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Efficient Asian option pricing under regime switching jump diffusions and stochastic volatility models 制度转换跳跃扩散和随机波动模型下的有效亚洲期权定价
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2020-06-04 DOI: 10.1007/s10436-020-00366-0
J. Lars Kirkby, Duy Nguyen

Utilizing frame duality and a FFT-based implementation of density projection we develop a novel and efficient transform method to price Asian options for very general asset dynamics, including regime switching Lévy processes and other jump diffusions as well as stochastic volatility models with jumps. The method combines continuous-time Markov chain approximation, with Fourier pricing techniques. In particular, our method encompasses Heston, Hull-White, Stein-Stein, 3/2 model as well as recently proposed Jacobi, (alpha )-Hypergeometric, and 4/2 models, for virtually any type of jump amplitude distribution in the return process. This framework thus provides a ‘unified’ approach to pricing Asian options in stochastic jump diffusion models and is readily extended to alternative exotic contracts. We also derive a characteristic function recursion by generalizing the Carverhill-Clewlow factorization which enables the application of transform methods in general. Numerical results are provided to illustrate the effectiveness of the method. Various extensions of this method have since been developed, including the pricing of barrier, American, and realized variance derivatives.

利用帧对偶和基于FFT的密度投影实现,我们开发了一种新的高效转换方法来为非常一般的资产动态的亚洲期权定价,包括状态切换Lévy过程和其他跳跃扩散,以及具有跳跃的随机波动率模型。该方法结合了连续时间马尔可夫链近似和傅立叶定价技术。特别是,我们的方法包括Heston、Hull-White、Stein-Stein、3/2模型以及最近提出的Jacobi、(alpha)-超几何和4/2模型,用于返回过程中几乎任何类型的跳跃幅度分布。因此,该框架为随机跳跃-扩散模型中的亚洲期权定价提供了一种“统一”的方法,并很容易扩展到另类奇异合约。我们还通过推广Carverhill-Clewlow因子分解导出了一个特征函数递归,它使变换方法能够普遍应用。数值结果表明了该方法的有效性。此后,该方法的各种扩展已经被开发出来,包括屏障、美国和已实现方差导数的定价。
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引用次数: 15
Forecasting volatility in bitcoin market 预测比特币市场的波动
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2020-06-03 DOI: 10.1007/s10436-020-00368-y
Mawuli Segnon, Stelios Bekiros

In this paper, we revisit the stylized facts of bitcoin markets and propose various approaches for modeling the dynamics governing the mean and variance processes. We first provide the statistical properties of our proposed models and study in detail their forecasting performance and adequacy by means of point and density forecasts. We adopt two loss functions and the model confidence set test to evaluate the predictive ability of the models and the likelihood ratio test to assess their adequacy. Our results confirm that bitcoin markets are characterized by regime shifting, long memory and multifractality. We find that the Markov switching multifractal and FIGARCH models outperform other GARCH-type models in forecasting bitcoin returns volatility. Furthermore, combined forecasts improve upon forecasts from individual models.

在本文中,我们重新审视了比特币市场的程式化事实,并提出了各种方法来建模控制均值和方差过程的动力学。我们首先提供了我们提出的模型的统计特性,并通过点和密度预测详细研究了它们的预测性能和充分性。我们采用两个损失函数和模型置信集检验来评估模型的预测能力,并采用似然比检验来评估其充分性。我们的研究结果证实,比特币市场具有政权转移、长记忆和多重分形的特点。我们发现,马尔可夫切换多重分形和FIGARCH模型在预测比特币收益波动性方面优于其他GARCH类型的模型。此外,组合预测改进了单个模型的预测。
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引用次数: 8
Optimal group size in microlending 微透镜中的最佳组大小
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2020-06-02 DOI: 10.2139/ssrn.3622257
P. Protter, Alejandra Quintos
Microlending, where a bank lends to a small group of people without credit histories, began with the Grameen Bank in Bangladesh, and is widely seen as the creation of Muhammad Yunus, who received the Nobel Peace Prize in recognition of his largely successful efforts. Since that time the modeling of microlending has received a fair amount of academic attention. One of the issues not yet addressed in full detail, however, is the issue of the size of the group. Some attention has nevertheless been paid using an experimental and game theory approach. We, instead, take a mathematical approach to the issue of an optimal group size, where the goal is to minimize the probability of default of the group. To do this, one has to create a model with interacting forces, and to make precise the hypotheses of the model. We show that the original choice of Muhammad Yunus, of a group size of five people, is, under the right, and, we believe, reasonable hypotheses, either close to optimal, or even at times exactly optimal, i.e., the optimal group size is indeed five people.
小额贷款是指银行向没有信用记录的一小群人提供贷款。小额贷款始于孟加拉国的格莱珉银行(Grameen bank)。人们普遍认为,小额贷款是穆罕默德•尤努斯(Muhammad Yunus)的发明,尤努斯因在这方面的巨大成功而获得了诺贝尔和平奖。从那时起,小额贷款的建模得到了相当多的学术关注。然而,尚未完全详细解决的一个问题是该集团的规模问题。然而,使用实验和博弈论方法已经给予了一些关注。相反,我们采用数学方法来解决最优群体规模的问题,其目标是最小化群体违约的概率。要做到这一点,我们必须创建一个相互作用的模型,并对模型做出精确的假设。我们证明了穆罕默德·尤努斯最初的选择,五个人的群体规模,是,在正确的,我们相信,合理的假设下,要么接近最优,要么有时完全最优,也就是说,最优的群体规模确实是五个人。
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引用次数: 0
Fundamental Theorem of Asset Pricing under fixed and proportional transaction costs 固定比例交易成本下资产定价的基本定理
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2020-05-26 DOI: 10.1007/s10436-020-00367-z
Martin Brown, Tomasz Zastawniak

