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Co-jumps and recursive preferences in portfolio choices 投资组合选择中的共同跳跃和递归偏好
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2023-02-16 DOI: 10.1007/s10436-023-00425-2
Immacolata Oliva, Ilaria Stefani

This paper investigates a multivariate, dynamic, continuous-time optimal consumption and portfolio allocation problem when the investor faces recursive utilities. The economy we are considering is described through both diffusion and discontinuities in the dynamics. We derive an approximated closed-form solution to optimal rules by exploiting standard dynamic programming techniques. Our findings are manifold. First, we obtain dynamic optimal weights, inversely proportional to volatility. Second, we show that both co-jumps frequency and intensity play a crucial role, as they considerably limit potential losses in the investors’ wealth. Third, we prove that jumps in precision reinforce the effect of jumps in price, further reducing optimal allocation. Finally, we highlight how co-jumps may influence investors’ choices regarding intertemporal consumption.

本文研究了投资者面对递归效用时的一个多变量、动态、连续时间最优消费和投资组合分配问题。我们正在考虑的经济是通过动力学中的扩散和不连续来描述的。我们利用标准的动态规划技术,导出了最优规则的近似闭式解。我们的发现是多方面的。首先,我们获得与波动率成反比的动态最优权重。其次,我们表明,共跳频率和强度都起着至关重要的作用,因为它们在很大程度上限制了投资者财富的潜在损失。第三,我们证明了精度的跳跃强化了价格跳跃的影响,进一步减少了最优配置。最后,我们强调了共同跳跃如何影响投资者对跨期消费的选择。
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引用次数: 0
The valuation of corporations: a derivative pricing perspective 公司估值:衍生品定价视角
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2023-02-05 DOI: 10.1007/s10436-023-00424-3
Dilip B. Madan, King Wang

Corporations are modeled as owning a perpetual derivative security that has a claim on future cash flows. The cash flows are defined by deterministic functions of state variables. In a time homogeneous and Markovian context the value of a corporation is then given by a deterministic function of the state variables termed the corporate valuation function. This valuation function solves an integro differential equation with a boundary condition of zero at infinity. Solutions are illustrated in dimensions one, two and ten. It is observed that for positive and bounded cash flow functions the valuation functions cannot be linear. The attitude of a corporation to risk then depends on the nonlinearity. In higher dimensions the corporation will be a risk taker in some directions and simultaneously a risk avoider in others. The valuation theory also leads to new asset pricing equations inferring asset variations from risk neutral covariations. The shift from mean returns and covariances is necessitated by the focus on instantaneous risk exposures represented by measures replacing probabilities.

公司被建模为拥有对未来现金流有索赔权的永久衍生证券。现金流是由状态变量的确定函数定义的。在时间同构和马尔可夫环境中,公司的价值由状态变量的确定函数给出,称为公司估值函数。这个估值函数求解一个边界条件为零的积分微分方程。解决方案在维度一、维度二和维度十中进行了说明。可以观察到,对于正的和有界的现金流函数,估值函数不可能是线性的。企业对风险的态度取决于非线性。在更高的维度上,公司将在某些方向上承担风险,同时在其他方向上规避风险。估值理论还导致了新的资产定价方程,从风险中性协变量推断资产变化。从平均收益和协变量的转变是必要的,因为关注由替代概率的度量表示的瞬时风险敞口。
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引用次数: 0
The optimal financing of a conglomerate firm with hidden information and costly state verification 具有隐藏信息和昂贵的国家验证的企业集团的最优融资
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2023-02-05 DOI: 10.1007/s10436-022-00418-7
Rosa Ferrentino, Luca Vota

This manuscript addresses the issue, particularly interesting for a conglomerate firm, of the choice of the optimal financing method (namely, the most efficient one) between the joint one and the separate one. In particular, the authors identify the properties of the optimal financing contract for three investment projects under the assumptions of the literature on Costly State Verification (CSV), namely, uncorrelated returns, hidden information (the return of a single project is a borrower’s private information), lender performing sequential audit and residual claimant borrower. The authors’ research method consists of solving the optimization problem of the borrower’s expected utility subject to appropriate incentive constraints and the lender’s participation constraint. The novelty of this contribution is the demonstration that joint financing with return pooling between the high and low states is more efficient than separate financing, as it implies a lower expected audit cost for the lender and, if the investment cost is not too high, also less credit rationing for the borrower. Joint financing with return pooling between the intermediate and low states, instead, is found to be less efficient than separate financing in terms of expected audit cost and, in the presence of sufficiently high investment cost, also credit rationing.

