Hedging, referring to the use of various lexical and syntactic features modifying and mitigating propositions and claims, is extensively employed in effective academic writing. However, the use of hedges seems to be q...Hedging, referring to the use of various lexical and syntactic features modifying and mitigating propositions and claims, is extensively employed in effective academic writing. However, the use of hedges seems to be quite problematic for lots of Chinese ESL learners. In view of the situation, this study explores the use of hedges in academic abstracts by a group of undergraduate English majors in a university in Hainan Province. After analyzing data from a corpus and interviews, several problems have been found in the use of hedging devices of these students, and relevant implications have been drawn to the teaching of hedging in the context, which can help the students produce more effective academic writing and to achieve greater university success.展开更多
This study examines the hedging effectiveness of financial innovations against crude oil investment risks,both before and during the COVID-19 pandemic.We focus on the non-energy exchange traded funds(ETFs)as proxies f...This study examines the hedging effectiveness of financial innovations against crude oil investment risks,both before and during the COVID-19 pandemic.We focus on the non-energy exchange traded funds(ETFs)as proxies for financial innovations given the potential positive correlation between energy variants and crude oil proxies.We employ a multivariate volatility modeling framework that accounts for important statistical features of the non-energy ETFs and oil price series in the computation of optimal weights and optimal hedging ratios.Results show evidence of hedging effectiveness for the financial innovations against oil market risks,with higher hedging performance observed during the pandemic.Overall,we show that sectoral financial innovations provide resilient investment options.Therefore,we propose that including the ETFs in an investment portfolio containing oil could improve risk-adjusted returns,especially in similar financial crisis as witnessed during the pandemic.In essence,our results are useful for investors in the global oil market seeking to maximize risk-adjusted returns when making investment decisions.Moreover,by exploring the role of structural breaks in the multivariate volatility framework,our attempts at establishing robustness for the results reveal that ignoring the same may lead to wrong conclusions about the hedging effectiveness.展开更多
In this article an attempt to enhance the awareness of hedging use in discourse analysis and academic writing is madeby analyzing hedges employed in two comparable texts.The discourse analysis is conducted from"c...In this article an attempt to enhance the awareness of hedging use in discourse analysis and academic writing is madeby analyzing hedges employed in two comparable texts.The discourse analysis is conducted from"content-oriented"hedges and"reader-oriented"hedges.The article suggests that hedging can dampen utterances and statements,weaken the force of what onesays and show politeness to the listeners or readers,which varies from different discourse styles of various genres.discourse marker;hedging;research article;news展开更多
In this paper we investigate asymptotic behavior of error of a discrete time hedging strategy in a fractional Black-Scholes model in the sense of Wick-ItS-Skorohod integration. The rate of convergence of the hedging e...In this paper we investigate asymptotic behavior of error of a discrete time hedging strategy in a fractional Black-Scholes model in the sense of Wick-ItS-Skorohod integration. The rate of convergence of the hedging error due to discrete-time trading when the true strategy is known for the trader, is investigated. The result provides new statistical tools to study and detect the effect of the long-memory and the Hurst parameter for the error of discrete time hedging.展开更多
The hedging problem for insiders is very important in the financial market.The locally risk minimizing hedging was adopted to solve this problem.Since the market was incomplete,the minimal martingale measure was chose...The hedging problem for insiders is very important in the financial market.The locally risk minimizing hedging was adopted to solve this problem.Since the market was incomplete,the minimal martingale measure was chosen as the equivalent martingale measure.By the F-S decomposition,the expression of the locally risk minimizing strategy was presented.Finally,the local risk minimization was applied to index tracking and its relationship with tracking error variance (TEV)-minimizing strategy was obtained.展开更多
Under the background of energy conservation, the grid companies should give priority to consumptive hydropower, wind power and other clean electricity to fulfill their social responsibility and promote the carbon emis...Under the background of energy conservation, the grid companies should give priority to consumptive hydropower, wind power and other clean electricity to fulfill their social responsibility and promote the carbon emission reduction in power industry. But under the current power purchase mode, grid companies must first perform the contract. This is extremely uneconomical and not environmentally friendly. Based on hedging theory, this paper proposes a power purchase optimization model using the strategy of “compression and compensation”. If outer price is lower than the contract price, the grid can compress contract power appropriately, leaving more space for purchasing electricity;if outer price is not attractive enough, the grid should timely improve contract proportion, compensating the deviations of contract caused by "compression". Based on the strategy of "compression and compensation", it can effectively reduce the abandoned wind and water, enhance the economic and social benefits of provincial power grid.展开更多
