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Closed-form approximations of moments and densities of continuous–time Markov models 连续时间马尔可夫模型的矩和密度的闭式近似值
IF 1.9 3区 经济学 Q2 ECONOMICS Pub Date : 2024-09-19 DOI: 10.1016/j.jedc.2024.104948

This paper develops power series expansions of a general class of moment functions, including transition densities and option prices, of continuous-time Markov processes, including jump–diffusions. The proposed expansions extend the ones in Kristensen and Mele (2011) to cover general Markov processes, and nest transition density and option price expansions recently developed in the literature, thereby connecting seemingly different ideas in a unified framework. We show how the general expansion can be implemented for fully general jump–diffusion models. We provide a new theory for the validity of the expansions which shows that series expansions are not guaranteed to converge as more terms are added in general once the time span of interest gets larger than some model–specific threshold. Thus, these methods should be used with caution when applied to problems with a larger time span of interest, such as long-term options or data observed at a low frequency. At the same time, the numerical studies in this paper demonstrate good performance of the proposed implementation in practice when applied to pricing options with time to maturity below three months. Thus, our expansions are particularly well suited for pricing ultra-short-term (such as “zero–day”) options.

本文开发了连续时间马尔可夫过程(包括跳跃扩散)的一般矩函数(包括过渡密度和期权价格)的幂级数展开。本文提出的扩展扩展了 Kristensen 和 Mele (2011) 的扩展,涵盖了一般马尔可夫过程,并嵌套了最近在文献中提出的过渡密度和期权价格扩展,从而在一个统一的框架中连接了看似不同的观点。我们展示了如何为完全一般的跳跃扩散模型实现一般扩展。我们为扩展的有效性提供了一种新的理论,表明一旦感兴趣的时间跨度大于特定模型的某个阈值,一般来说,随着项的增加,数列扩展并不能保证收敛。因此,在应用这些方法解决时间跨度较大的问题(如长期期权或低频观测数据)时,应谨慎使用。同时,本文中的数值研究表明,当应用于对到期时间低于三个月的期权进行定价时,所提出的实现方法在实践中表现良好。因此,我们的扩展特别适合为超短期(如 "零日")期权定价。
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引用次数: 0
Capital misallocation and economic development in a dynamic open economy 动态开放经济中的资本错配与经济发展
IF 1.9 3区 经济学 Q2 ECONOMICS Pub Date : 2024-09-18 DOI: 10.1016/j.jedc.2024.104969
Some countries, such as Canada, Italy, and Mexico, have experienced a higher growth rate of capital per worker but a lower growth rate for GDP per worker compared to the United States. This paper explains these two facts through the lens of a dynamic multisector open economy model where capital flows across countries. In the model, firms face sector-specific distortions on capital and intermediate inputs that influence the actual rate of return on capital and the aggregate total factor productivity (TFP). We calibrate the model to Mexico for the period 2000-2014 and show that changes in sectoral distortions and productivities reduced the actual rate of return on capital, triggering capital accumulation and a reduction in TFP. The results show that aggregate output decreased by 7.3% and aggregate capital increased by 10.6%. From 33 sectors (out of 48) that suffered productivity losses, approximately 50% accumulated more capital. Furthermore, the capital-intensive sectors explain 82% of the capital-output ratio increase.
与美国相比,加拿大、意大利和墨西哥等国的工人人均资本增长率较高,但工人人均国内生产总值增长率较低。本文通过一个资本在各国间流动的动态多部门开放经济模型来解释这两个事实。在该模型中,企业在资本和中间投入方面面临特定部门的扭曲,从而影响资本的实际回报率和全要素生产率(TFP)。我们对墨西哥 2000-2014 年期间的模型进行了校准,结果表明,部门扭曲和生产率的变化降低了资本的实际回报率,引发了资本积累和全要素生产率的下降。结果显示,总产出减少了 7.3%,总资本增加了 10.6%。在生产率下降的 33 个部门(共 48 个)中,约 50%的部门积累了更多的资本。此外,资本密集型部门占资本产出比增长的 82%。
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引用次数: 0
Commodity prices and production networks in small open economies 小型开放经济体的商品价格和生产网络
IF 1.9 3区 经济学 Q2 ECONOMICS Pub Date : 2024-09-16 DOI: 10.1016/j.jedc.2024.104968

