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The Joint Allocation of Leisure and Goods Expenditure

Econometrica 1979 47(3), 539
[Conventionally labor supply modeling has been dichotomized from consumption expenditure allocation. We estimate a model unifying both aspects of the consumer's decision problem, and we test for the two-stage decision implied by the conventional dichotomy. We investigate the gains from joint modeling. We use a version of the Rotterdam model recently shown by Barnett [6] to be derivable at the aggregate level under weaker assumptions than those needed to acquire empirically usable theoretical results at the aggregate level with other models; our results are not subject to the restrictiveness imputed to earlier uses of versions of the Rotterdam model.]

Recursive Subaggregation and a Generalized Hypocycloidal Demand Model

Econometrica 1977 45(5), 1117
[We develop a demand model from a utility tree possessing interactions at all levels. The model is both highly flexible and globally integrable. We use an approach to recursive subaggregation permitting convenient estimation with an unlimited number of goods, and we apply the approach to the construction of a food price forecasting model.]

User cost of credit card services under risk with intertemporal nonseparability

Journal of Financial Stability 2019 42, 18-35
This paper derives the user cost of monetary assets and credit card services with interest rate risk under the assumption of intertemporal non-separability. Barnett and Su (2016) derived theory permitting inclusion of credit card transaction services into Divisia monetary aggregates. The risk adjustment in their theory is based on consumption capital asset pricing model (CCAPM) under intertemporal separability. The equity premium puzzle focusses on downward bias in the CCAPM risk adjustment to common stock returns. Despite the high risk of credit card interest rates, the risk adjustment under the CCAPM assumption of intertemporal separability might nevertheless be similarly small. While the known downward bias of CCAPM risk adjustments are of little concern with Divisia monetary aggregates containing only low risk monetary assets, that downward bias cannot be ignored, once high risk credit card services are included. We believe that extending to intertemporal non-separability could provide a non-negligible risk adjustment, as has been emphasized by Barnett and Wu (2015). In this paper, we extend the credit-card-augmented Divisia monetary quantity aggregates to the case of risk aversion and intertemporal non-separability in consumption. Our results are for the “representative consumer” aggregated over all consumers. While credit-card interest-rate risk may be low for some consumers, the volatility of credit card interest rates for the representative consumer is high, as reflected by the high volatility of the Federal Reserve’s data on credit card interest rates aggregated over consumers. One method of introducing intertemporal non-separability is to assume habit formation. We explore that possibility.

The Global Properties of the Minflex Laurent, Generalized Leontief, and Translog Flexible Functional Forms

Econometrica 1985 53(6), 1421
[Caves and Christensen [16] have provided a procedure for displaying the regular regions of a flexible functional form in the 2-good homothetic and nonhomothetic cases and in the 3-good homothetic case. We extend the procedure to the nonhomothetic 3-good case, and we apply the extended procedure to the translog, generalized Leontief, and minflex Laurent flexible functional form. In addition, we acquire the regular regions for the minflex Laurent model in the 2-good nonhomothetic case and superimpose the resulting regions on those already found by Caves and Christensen for the translog and generalized Leontief models. We find that the new minflex Laurent model generally has the largest regular regions of the three flexible functional forms. In addition, the regular region of the minflex Laurent model is found to expand as real income increases. As a result, that model is particularly well suited for use with time series data, which typically is characterized by positive long term growth trends in real income. In such applications, all recent data and future forecasts can be expected to lie within the regular region of the minflex Laurent model. Although it is possible for some of the earliest data to fall outside that regular region, the model's regular region nevertheless is sufficiently large to hold even all of those earliest data points in many data sets. The regular region of each of three models moves when the model's parameters are changed. With the generalized Leontief or translog model, the regular region's shape, location, and size are unpredictable without prior knowledge of the model's parameters. With either of those two models, the intersection of the model's regular regions, as the parameters are changed, is contained within a very small neighborhood of the one point at which we require the model to be regular. With the minflex Laurent model, the primary properties of the regular regions are invariant to the values of the parameters, and the intersection of the displayed regular regions is a very large unbounded set. The width of that intersection increases without limit as real income increases.]

The New Divisia Monetary Aggregates

Journal of Political Economy 1984 92(6), 1049-1085
Barnett's Divisia monetary aggregates were derived to be elements of Diewert's class of superlative quantity index numbers. Relative to aggregation theory, Barnett's resulting monetary aggregates are strictly preferable to the official sum monetary aggregates, since the component monetary assets are not perfect substitutes. Formal empirical tests based on the relevant aggregation-theoretic criteria have likewise uniformly favored the Divisia monetary aggregates. The current article compares the Divisia with the sum monetary aggregates relative to numerous conventional policy-relevant criteria. The Divisia monetary aggregates, especially at high levels of aggregation, usually perform best in these tests.

The New Divisia Monetary Aggregates

Journal of Political Economy 1984 92(6), 1049-1085
Barnett's Divisia monetary aggregates were derived to be elements of Diewert's class of superlative quantity index numbers. Relative to aggregation theory, Barnett's resulting monetary aggregates are strictly preferable to the official sum monetary aggregates, since the component monetary assets are not perfect substitutes. Formal empirical tests based on the relevant aggregation-theoretic criteria have likewise uniformly favored the Divisia monetary aggregates. The current article compares the Divisia with the sum monetary aggregates relative to numerous conventional policy-relevant criteria. The Divisia monetary aggregates, especially at high levels of aggregation, usually perform best in these tests.

Hierarchical contagions in the interdependent financial network

Journal of Financial Stability 2022 61, 101037 open access
We derive the default cascade model and the fire-sale spillover model in a unified interdependent framework. The interactions among banks include not only direct cross-holding, but also indirect dependency by holding mutual assets outside the banking system. Using data extracted from the European Banking Authority, we present the interdependency network composed of 48 banks and 21 asset classes. For the robustness, we employ three methods, called Anan, Hała and Maxe, to reconstruct the asset/liability cross-holding network. Then we combine the external portfolio holdings of each bank to compute the interdependency matrix. The interdependency network is much denser than the direct cross-holding network, showing the complex latent interaction among banks. Finally, we perform macroprudential stress tests for the European banking system, using the adverse scenario in EBA stress test as the initial shock. For different reconstructed networks, we illustrate the hierarchical cascades and show that the failure hierarchies are roughly the same except for a few banks, reflecting the overlapping portfolio holding accounts for the majority of defaults. We also calculate systemic vulnerability and individual vulnerability, which provide important information for supervision and relevant management actions.