Based on two different risk measurement criteria, this article studied the optimal hedging strategies of stock index futures in the case of asymmetric information, and discussed the influence of insider information on...Based on two different risk measurement criteria, this article studied the optimal hedging strategies of stock index futures in the case of asymmetric information, and discussed the influence of insider information on the hedging effect. Through simulation analysis, it can be shown that hedging people with insider information can save hedging costs to a certain extent, which also explains the reason why investors try to obtain corporate information in actual investment activities.展开更多
The editorials of the opinion column in a newspaper express the view of its editors. The application of hedging devices isemployed, in order to support the writers' writing. In this study, the data were gathered f...The editorials of the opinion column in a newspaper express the view of its editors. The application of hedging devices isemployed, in order to support the writers' writing. In this study, the data were gathered from 15 editorials in the opinion column ofChina Daily: 5 editorials are about world issues, the other 5 editorials about Chinese social life, and the last 5 editorials are the edu-cational issues popularly discussed in China. The categorization of hedging devices draws from salvager-Meyer's paper Hedges and Textual Communicative Function in Medical English Written Discourse(1994, p. 154) and Mojica(2005, p. 3). Results revealed thatmost writers of the editorials opted to use approximators and modals. Furthermore, the hedging devices used in the selected editori-als on China Daily mainly had three functions: Show respects of the people or organization or in order for protection; in order to pub-lish timely; and make the prediction more reliable. In general, the Chinese writers seem to be conscious to use hedges appropriatelyin order to make their writing more reliable and avoid some arguments or disparagement.展开更多
Hedges in academic writing are drawn attention by scholars. Hedging devices enable writers to express their uncertainty con-cerning the factuality of their statements or to indicate deference to their readers. In this...Hedges in academic writing are drawn attention by scholars. Hedging devices enable writers to express their uncertainty con-cerning the factuality of their statements or to indicate deference to their readers. In this paper,ten English linguistic academic articles written by Chinese scholars were chosen for the study. Hedges were categorized to four types. The analysis showed the total number of hedges per category in all articles. The results indicated that modals/probabilities and semi-auxiliaries or epistemic verbs were preferred by Chinese linguists. It is suggested that for non-native English speakers mastery of hedging devices is requisite in their graduate programs.展开更多
This is a corpus-based contrastive study projected to find out the differences in using hedges in English business corre spondences between Chinese English learners and native speakers.
It is important to consider the changing states in hedging.The Markov regime-switching dynamic correlation multivariate stochastic volatility( MRS-DC-MSV) model was proposed to solve this issue. DC-MSV model and MRS-D...It is important to consider the changing states in hedging.The Markov regime-switching dynamic correlation multivariate stochastic volatility( MRS-DC-MSV) model was proposed to solve this issue. DC-MSV model and MRS-DC-MSV model were used to calculate the time-varying hedging ratios and compare the hedging performance. The Markov chain Monte Carlo( MCMC) method was used to estimate the parameters. The results showed that,there were obviously two economic states in Chinese financial market. Two models all did well in hedging,but the performance of MRS-DCMSV model was better. It could reduce risk by nearly 90%. Thus,in the hedging period,changing states is a factor that cannot be neglected.展开更多
We study robust notions of good-deal hedging and valuation under combined uncertainty about the drifts and volatilities of asset prices.Good-deal bounds are determined by a subset of risk-neutral pricing measures such...We study robust notions of good-deal hedging and valuation under combined uncertainty about the drifts and volatilities of asset prices.Good-deal bounds are determined by a subset of risk-neutral pricing measures such that not only opportunities for arbitrage are excluded but also deals that are too good,by restricting instantaneous Sharpe ratios.A non-dominated multiple priors approach to model uncertainty(ambiguity)leads to worst-case good-deal bounds.Corresponding hedging strategies arise as minimizers of a suitable coherent risk measure.Good-deal bounds and hedges for measurable claims are characterized by solutions to secondorder backward stochastic differential equations whose generators are non-convex in the volatility.These hedging strategies are robust with respect to uncertainty in the sense that their tracking errors satisfy a supermartingale property under all a-priori valuation measures,uniformly over all priors.展开更多
