Working Papers
1. Responses
to "Toward Bubble Clarity: A Comment on Miao and Wang", with Pengfei
Wang, PDF, May 2025
Abstract: Tomohiro Hirano and Alexis Akira Toda (2025)
argue that our model (Miao and Wang 2018) does not feature a rational bubble
based on the traditional definition. Their comment is more about semantics
rather than about substance. They do not find any error in Miao and Wang
(2018). Their argument does not apply to the Miao-Wang model, which goes beyond
the traditional definition. The bubble component in the Miao-Wang model
incorporates a liquidity premium and cannot be ruled out by the transversality
condition.
2. Long-Term
Securities and Banking Crises, with Zhouxiang Shen
and Dongling Su, PDF,
October 2023
Abstract: The US bank holdings of long-term securities
have increased in recent years. As is witnessed by the recent bank failures
including SVB, prices of long-term securities are sensitive to interest rate
hikes and can trigger bank runs. To study the role of bank holdings of
long-term bonds, we incorporate banks in a DSGE framework. We study how
cost-push shocks and the associated passive or active interest rate hikes
affect the macroeconomy including inflation, investment, and output. The
procyclical bank balance sheets and long-term bond prices amplify the adverse
shocks, which can trigger bank runs. We introduce two types of macroprudential
policies that can mitigate or prevent banking crises: a permanent tax on bank
holdings of long-term bonds and a cyclical tax that responds to interest-rate
changes.
3. Fiscal
Stimulus under Average Inflation Targeting, with Zheng Liu and Dongling Su, PDF, November 2022
Abstract: The stimulus effects of expansionary fiscal
policy under average inflation targeting (AIT) depends on both monetary and
fiscal policy regimes. AIT features an inflation makeup under the monetary
regime, but not under the fiscal regime. In normal times, AIT amplifies the
short-run fiscal multipliers under both regimes while mitigating the cumulative
multiplies due to intertemporal substitution. In a zero-lower-bound (ZLB)
period, AIT reduces fiscal multipliers under a monetary regime by shortening the
duration of the ZLB through expected inflation makeup. Under the fiscal regime,
AIT has a nonlinear effect on fiscal multipliers because of the absence of
inflation makeup and the presence of a nominal wealth effect.
4. Robust
Financial Contracting and Investment, PDF,
with Aifan Ling and Neng Wang, Jaunary 2021.
Abstract: We study how investors' preferences for robustness influence corporate
investment, financing, and compensation decisions and valuation in a financial
contracting model with agency. We characterize the robust contract and show
that early liquidation can be optimal when investors are sufficiently ambiguity
averse. We implement the robust contract by debt, equity, cash, and a financial
derivative asset. The derivative is used to hedge against the investors'
concern that the entrepreneur may be overly optimistic. Our calibrated model
generates sizable equity premium and credit spread, and implies that ambiguity
aversion lowers Tobin's q, the average investment, and investment volatility.
The entrepreneur values the project at an internal rate of return of 3.5% per
annum higher than investors do.
5. Multivariate
LQG Control under Rational Inattention in Continuous Time. February 2019
Abstract: I propose a multivariate linear-quadratic-Gaussian control framework
with rational inattention in continuous time. I propose a three-step solution
procedure. The critical step is to transform the problem into a rate distortion
problem and derive a semidefinite programming representation. I provide
generalized reverse water-filling solutions for some
special cases and characterize the optimal signal dimension. I apply my
approach to study a consumption/saving problem and illustrate two pitfalls in the
literature.
Abstract: Stocks with high
exposure to oil price movements perform well when oil price rises and poorly
when oil price falls. This oil driven stock price momentum differs from the
conventional stock price momentum and it is related to
firms’ profitability. Daily oil price movement measures the state of the
economy at high frequency and exposures to oil price movement estimated with
daily data can be significant in forecasting future returns.
Abstract: We study a continuous-time
principal-agent problem with learning under ambiguity.
The agent takes hidden actions to affect project output. The project quality is
unknown to both the principal and the agent. The agent faces ambiguity about
mean output, but the principal does not. We show that incentives are delayed
due to ambiguity. While belief manipulation due to learning about unknown
quality causes wages and pay-performance sensitivity to be front-loaded,
ambiguity smooths wages and causes the drift and volatility of wages to decline
more slowly over time. When the level of ambiguity is sufficiently large, the
principal fully insures the agent by allowing the
agent to shirk forever.
Abstract: We incorporate long-term defaultable corporate bonds and credit risk in a dynamic stochastic general equilibrium business cycle model. Credit risk amplifies aggregate technology shocks. The debt-capital ratio provides a new state variable and its endogenous movements provide a propagation mechanism. The model can match the persistence and volatility of output growth as well as the mean equity premium and the mean risk-free rate as in the data. The model implied credit spreads are countercyclical and forecast future economic activities because they affect firm investment through Tobin's Q. They also forecast future stock returns through changes in the market price of risk. Finally, we show that shocks to the credit markets are transmitted to the real economy through Tobin's Q.
The following papers are outdated and need revisions. But they are still cited by a few papers.
1.
Stationary
Equilibria of Economies with a Continuum of Heterogeneous Consumers, PDF, 2002
2.
Managerial Preferences, Corporate
Governance, and Financial Structure, PDF, with Hong
Liu, March 2006
3.
Experimentation under
Uninsurable Idiosyncratic Risk: An Application to Entrepreneurial Survival, PDF, with Neng Wang, May 2007
Abstract: We propose an analytically
tractable continuous-time model of experimentation in which a risk-averse
entrepreneur cannot fully diversify the idiosyncratic risk from his business
investment. He makes consumption/savings and business exit decisions jointly,
while learning about the unknown quality of the project over time. Using the
closed-form solutions, we show that (i) the
entrepreneur may stay in business even though the project's net present value
(NPV) is negative; (ii) entrepreneurial risk aversion erodes option value and
lowers private project value so that a sufficiently risk-averse entrepreneur
may exit even when the NPV is positive; (iii) a more risk-averse or a more
pessimistic entrepreneur exits earlier; and (iv) the model can generate a
positive relation between wealth and entrepreneurial survival duration from
undiversifiable idiosyncratic risk without liquidity constraints.
4.
Corporate
Tax Policy and Long-Run Capital Formation: The Role of Irreversibility and
Fixed Costs, PDF, May 2008.
Abstract: This paper presents an
analytically tractable continuous-time general equilibrium model with
investment irreversibility and fixed adjustment costs. In the model, there is a
continuum of firms that are subject to idiosyncratic shocks to capital.
Although the presence of investment frictions lowers consumer welfare, it may
raise or reduce the long-run average capital stock, depending on the degree of
idiosyncratic uncertainty. An increase in this uncertainty may raise
equilibrium aggregate capital, but reduce welfare. An
unexpected permanent change in the corporate income tax rate affects the
investment trigger and target values, and hence the size and rate of capital
adjustment. Following this tax policy, the percentage changes in equilibrium
quantities are larger when fixed adjustment costs are larger. These changes are
significantly smaller in a general equilibrium model than in a partial
equilibrium model.