这份手稿解决了一个问题,对于企业集团来说尤其有趣,即在联合融资和单独融资之间选择最佳融资方式(即最有效的融资方式)。特别是,作者在成本状态验证(CSV)文献的假设下,确定了三个投资项目的最佳融资合同的性质,即不相关的回报、隐藏信息(单个项目的回报是借款人的私人信息)、进行顺序审计的贷款人和剩余索赔借款人。作者的研究方法包括在适当的激励约束和贷款人的参与约束下解决借款人的预期效用优化问题。这一贡献的新颖之处在于,证明了在高州和低州之间进行回报池联合融资比单独融资更有效,因为这意味着贷款人的预期审计成本更低,如果投资成本不太高,借款人的信贷配给也更少。相反,在预期审计成本方面,以及在投资成本足够高的情况下,信贷配给方面,中等州和低州之间的回报池联合融资的效率低于单独融资。
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引用次数: 0
Analysis of fair fee in guaranteed lifelong withdrawal and Markovian health benefits 保证终身退出的公平费用与马尔可夫健康效益分析
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2023-01-17 DOI: 10.1007/s10436-022-00422-x
Guglielmo D’Amico, Shakti Singh, Dharmaraja Selvamuthu

This study proposed and evaluated a new insurance product, i.e., the variable annuity product, accompanied by the health status and the guaranteed lifelong withdrawal benefit (GLWB). Due to specific problems, the insurance sector is now one of the riskiest industries. The aging of the population and rising medical service costs as a result of technological advancements are to blame for this. Thus one of the most basic needs in the health insurance sector is to design an innovative product. In this article, a mixed discrete-continuous time model is proposed to calculate the fair fee of the product, calculated using equilibrium condition between premium and benefits. We considered constant volatility and rate of interest along with health status benefits and hospitalization coverage. For an illustration of the capability of this product and some possible improvements in the product, a numerical study, and sensitivity analysis have been conducted. The results showed that the withdrawal amount and age have a significant impact on the cost. A rise in the initial insured age and withdrawal amount increases the fair fee of the product. The GLWB rider’s guaranteed amount and medical expenses are included in the withdrawal amount.

本研究提出并评估了一种新的保险产品,即可变年金产品,伴随着健康状况和保证终身提款福利(GLWB)。由于具体的问题,保险业现在是风险最大的行业之一。人口老龄化和技术进步导致的医疗服务成本上升是造成这种情况的原因。因此,健康保险部门最基本的需求之一是设计创新产品。本文提出了一个混合离散连续时间模型来计算产品的公平费用,该模型使用保费和收益之间的平衡条件来计算。我们考虑了持续的波动性和利率,以及健康状况福利和住院保险。为了说明该产品的性能和产品的一些可能改进,进行了数值研究和灵敏度分析。结果表明,提取金额和年龄对成本有显著影响。初始投保年龄和提取金额的增加会增加产品的公平费用。GLWB骑手的担保金额和医疗费用包含在提款金额中。
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引用次数: 0
Uncertainty in firm valuation and a cross-sectional misvaluation measure 企业估值的不确定性与横截面错估度量
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2023-01-17 DOI: 10.1007/s10436-022-00423-w
Giulio Bottazzi, Francesco Cordoni, Giulia Livieri, Stefano Marmi

The degree of uncertainty associated with the value of a company plays a relevant role in valuation analysis. We propose an original and robust methodology for company market valuation, which replaces the traditional point estimate of the conventional Discounted Cash Flow model with a probability distribution of fair values that convey information about both the expected value of the company and its intrinsic uncertainty. Our methodology depends on two main ingredients: an econometric model for company revenues and a set of firm-specific balance sheet relations that are estimated using historical data. We explore the effectiveness and scope of our methodology through a series of statistical exercises on publicly traded U.S. companies. At the firm level, we show that the fair value distribution derived with our methodology constitutes a reliable predictor of the company’s future abnormal returns. At the market level, we show that a long-short valuation (LSV) factor, built using buy-sell recommendations based on the fair value distribution, contains information not accessible through the traditional market factors. The LSV factor significantly increases the explanatory and the predictive power of factor models estimated on portfolios and individual stock returns.