We study the role of domestic production networks in the transmission of commodity price fluctuations in small open economies. First, we present a tractable model of a small open economy's production network to explain sectoral propagation patterns. We demonstrate that the domestic production network is crucial in shaping the propagation of commodity prices. Using a panel of 31 sectors across 9 small open economies, we empirically confirm the model's predictions. Next, we construct a dynamic model of a small open economy featuring a production network to study the macroeconomic importance of the network structure in shaping both aggregate and sectoral responses to commodity price shocks. We show that: (i) the network-adjusted labor share of the commodity sector, rather than the sector's size, is key to understanding the real wage's response to commodity price fluctuations; and (ii) non-unitary elasticities of substitution in production are crucial for understanding the cross-sectional implications of these fluctuations.

我们研究了国内生产网络在小型开放经济体商品价格波动传播中的作用。首先,我们提出了一个小型开放经济体生产网络的可行模型,以解释部门传播模式。我们证明,国内生产网络在影响商品价格传播方面至关重要。我们利用 9 个小型开放经济体 31 个部门的面板数据,通过经验证实了模型的预测。接下来,我们构建了一个以生产网络为特征的小型开放经济体动态模型,以研究网络结构在影响总体和部门对商品价格冲击的反应方面的宏观重要性。我们的研究表明(i) 要理解实际工资对商品价格波动的反应,关键在于商品部门经网络调整的劳动力份额,而非部门规模;(ii) 生产中的非单位替代弹性对于理解这些波动的横截面影响至关重要。
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引用次数: 0
How do households respond to income shocks? 家庭如何应对收入冲击?
IF 1.9 3区 经济学 Q2 ECONOMICS Pub Date : 2024-09-05 DOI: 10.1016/j.jedc.2024.104961

We use panel data from the Italian Survey of Household Income and Wealth from 1991 to 2016 to document what components of the household budget constraint change in response to shocks to household labor income, both over shorter and over longer horizons. Consumption and wealth responses are informative about the household consumption (or savings) function and thus about what class of consumption-savings model best describes the data. Empirically, we first show that shocks to labor income are associated with negligible changes in transfers and non-labor income components, modest changes in consumption expenditures, and large changes in wealth. To understand the wealth response we then split households into a sample that does not own business or real estate wealth, and a sample that does. For the first group, we find that consumption responses are more substantial (and increasing with the horizon of the income shock) and wealth responses are much smaller (and mildly increasing with the income shock horizon). Turning to theory, we argue that for this group, a simple extension of the standard permanent income hypothesis (PIH) consumption function that allows for partial insurance against even permanent income shocks explains the consumption and wealth responses well, both at short and long horizons. For the second group with business wealth or real estate wealth the standard framework cannot explain the large changes in wealth associated with income shocks. We conclude that models which include shocks to the value of household wealth are necessary to fully evaluate the sources and consequences of household resource risk.

我们利用 1991 年至 2016 年意大利家庭收入和财富调查的面板数据,记录了家庭预算约束的哪些部分会在较短和较长期限内随着家庭劳动收入的冲击而发生变化。消费和财富反应可以说明家庭消费(或储蓄)函数,从而说明哪一类消费-储蓄模型能最好地描述数据。从经验上看,我们首先表明,劳动收入的冲击与转移支付和非劳动收入部分的微小变化、消费支出的适度变化以及财富的大幅变化相关联。为了了解财富反应,我们将家庭分为不拥有企业或房地产财富的样本和拥有企业或房地产财富的样本。对于第一组样本,我们发现消费反应更为显著(且随收入冲击的持续时间而增加),而财富反应则小得多(且随收入冲击的持续时间而轻微增加)。从理论上讲,我们认为,对于这一类人,对标准永久收入假说(PIH)消费函数进行简单扩展,允许对永久收入冲击进行部分保险,就能很好地解释消费和财富的反应,无论是在短期还是长期。对于拥有商业财富或房地产财富的第二类人,标准框架无法解释与收入冲击相关的财富的巨大变化。我们的结论是,有必要建立包含家庭财富价值冲击的模型,以全面评估家庭资源风险的来源和后果。
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引用次数: 0
Unconventional policies in state-dependent liquidity traps 依赖国家的流动性陷阱中的非常规政策
IF 1.9 3区 经济学 Q2 ECONOMICS Pub Date : 2024-09-04 DOI: 10.1016/j.jedc.2024.104956

