term and a demand volatility term. This can be used by the traders in the FFA market to construct their hedging strategies.


2002 ◽  
Vol 05 (04) ◽  
pp. 427-446 ◽  
Author(s):  
DAMIANO BRIGO ◽  
FABIO MERCURIO

We introduce a general class of analytically tractable models for the dynamics of an asset price based on the assumption that the asset-price density is given by the mixture of known basic densities. We consider the lognormal-mixture model as a fundamental example, deriving explicit dynamics, closed form formulas for option prices and analytical approximations for the implied volatility function. We then introduce the asset-price model that is obtained by shifting the previous lognormal-mixture dynamics and investigate its analytical tractability. We finally consider a specific example of calibration to real market option data.


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