In this paper, we are concerned with the optimal hedge ratio under quantity risk as well as discrepancies between the futures market price and its theoretical valuation according to the cost- of-carry model. Assuming ...In this paper, we are concerned with the optimal hedge ratio under quantity risk as well as discrepancies between the futures market price and its theoretical valuation according to the cost- of-carry model. Assuming a geometric Brownian motion for forecasting process, we model mispricing as a specific noise corn poncnt in the dynamics of filturcs market prices, based on which the optimal hedging strategy is calculated. Finally, we illustrate optimal strategy and its properties by numerical examples.展开更多
In the present paper,we focus on the diverging behavior of discrecte hedging error with transaction costs.We added the hedging cost to the error directly.The main idea is to divide the hedging error into two parts:the...In the present paper,we focus on the diverging behavior of discrecte hedging error with transaction costs.We added the hedging cost to the error directly.The main idea is to divide the hedging error into two parts:the pure hedging error and transaction cost of rebalance.The later part will be diverged when hedging number n goes to infinity.Firstly we show an upper bound of diverging part,which is O(√n)of rebalancing number n,then we prove both the upper bound and the lower bound of discrete hedging error with transaction costs are of√n order,finally we give an approximation of hedging error to determine the coefficient in front of√n.The main technique in the proof is Itô’s formula,L’Hopital’s rule and three important lemmas in[Yuri,Kabanov,Mher,Safarian.Markets with Transaction Costs.Springer-Verlag,Berlin,Heidelberg,2009].The numerical result support our theoretical conclusion.展开更多
The increasing number of gas-fired units has significantly intensified the coupling between electric and gas power networks.Traditionally,nonlinearity and nonconvexity in gas flow equations,together with renewable-ind...The increasing number of gas-fired units has significantly intensified the coupling between electric and gas power networks.Traditionally,nonlinearity and nonconvexity in gas flow equations,together with renewable-induced stochasticity,resulted in a computationally expensive model for unit commitment in electricity-gas coupled integrated energy systems(IES).To accelerate stochastic day-ahead scheduling,we applied and modified Progressive Hedging(PH),a heuristic approach that can be computed in parallel to yield scenario-independent unit commitment.Through early termination and enumeration techniques,the modified PH algorithm saves considerable com,putational time for certain generation cost settings or when the scale of the IES is large.Moreover,an adapted second-order cone relaxation(SOCR)is utilized to tackle the nonconvex gas flow equation.Case studies were performed on the IEEE 24.bus system/Belgium 20-node gas system and the IEEE 118-bus system/Belgium 20-node gas system.The computational efficiency when employing PH is 188 times that of commercial software,and the algorithm even outperforms Benders Decomposition.At the same time,the gap between the PH algorithm and the benchmark is less than 0.01% in both IES systems,which proves that the solutions produced by PH reach acceptable optimality in this stochastic UC problem.展开更多
In this paper, a European-type contingent claim pricing problem withtransaction costs is considered by a mean-variance hedging argument. The investor has to paytransaction costs which are proportional to the amount of...In this paper, a European-type contingent claim pricing problem withtransaction costs is considered by a mean-variance hedging argument. The investor has to paytransaction costs which are proportional to the amount of stock transacted. The writer's hedgingobject is to minimize the hedging risk, defined as the variance of hedging error at expiration, witha proper expected excess return level. At first, we consider the mean-variance hedging problem: forinitial hedging wealth f, maximizing the excess expected return under the minimum hedging risklevel V_0. On the other hand, we consider a mean-variance portfolio problem, which is to maximizethe expected return with initial wealth 0 under the same risk level V_0. The minimum initial hedgingwealth f, which can offset the difference of the maximum expected return of these two problems, isthe writer's price.展开更多
Based on daily data about Bitcoin and six other major financial assets(stocks,commodity futures(commodities),gold,foreign exchange(FX),monetary assets,and bonds)in China from 2013 to 2017,we use a VAR-GARCH-BEKK model...Based on daily data about Bitcoin and six other major financial assets(stocks,commodity futures(commodities),gold,foreign exchange(FX),monetary assets,and bonds)in China from 2013 to 2017,we use a VAR-GARCH-BEKK model to investigate mean and volatility spillover effects between Bitcoin and other major assets and explore whether Bitcoin can be used either as a hedging asset or a safe haven.Our empirical results show that(i)only the monetary market,i.e.,the Shanghai Interbank Offered Rate(SHIIBOR)has a mean spillover effect on Bitcoin and(ii)gold,monetary,and bond markets have volatility spillover effects on Bitcoin,while Bitcoin has a volatility spillover effect only on the gold market.We further find that Bitcoin can be hedged against stocks,bonds and SHIBOR and is a safe haven when extreme price changes occur in the monetary market.Our findings provide useful information for investors and portfolio risk managers who have invested or hedged with Bitcoin.展开更多