We show that the absence of arbitrage in a model with both fixed and proportional transaction costs is equivalent to the existence of a family of absolutely continuous single-step probability measures, together with an adapted process with values within the bid-ask intervals that satisfies the martingale property with respect to each of the measures. This extends Harrison and Pliska’s classical Fundamental Theorem of Asset Pricing to the case of combined fixed and proportional transaction costs.

我们证明了在具有固定和比例交易成本的模型中不存在套利等价于存在一组绝对连续的单步概率测度,以及一个在买卖区间内满足每个测度的鞅性质的自适应过程。这将Harrison和Pliska的经典资产定价基本定理推广到固定和比例交易成本相结合的情况。
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引用次数: 0
Optimal compensation and investment affected by firm size and time-varying external factors 受企业规模和时变外部因素影响的最优薪酬和投资
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2020-05-20 DOI: 10.1007/s10436-020-00365-1
Chong Lai, Rui Li, Yonghong Wu

We investigate a continuous dynamic model associated with a firm size term and with an external factor term, which possesses the following peculiarities: the drift term is dominated by the principal’s investment strategy and the agent’s effort; the volatility term relies on the function (sqrt{G^2(t)+z_t}) in which (G(t)ge 0) is a continuously bounded function and is interpreted as external factors such as external variant risks, and (z_t) represents the firm size. The exact optimal contracts are obtained under full information. We find that the principal’s dividends in large firms are at lower risk since the flow of dividends increases with firm size. The optimal compensation scheme for the agent and investment plan for the principal are analyzed under specific assumptions. In extremely volatile environment with large G(t), the compensation for the agent would become overly large and the optimal investment is not achievable.

我们研究了一个与企业规模项和外部因素项相关的连续动态模型,该模型具有以下特点:漂移项由委托人的投资策略和代理人的努力主导;波动性项依赖于函数(sqrt{G^2(t)+z_t}),其中(G(t)ge 0)是一个连续有界函数,被解释为外部因素,如外部变量风险,(z_t)表示企业规模。在充分信息条件下得到了精确的最优契约。我们发现,大公司的本金股息风险较低,因为股息流量随着公司规模的增加而增加。在特定假设下,分析了代理人的最优薪酬方案和委托人的投资计划。在具有大G(t)的极不稳定环境中,对代理的补偿将变得过大,并且无法实现最优投资。
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引用次数: 0
Efficient Asian option pricing under regime switching jump diffusions and stochastic volatility models 制度转换跳跃扩散和随机波动模型下的有效亚洲期权定价
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2020-04-14 DOI: 10.2139/ssrn.3575594
J. Kirkby, D. Nguyen
Utilizing frame duality and a FFT-based implementation of density projection we develop a novel and efficient transform method to price Asian options for very general asset dynamics, including regime switching Lévy processes and other jump diffusions as well as stochastic volatility models with jumps. The method combines continuous-time Markov chain approximation, with Fourier pricing techniques. In particular, our method encompasses Heston, Hull-White, Stein-Stein, 3/2 model as well as recently proposed Jacobi, $$alpha $$ α -Hypergeometric, and 4/2 models, for virtually any type of jump amplitude distribution in the return process. This framework thus provides a ‘ unified ’ approach to pricing Asian options in stochastic jump diffusion models and is readily extended to alternative exotic contracts. We also derive a characteristic function recursion by generalizing the Carverhill-Clewlow factorization which enables the application of transform methods in general. Numerical results are provided to illustrate the effectiveness of the method. Various extensions of this method have since been developed, including the pricing of barrier, American, and realized variance derivatives.
利用帧对偶性和基于fft的密度投影实现,我们开发了一种新颖有效的转换方法来为非常一般的资产动态定价亚洲期权,包括状态切换lsamvy过程和其他跳跃扩散以及具有跳跃的随机波动模型。该方法结合了连续时间马尔可夫链近似和傅里叶定价技术。特别是,我们的方法涵盖了Heston, Hull-White, Stein-Stein, 3/2模型以及最近提出的Jacobi, $$alpha $$ α -Hypergeometric和4/2模型,适用于返回过程中几乎任何类型的跳跃振幅分布。因此,该框架为随机跳跃扩散模型中的亚洲期权定价提供了一种“统一”的方法,并且很容易扩展到替代的奇异合约。通过对Carverhill-Clewlow分解的推广,导出了特征函数递归,使变换方法的应用成为可能。数值结果表明了该方法的有效性。这种方法的各种扩展已经发展起来,包括障碍定价、美国定价和变现方差衍生品定价。
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引用次数: 32
Leakage of rank-dependent functionally generated trading strategies 等级依赖函数生成交易策略的泄漏
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2020-04-08 DOI: 10.1007/s10436-020-00364-2
Kangjianan Xie
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引用次数: 1
Proper measures of connectedness 连通性的适当衡量标准
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2020-04-08 DOI: 10.1007/s10436-020-00363-3
Mario Maggi, Maria-Laura Torrente, Pierpaolo Uberti