与公司价值相关的不确定性程度在估值分析中起着相关作用。我们提出了一种新颖而稳健的公司市场估值方法,该方法用公允价值的概率分布取代了传统贴现现金流模型的传统点估计,该分布传达了有关公司预期价值及其内在不确定性的信息。我们的方法取决于两个主要因素:一个是公司收入的计量经济模型,另一个是使用历史数据估计的一组特定于公司的资产负债表关系。我们通过对美国上市公司的一系列统计练习来探索我们方法的有效性和范围。在公司层面,我们表明,用我们的方法得出的公允价值分布构成了公司未来异常回报的可靠预测指标。在市场层面,我们发现,使用基于公允价值分布的买卖建议构建的长短期估值(LSV)因子包含传统市场因子无法获取的信息。LSV因子显著提高了因子模型对投资组合和个股回报的解释力和预测力。
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引用次数: 1
The market value of SMEs: a comparative study between private and listed firms in alternative stock markets 中小企业的市场价值:另类股票市场中民营与上市公司的比较研究
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2023-01-05 DOI: 10.1007/s10436-022-00420-z
Leslie Rodríguez-Valencia, Prosper Lamothe-Fernández, David Alaminos

This study aims to compare the market value of private firms and publicly listed small and medium-sized firms (SMEs) in alternative stock markets through a private discount approach with estimates of value based on discounted cash flow projections and along with a comparable multiples approach. The valuation methodology applied in this study yielded a final sample that included 232 observations between public and private companies in the Spanish market. To calculate the discount, we apply the different approaches of discounted cash flow and multiples, such as valuation, earnings, book value, and revenue. Our results conclude there is no private discount, instead, the outcomes of this article suggest a premium over public firms for some ratios. The negative private company discounts mean a premium and, on the other hand, some multiples suggest a discount according to the method of valuation. This paper proves private discounts resulted does not have any comparable value within the same country although all firms in Spain use the same currency. We value the discounted cash flows of our forecasts using a discount rate based on the Capital Asset Pricing Model (CAPM), so our study can also be viewed as a test sensitivity of CAPM-based approaches to equity risk premium, terminal value, and growth rate. Furthermore, we compare historical transaction multiples of privately held companies with transaction multiples of similar publicly held firms.

本研究旨在通过私人贴现法与基于贴现现金流预测的价值估计值以及可比倍数法,比较另类股票市场中私营公司和上市中小企业的市值。本研究中应用的估值方法产生了一个最终样本,其中包括西班牙市场上市公司和私营公司之间的232个观察结果。为了计算折现,我们采用了不同的折现现金流和倍数方法,如估值、收益、账面价值和收入。我们的结果得出结论,不存在私人折扣,相反,本文的结果表明,在某些比率下,溢价高于上市公司。负的私人公司折扣意味着溢价,另一方面,根据估值方法,一些倍数意味着折扣。本文证明,尽管西班牙的所有公司都使用相同的货币,但在同一国家内,私人折扣并没有任何可比价值。我们使用基于资本资产定价模型(CAPM)的贴现率来评估我们预测的贴现现金流,因此我们的研究也可以被视为对基于CAPM的方法对股权风险溢价、终端价值和增长率的敏感性的测试。此外,我们将私人控股公司的历史交易倍数与类似的公共控股公司的交易倍数进行了比较。
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引用次数: 1
Drawdown risk measures for asset portfolios with high frequency data 具有高频数据的资产组合的回撤风险度量
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2022-12-30 DOI: 10.1007/s10436-022-00421-y
Giovanni Masala, Filippo Petroni

In this paper, we analyze Drawdown-based risk measures for an equity portfolio with high-frequency data. The returns of individual stocks are modeled through multivariate weighted-indexed semi-Markov chains with a copula dependence structure. Through this recently published model, we show that the estimate of Drawdown-based risk measures is more faithful than that obtained with the application of classic econometric models.

在本文中,我们分析了具有高频数据的股票投资组合的基于提款的风险度量。通过具有copula依赖结构的多变量加权指数半马尔可夫链对个股的收益进行建模。通过这个最近发表的模型,我们表明,基于提款的风险度量的估计比应用经典计量经济学模型获得的估计更可靠。
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引用次数: 0
A behavioral approach to inconsistencies in intertemporal choices with the Analytic Hierarchy Process methodology 基于层次分析法的跨期选择不一致行为研究
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2022-12-05 DOI: 10.1007/s10436-022-00419-6
Viviana Ventre, Cruz Rambaud Salvador, Roberta Martino, Fabrizio Maturo

The framework of this paper is behavioral finance and, more specifically, the analysis of the main anomalies (delay, magnitude and sign effects) present in the processes of intertemporal choice. To the extent of our knowledge, only the delay effect (also known as decreasing impatience) has been discriminated between moderately and strongly decreasing impatience. However, taking into account that anomalies must be explained from a psychological point of view, the main objective of this paper is to relate the aforementioned paradoxes with the four categories of temperaments (artisan, guardian, idealist and rational) by using the sixteen personality types derived from the Myers–Briggs Type Indicator and the Behavioral Investor Types. To do this, we will use the Analytic Hierarchy Process methodology in order to detect the different levels of impatience through the so-called hyperbolic factor. Indeed, the main contribution of this paper refers to an empirical application which complements the theoretical analysis.