In this paper we investigate how to employ stochastic regression to hedge risks in finance,where the risk of a security is measured by its quadratic variation process.Mykland and Zhang used this technique to demonstra...In this paper we investigate how to employ stochastic regression to hedge risks in finance,where the risk of a security is measured by its quadratic variation process.Mykland and Zhang used this technique to demonstrate how to reduce the risk of a given security by introducing another security.In this paper,we investigate how to further reduce the remaining unhedgable risk by adding more hedging securities.Some practical guidelines on how to choose those hedging securities in practice is also given.展开更多
文摘Hedging, referring to the use of various lexical and syntactic features modifying and mitigating propositions and claims, is extensively employed in effective academic writing. However, the use of hedges seems to be quite problematic for lots of Chinese ESL learners. In view of the situation, this study explores the use of hedges in academic abstracts by a group of undergraduate English majors in a university in Hainan Province. After analyzing data from a corpus and interviews, several problems have been found in the use of hedging devices of these students, and relevant implications have been drawn to the teaching of hedging in the context, which can help the students produce more effective academic writing and to achieve greater university success.
文摘This study examines the hedging effectiveness of financial innovations against crude oil investment risks,both before and during the COVID-19 pandemic.We focus on the non-energy exchange traded funds(ETFs)as proxies for financial innovations given the potential positive correlation between energy variants and crude oil proxies.We employ a multivariate volatility modeling framework that accounts for important statistical features of the non-energy ETFs and oil price series in the computation of optimal weights and optimal hedging ratios.Results show evidence of hedging effectiveness for the financial innovations against oil market risks,with higher hedging performance observed during the pandemic.Overall,we show that sectoral financial innovations provide resilient investment options.Therefore,we propose that including the ETFs in an investment portfolio containing oil could improve risk-adjusted returns,especially in similar financial crisis as witnessed during the pandemic.In essence,our results are useful for investors in the global oil market seeking to maximize risk-adjusted returns when making investment decisions.Moreover,by exploring the role of structural breaks in the multivariate volatility framework,our attempts at establishing robustness for the results reveal that ignoring the same may lead to wrong conclusions about the hedging effectiveness.
文摘In this article an attempt to enhance the awareness of hedging use in discourse analysis and academic writing is madeby analyzing hedges employed in two comparable texts.The discourse analysis is conducted from"content-oriented"hedges and"reader-oriented"hedges.The article suggests that hedging can dampen utterances and statements,weaken the force of what onesays and show politeness to the listeners or readers,which varies from different discourse styles of various genres.discourse marker;hedging;research article;news
基金Supported by the National Natural Science Foundation of China(11671115)the Natural Science Foundation of Zhejiang Province(LY14A010025)
文摘In this paper we investigate asymptotic behavior of error of a discrete time hedging strategy in a fractional Black-Scholes model in the sense of Wick-ItS-Skorohod integration. The rate of convergence of the hedging error due to discrete-time trading when the true strategy is known for the trader, is investigated. The result provides new statistical tools to study and detect the effect of the long-memory and the Hurst parameter for the error of discrete time hedging.
基金National Natural Science Foundations of China (No. 11071076,No. 11126124)
文摘The hedging problem for insiders is very important in the financial market.The locally risk minimizing hedging was adopted to solve this problem.Since the market was incomplete,the minimal martingale measure was chosen as the equivalent martingale measure.By the F-S decomposition,the expression of the locally risk minimizing strategy was presented.Finally,the local risk minimization was applied to index tracking and its relationship with tracking error variance (TEV)-minimizing strategy was obtained.
文摘Under the background of energy conservation, the grid companies should give priority to consumptive hydropower, wind power and other clean electricity to fulfill their social responsibility and promote the carbon emission reduction in power industry. But under the current power purchase mode, grid companies must first perform the contract. This is extremely uneconomical and not environmentally friendly. Based on hedging theory, this paper proposes a power purchase optimization model using the strategy of “compression and compensation”. If outer price is lower than the contract price, the grid can compress contract power appropriately, leaving more space for purchasing electricity;if outer price is not attractive enough, the grid should timely improve contract proportion, compensating the deviations of contract caused by "compression". Based on the strategy of "compression and compensation", it can effectively reduce the abandoned wind and water, enhance the economic and social benefits of provincial power grid.