We characterize optimal unconventional monetary and fiscal-financial policies against supply- and demand-driven liquidity traps within a tractable New Keynesian model featuring a cash-in-advance constraint and a monetary policy cost channel. Deposit subsidies circumvent the inflation-output trade-off arising from stagflationary shocks and supply-driven liquidity traps by enabling negative nominal interest rates. Additionally, deposit taxes facilitate modest interest rate hikes to escape demand-driven deflationary traps. Notably, discretionary and commitment policies with deposit taxes / subsidies deliver virtually equivalent welfare gains, rendering time-inconsistent forward guidance schedules unnecessary. We also derive robust and implementable optimal policy rules when the sources of shocks are unknown.

我们在一个以预付现金约束和货币政策成本渠道为特征的可操作的新凯恩斯主义模型中,描述了针对供应和需求驱动的流动性陷阱的最优非常规货币和财政金融政策。存款补贴通过实现负名义利率,规避了滞胀冲击和供应驱动的流动性陷阱所导致的通胀-产出权衡。此外,存款税有利于适度提高利率,以摆脱需求驱动的通货紧缩陷阱。值得注意的是,征收存款税/补贴的自由裁量政策和承诺政策所带来的福利收益几乎相同,因此没有必要制定时间不一致的前瞻性指导计划。当冲击来源未知时,我们还得出了稳健且可实施的最优政策规则。
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引用次数: 0
How to construct monthly VAR proxies based on daily surprises in futures markets 如何根据期货市场的每日意外事件构建月度 VAR 代用指标
IF 1.9 3区 经济学 Q2 ECONOMICS Pub Date : 2024-09-03 DOI: 10.1016/j.jedc.2024.104966

It is common in applied work to estimate responses of macroeconomic aggregates to news shocks derived from surprise changes in daily futures prices around the date of policy announcements. This requires mapping the daily surprises into a monthly shock that may be used as an external instrument in a monthly VAR model or local projection. The standard approach has been to sum these daily surprises over the course of a given month when constructing the monthly proxy variable, ignoring the accounting relationship between daily and average monthly price data. In this paper, I discuss an alternative approach to constructing monthly proxies from daily surprises that takes account of this link and revisit the question of how to use OPEC announcements to identify news shocks in VAR models of the global oil market. The proposed approach calls into question the interpretation of the identified shock as oil supply news and implies quantitatively and qualitatively different estimates of the macroeconomic impact of OPEC announcements.

在应用工作中,通常会估算宏观经济总量对政策公布日前后每日期货价格意外变化所产生的新闻冲击的反应。这就需要将每日意外事件映射为月度冲击,在月度 VAR 模型或本地预测中作为外部工具使用。标准的方法是,在构建月度替代变量时,将给定月份内的每日意外加总,忽略每日价格数据与月度平均价格数据之间的核算关系。在本文中,我讨论了从每日意外事件中构建月度替代变量的另一种方法,这种方法考虑到了这种联系,并重新探讨了如何在全球石油市场的 VAR 模型中使用欧佩克公告来识别新闻冲击的问题。所提出的方法对将所识别的冲击解释为石油供应新闻提出了质疑,并意味着对欧佩克公告的宏观经济影响的估计在数量和质量上有所不同。
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引用次数: 0
Deferred annuities with gender-neutral pricing: Benefitting most women without adversely affecting too many men 不分性别定价的递延年金:使大多数女性受益,同时不会对太多男性产生不利影响
IF 1.9 3区 经济学 Q2 ECONOMICS Pub Date : 2024-08-30 DOI: 10.1016/j.jedc.2024.104947

Many countries emphasize gender equality and ban gender-based annuity pricing, leading to more heterogeneous health characteristics and market inefficiency. Governments may respond by offering deferred annuities when annuitants' health characteristics are more similar at an earlier age. The two combined policies benefit most female annuitants without adversely affecting too many male annuitants, contrasting to the well-known result that imposing gender-neutral pricing benefits all women but adversely affects all men, when only immediate annuities are available. Within each gender group, these two policy interventions benefit annuitants with average health, but may adversely affect those on either end.