The concept of connectedness has been widely used in financial applications, in particular for systemic risk detection. Despite its popularity, at the state of the art, a rigorous definition of connectedness is still missing. In this paper we propose a general definition of connectedness introducing the notion of proper measures of connectedness (PMCs). Based on the classical concept of mean introduced by Chisini, we define a family of PMCs and prove some useful properties. Further, we investigate whether the most popular measures of connectedness available in the literature are consistent with the proposed theoretical framework. We also compare different measures in terms of forecasting performances on real financial data. The empirical evidence shows the forecasting superiority of the PMCs compared to the measures that do not satisfy the theoretical properties. Moreover, the empirical results support the evidence that the PMCs can be useful to detect in advance financial bubbles, crises, and, in general, for systemic risk detection.

连通性的概念已被广泛应用于金融应用,特别是系统性风险检测。尽管它很受欢迎,但在目前的技术水平上,仍然缺少对连通性的严格定义。在本文中,我们引入了连通性度量的概念,提出了连通性的一般定义。基于Chisini引入的均值的经典概念,我们定义了一个PMCs族,并证明了一些有用的性质。此外,我们还研究了文献中最流行的连通性度量是否与所提出的理论框架一致。我们还比较了根据真实财务数据预测业绩的不同衡量标准。经验证据表明,与不满足理论性质的措施相比,PMCs的预测优势。此外,实证结果支持了以下证据,即PMCs可以用于提前检测金融泡沫、危机,并且通常用于系统性风险检测。
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引用次数: 10
Leakage of rank-dependent functionally generated trading strategies 等级相关功能生成交易策略的泄漏
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2020-04-08 DOI: 10.1007/s10436-020-00364-2
Kangjianan Xie

This paper investigates the so-called leakage effect of trading strategies generated functionally from rank-dependent portfolio generating functions. This effect measures the loss in wealth of trading strategies due to renewing the portfolio constituent stocks. Theoretically, the leakage effect of a trading strategy is expressed explicitly by a finite-variation term. The computation of the leakage is different from what previous research has suggested. The method to estimate leakage in discrete time is then introduced with some practical considerations. An empirical example illustrates the leakage of the corresponding trading strategies under different constituent list sizes.

本文研究了由秩相关投资组合生成函数生成的交易策略的所谓泄漏效应。这种效应衡量了由于更新投资组合成分股而导致的交易策略的财富损失。从理论上讲,交易策略的泄漏效应可以用有限变化项来明确表示。泄漏的计算与之前的研究结果不同。然后介绍了在离散时间内估计泄漏的方法,并结合一些实际考虑。一个实证例子说明了不同成分表规模下相应交易策略的泄漏。
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引用次数: 2
Transparency and market discipline: evidence from the Russian interbank market 透明度和市场纪律:来自俄罗斯银行间市场的证据
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2020-03-20 DOI: 10.1007/s10436-020-00361-5
François Guillemin, Maria Semenova

This article investigates the role of bank voluntary disclosure, as a source of information about risk, in the interbank market. Using data on the 179 largest Russian banks over the period of 2004–2013 we test whether the ability to attract interbank loans is sensitive to various transparency indices such as those disclosing bank risks, board composition, or even corporate event details. We show that larger but riskier banks—at least in terms of credit risk—behave more transparently and disclose more. The article is the first to provide evidence that the ability to attract funds in the interbank market is positively correlated with the degree of transparency. This result is stable for various aspects of disclosure.

本文研究了银行自愿披露作为银行间市场风险信息来源的作用。利用2004-2003年期间俄罗斯179家最大银行的数据,我们测试了吸引银行间贷款的能力是否对各种透明度指数敏感,例如披露银行风险、董事会组成,甚至公司活动细节的指数。我们发现,规模较大但风险较高的银行——至少在信贷风险方面——表现得更透明,披露的信息也更多。这篇文章首次提供证据表明,银行间市场吸引资金的能力与透明度呈正相关。该结果对于公开的各个方面是稳定的。
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引用次数: 1
期刊
Annals of Finance
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