文摘Based on two different risk measurement criteria, this article studied the optimal hedging strategies of stock index futures in the case of asymmetric information, and discussed the influence of insider information on the hedging effect. Through simulation analysis, it can be shown that hedging people with insider information can save hedging costs to a certain extent, which also explains the reason why investors try to obtain corporate information in actual investment activities.
文摘The editorials of the opinion column in a newspaper express the view of its editors. The application of hedging devices isemployed, in order to support the writers' writing. In this study, the data were gathered from 15 editorials in the opinion column ofChina Daily: 5 editorials are about world issues, the other 5 editorials about Chinese social life, and the last 5 editorials are the edu-cational issues popularly discussed in China. The categorization of hedging devices draws from salvager-Meyer's paper Hedges and Textual Communicative Function in Medical English Written Discourse(1994, p. 154) and Mojica(2005, p. 3). Results revealed thatmost writers of the editorials opted to use approximators and modals. Furthermore, the hedging devices used in the selected editori-als on China Daily mainly had three functions: Show respects of the people or organization or in order for protection; in order to pub-lish timely; and make the prediction more reliable. In general, the Chinese writers seem to be conscious to use hedges appropriatelyin order to make their writing more reliable and avoid some arguments or disparagement.
文摘Hedges in academic writing are drawn attention by scholars. Hedging devices enable writers to express their uncertainty con-cerning the factuality of their statements or to indicate deference to their readers. In this paper,ten English linguistic academic articles written by Chinese scholars were chosen for the study. Hedges were categorized to four types. The analysis showed the total number of hedges per category in all articles. The results indicated that modals/probabilities and semi-auxiliaries or epistemic verbs were preferred by Chinese linguists. It is suggested that for non-native English speakers mastery of hedging devices is requisite in their graduate programs.
文摘This is a corpus-based contrastive study projected to find out the differences in using hedges in English business corre spondences between Chinese English learners and native speakers.
基金National Natural Science Foundation of China(No.71401144)
文摘It is important to consider the changing states in hedging.The Markov regime-switching dynamic correlation multivariate stochastic volatility( MRS-DC-MSV) model was proposed to solve this issue. DC-MSV model and MRS-DC-MSV model were used to calculate the time-varying hedging ratios and compare the hedging performance. The Markov chain Monte Carlo( MCMC) method was used to estimate the parameters. The results showed that,there were obviously two economic states in Chinese financial market. Two models all did well in hedging,but the performance of MRS-DCMSV model was better. It could reduce risk by nearly 90%. Thus,in the hedging period,changing states is a factor that cannot be neglected.
基金the German Science Foundation,Berlin Mathematical School and RTG 1845 for support,and Xiaolu Tan for helpful discussions.
文摘We study robust notions of good-deal hedging and valuation under combined uncertainty about the drifts and volatilities of asset prices.Good-deal bounds are determined by a subset of risk-neutral pricing measures such that not only opportunities for arbitrage are excluded but also deals that are too good,by restricting instantaneous Sharpe ratios.A non-dominated multiple priors approach to model uncertainty(ambiguity)leads to worst-case good-deal bounds.Corresponding hedging strategies arise as minimizers of a suitable coherent risk measure.Good-deal bounds and hedges for measurable claims are characterized by solutions to secondorder backward stochastic differential equations whose generators are non-convex in the volatility.These hedging strategies are robust with respect to uncertainty in the sense that their tracking errors satisfy a supermartingale property under all a-priori valuation measures,uniformly over all priors.
基金Supported by the National Natural Science Foundation of China(No.70221001)
文摘In this paper, we are concerned with the optimal hedge ratio under quantity risk as well as discrepancies between the futures market price and its theoretical valuation according to the cost- of-carry model. Assuming a geometric Brownian motion for forecasting process, we model mispricing as a specific noise corn poncnt in the dynamics of filturcs market prices, based on which the optimal hedging strategy is calculated. Finally, we illustrate optimal strategy and its properties by numerical examples.