本文的框架是行为金融学,更具体地说,是对跨期选择过程中存在的主要异常(延迟、幅度和符号效应)的分析。就我们所知,只有延迟效应(也称为减少不耐烦)被区分为适度减少和强烈减少不耐烦。然而,考虑到必须从心理学的角度来解释反常现象,本文的主要目的是通过使用Myers–Briggs类型指标和行为投资者类型得出的16种人格类型,将上述悖论与四类气质(工匠、监护人、理想主义者和理性主义者)联系起来。为此,我们将使用层次分析法,通过所谓的双曲线因子来检测不同程度的不耐烦。事实上,本文的主要贡献是对理论分析进行补充的实证应用。
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引用次数: 2
Integrating market conditions into regulatory decisions on microfinance interest rates: does competition matter? 将市场条件纳入小额信贷利率的监管决策:竞争重要吗?
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2022-11-21 DOI: 10.1007/s10436-022-00417-8
Tristan Caballero-Montes

Microfinance rapidly developed and commercialized, exacerbating competition and the attention paid to profits. In response, many governments have capped microcredit interest rates. Using unique data on interest rate caps and a dataset comprising 1115 microfinance institutions over 2015–2018, we investigate the effect of such regulatory measures on loan sizes, with fixed-effect and two-stage residual inclusion regressions. Going further with a moderation analysis and multiple measurements of competition, we investigate whether market conditions affect this relationship. We find that microfinance institutions facing interest rate caps are associated with larger loans and financial exclusion, and that competition emphasizes this adverse effect. We suggest two mechanisms explaining such results: the deterioration of cross-subsidization possibilities and the exacerbation of risk-taking strategies of microfinance institutions, both favored by competition. Therefore, we argue against interest rate restrictions, and for the adoption of a more systemic analysis of regulatory outcomes integrating market conditions.

小额信贷迅速发展并商业化,加剧了竞争和对利润的关注。作为回应,许多政府限制了小额信贷利率。使用关于利率上限的独特数据和包括2015-2018年1115家小额信贷机构的数据集,我们调查了此类监管措施对贷款规模的影响,采用固定效应和两阶段残差包容性回归。通过适度分析和对竞争的多重衡量,我们进一步调查了市场条件是否会影响这种关系。我们发现,面临利率上限的小额信贷机构与大额贷款和金融排斥有关,而这种竞争强调了这种不利影响。我们提出了两种机制来解释这种结果:交叉补贴可能性的恶化和小额金融机构冒险策略的恶化,这两种机制都受到竞争的青睐。因此,我们反对利率限制,并主张对整合市场条件的监管结果进行更系统的分析。
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引用次数: 0
Connectivity, centralisation and ‘robustness-yet-fragility’ of interbank networks 银行间网络的连通性、集中化和“稳健但脆弱”
IF 1 Q4 BUSINESS, FINANCE Pub Date : 2022-11-15 DOI: 10.1007/s10436-022-00416-9
Mario Eboli, Bulent Ozel, Andrea Teglio, Andrea Toto

This paper studies the effects that connectivity and centralisation have on the response of interbank networks to external shocks that generate phenomena of default contagion. We run numerical simulations of contagion processes on randomly generated networks, characterised by different degrees of density and centralisation. Our main findings show that the degree of robustness-yet-fragility of a network grows progressively with both its degree of density or centralisation, although at different paces. We also find that sparse and decentralised interbank networks are generally resilient to small shocks, contrary to what so far believed. The degree of robustness-yet-fragility of an interbank network determines its propensity to generate a too-many-to-fail problem. We argue that medium levels of density and high levels of centralisation prevent the emergence of a too-many-to-fail issue for small and medium shocks whilst drastically creating the problem in the case of large shocks. Finally, our results shed some light on the actual robustness-yet-fragility of the observed core-periphery national interbank networks, highlighting the existing risk of systemic crises.

本文研究了连通性和集中化对银行间网络对外部冲击的反应的影响,这些外部冲击会产生违约传染现象。我们在随机生成的网络上对传染过程进行了数值模拟,其特征是不同程度的密度和集中度。我们的主要发现表明,网络的稳健性和脆弱性随着其密度或集中度而逐渐增长,尽管速度不同。我们还发现,稀疏和分散的银行间网络通常对小规模冲击具有弹性,这与迄今为止的看法相反。银行间网络的稳健性和脆弱性决定了其产生“多到不能倒”问题的倾向。我们认为,中等水平的密度和高水平的集中防止了中小型冲击出现太多而不能失败的问题,同时在大型冲击的情况下严重造成了问题。最后,我们的研究结果揭示了所观察到的核心外围国家银行间网络的实际稳健性和脆弱性,突出了系统性危机的现有风险。
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引用次数: 0
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Annals of Finance
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