Impact of random monetary shock: a Keynesian case

Fuente: arXiv
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Main Authors: Pramanik, Paramahansa, Dong, Lambert
Format: Preprint
Published: 2025
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author Pramanik, Paramahansa
Dong, Lambert
author_facet Pramanik, Paramahansa
Dong, Lambert
contents This study investigates the optimal strategy for a firm operating in a dynamic Keynesian market setting. The firm's objective function is optimized using the percent deviations from the symmetric equilibrium of both its own price and the aggregate consumer price index (CPI) as state variables, with the strategy in response to random monetary shocks acting as the control variable. Building on the Calvo framework, we adopt a mean field approach to derive an analytic expression for the firm's optimal strategy. Our theoretical results show that greater volatility leads to a decrease in the optimal strategy. To asses the practical relevance of our model, we apply it to four leading consumer goods firms. Empirical analysis suggests that the observed decline in strategies under uncertainty is significantly steeper than what the model predicts, underscoring the substantial influence of market volatility.
format Preprint
id arxiv_https___arxiv_org_abs_2505_00800
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Impact of random monetary shock: a Keynesian case
Pramanik, Paramahansa
Dong, Lambert
Theoretical Economics
91A15, 91-10
This study investigates the optimal strategy for a firm operating in a dynamic Keynesian market setting. The firm's objective function is optimized using the percent deviations from the symmetric equilibrium of both its own price and the aggregate consumer price index (CPI) as state variables, with the strategy in response to random monetary shocks acting as the control variable. Building on the Calvo framework, we adopt a mean field approach to derive an analytic expression for the firm's optimal strategy. Our theoretical results show that greater volatility leads to a decrease in the optimal strategy. To asses the practical relevance of our model, we apply it to four leading consumer goods firms. Empirical analysis suggests that the observed decline in strategies under uncertainty is significantly steeper than what the model predicts, underscoring the substantial influence of market volatility.
title Impact of random monetary shock: a Keynesian case
topic Theoretical Economics
91A15, 91-10
url https://arxiv.org/abs/2505.00800