文摘In the present paper,we focus on the diverging behavior of discrecte hedging error with transaction costs.We added the hedging cost to the error directly.The main idea is to divide the hedging error into two parts:the pure hedging error and transaction cost of rebalance.The later part will be diverged when hedging number n goes to infinity.Firstly we show an upper bound of diverging part,which is O(√n)of rebalancing number n,then we prove both the upper bound and the lower bound of discrete hedging error with transaction costs are of√n order,finally we give an approximation of hedging error to determine the coefficient in front of√n.The main technique in the proof is Itô’s formula,L’Hopital’s rule and three important lemmas in[Yuri,Kabanov,Mher,Safarian.Markets with Transaction Costs.Springer-Verlag,Berlin,Heidelberg,2009].The numerical result support our theoretical conclusion.
基金supported by the National Key Research and Development Program(SQ 2020YFE0200400)the National Natural Science Foundation of China(No.52007123)the Science,Technology and Innovation Commission of Shenzhen Municipality(No.JCYJ 20170411152331932).
文摘The increasing number of gas-fired units has significantly intensified the coupling between electric and gas power networks.Traditionally,nonlinearity and nonconvexity in gas flow equations,together with renewable-induced stochasticity,resulted in a computationally expensive model for unit commitment in electricity-gas coupled integrated energy systems(IES).To accelerate stochastic day-ahead scheduling,we applied and modified Progressive Hedging(PH),a heuristic approach that can be computed in parallel to yield scenario-independent unit commitment.Through early termination and enumeration techniques,the modified PH algorithm saves considerable com,putational time for certain generation cost settings or when the scale of the IES is large.Moreover,an adapted second-order cone relaxation(SOCR)is utilized to tackle the nonconvex gas flow equation.Case studies were performed on the IEEE 24.bus system/Belgium 20-node gas system and the IEEE 118-bus system/Belgium 20-node gas system.The computational efficiency when employing PH is 188 times that of commercial software,and the algorithm even outperforms Benders Decomposition.At the same time,the gap between the PH algorithm and the benchmark is less than 0.01% in both IES systems,which proves that the solutions produced by PH reach acceptable optimality in this stochastic UC problem.
文摘In this paper, a European-type contingent claim pricing problem withtransaction costs is considered by a mean-variance hedging argument. The investor has to paytransaction costs which are proportional to the amount of stock transacted. The writer's hedgingobject is to minimize the hedging risk, defined as the variance of hedging error at expiration, witha proper expected excess return level. At first, we consider the mean-variance hedging problem: forinitial hedging wealth f, maximizing the excess expected return under the minimum hedging risklevel V_0. On the other hand, we consider a mean-variance portfolio problem, which is to maximizethe expected return with initial wealth 0 under the same risk level V_0. The minimum initial hedgingwealth f, which can offset the difference of the maximum expected return of these two problems, isthe writer's price.
基金supported by the National Natural Science Foundation of China under Grants (No. 11001029, 10971220)the Fundamental Research Funds for the Central Universities (BUPT2009RC0705)
基金This work was supported by the National Natural Science Foundation of China(Grant Nos.71871088,71501066,71971079,and 71521061)the Huxiang Youth Talent Support Program,and the Hunan Provincial Natural Science Foundation of China(Grant No.2017JJ3024).
文摘Based on daily data about Bitcoin and six other major financial assets(stocks,commodity futures(commodities),gold,foreign exchange(FX),monetary assets,and bonds)in China from 2013 to 2017,we use a VAR-GARCH-BEKK model to investigate mean and volatility spillover effects between Bitcoin and other major assets and explore whether Bitcoin can be used either as a hedging asset or a safe haven.Our empirical results show that(i)only the monetary market,i.e.,the Shanghai Interbank Offered Rate(SHIIBOR)has a mean spillover effect on Bitcoin and(ii)gold,monetary,and bond markets have volatility spillover effects on Bitcoin,while Bitcoin has a volatility spillover effect only on the gold market.We further find that Bitcoin can be hedged against stocks,bonds and SHIBOR and is a safe haven when extreme price changes occur in the monetary market.Our findings provide useful information for investors and portfolio risk managers who have invested or hedged with Bitcoin.
基金supported by Hong Kong RGC(Grant Nos.HKUST6011/07P,HKUST6015/08P)supported in part by National Natural Science Foundation of China(Grant No.10771214)
文摘In this paper we investigate how to employ stochastic regression to hedge risks in finance,where the risk of a security is measured by its quadratic variation process.Mykland and Zhang used this technique to demonstrate how to reduce the risk of a given security by introducing another security.In this paper,we investigate how to further reduce the remaining unhedgable risk by adding more hedging securities.Some practical guidelines on how to choose those hedging securities in practice is also given.