许多国家强调性别平等,禁止基于性别的年金定价,从而导致更多的异质性健康特征和市场低效。政府可以通过在年金领取人较早年龄段的健康特征较为相似时提供递延年金的方式来应对。这两项政策的结合使大多数女性年金领取者受益,而不会对太多男性年金领取者产生不利影响,这与众所周知的结果形成鲜明对比,即在只提供即期年金的情况下,实行性别中立定价使所有女性受益,但对所有男性产生不利影响。在每个性别群体中,这两种政策干预措施都会使健康状况一般的年金领取者受益,但可能会对健康状况较差的年金领取者产生不利影响。
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引用次数: 0
Firm financing and the relative demand for labor and capital 企业融资以及对劳动力和资本的相对需求
IF 1.9 3区 经济学 Q2 ECONOMICS Pub Date : 2024-08-30 DOI: 10.1016/j.jedc.2024.104946

Using more than one million firm-year observations of small and medium European firms between 2003 and 2019, this paper introduces new stylized facts on how firms' relative demand for labor and capital evolved as their capital structure adjusted to the events of the 2008 crisis. It also provides micro-level evidence that firms substitute capital for labor when financing costs rise. The empirical evidence lends support to the hypothesis that substitution is driven by an incentive to raise holdings of collateralizable capital. Identification of exogenous variations in firm financing costs relies on the heterogeneous effects of ECB monetary policy surprises on financing costs across the firm distribution.

本文利用 2003 年至 2019 年期间对 100 多万家欧洲中小型企业的企业年观测数据,介绍了企业对劳动力和资本的相对需求随着其资本结构适应 2008 年危机事件而演变的新的典型事实。本文还提供了微观层面的证据,证明当融资成本上升时,企业会用资本替代劳动力。实证证据支持这样的假设,即替代是由提高可抵押资本持有量的激励因素驱动的。企业融资成本外生变化的识别依赖于欧洲央行货币政策意外对整个企业分布中融资成本的异质性影响。
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引用次数: 0
Corrigendum to “Applications of Markov chain approximation methods to optimal control problems in economics” [Journal of Economic Dynamics and Control, 143:104437, October 2022] 马尔可夫链近似方法在经济学最优控制问题中的应用》更正[《经济学动态与控制学报》,143:104437,2022年10月]
IF 1.9 3区 经济学 Q2 ECONOMICS Pub Date : 2024-08-27 DOI: 10.1016/j.jedc.2024.104933
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引用次数: 0
Optimism leads to optimality: Ambiguity in network formation 乐观导致最优:网络形成中的模糊性
IF 1.9 3区 经济学 Q2 ECONOMICS Pub Date : 2024-08-22 DOI: 10.1016/j.jedc.2024.104944

We analyze a model of endogenous two-sided network formation where players are affected by uncertainty about their opponents' decisions. We model this uncertainty using the notion of equilibrium under ambiguity as in Eichberger and Kelsey (2014). Unlike the set of Nash equilibria, the set of equilibria under ambiguity does not always include underconnected and thus inefficient networks such as the empty network. On the other hand, it may include networks with unreciprocated, one-way links, which comes with an efficiency loss as linking efforts are costly. We characterize equilibria under ambiguity and provide conditions under which increased player optimism comes with an increase in connectivity and realized benefits in equilibrium. Next, we analyze network realignment under a myopic updating process with optimistic shocks and derive a global stability condition of efficient networks in the sense of Kandori et al. (1993). Under this condition, a subset of the Pareto optimal equilibrium networks is reached, specifically, networks that maximize the players' total benefits of connections.

我们分析了一个内生双面网络形成模型,在这个模型中,参与者会受到对手决策不确定性的影响。我们使用 Eichberger 和 Kelsey(2014 年)中的模糊均衡概念来模拟这种不确定性。与纳什均衡集不同的是,模糊条件下的均衡集并不总是包括连接不足从而效率低下的网络,例如空网络。另一方面,它也可能包括未互惠、单向链接的网络,这也会带来效率损失,因为链接的成本很高。我们描述了模棱两可情况下的均衡,并提供了一些条件,在这些条件下,玩家乐观程度的提高会增加均衡中的连通性和实现的收益。接下来,我们分析了具有乐观冲击的近视更新过程下的网络调整,并推导出 Kandori 等人(1993 年)意义上的高效网络的全局稳定性条件。在这一条件下,帕累托最优均衡网络的一个子集就会达成,具体来说,就是博弈者的连接总收益最大化的网络。
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引用次数: 0
期刊
Journal of Economic Dynamics & Control
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