Publications
Optimality and Risk - Modern Trends in Mathematical Finance (2010)
Working Papers
R&R at the RFS (2nd round) July 2025
We consider a dynamic asymmetric information model where firms face multiple investment opportunities and their capital structure is endogenous at all times. We identify a new economic force (distinct from Myers (1977)) which leads firms to issue short-term debt and subsequently underinvest in growth options. This force, which arises at the optimal mechanism and is time-consistent, generates several new testable predictions. Strikingly, we find that greater retained earnings, or cash, can reduce the investment in positive net present value projects by firms with intermediate credit ratings, and that these firms are the most likely to issue short-term debt.
R&R at the RFS January 2025
We examine competition and collaboration between banks and fintech firms in a market with adverse selection. Banks have cheaper funding, while fintechs have better screening technology. Our innovation is to allow the bank to lend to the fintech, i.e., to finance its competitors. This partnership lowers fintech funding costs and reduces bank competition incentives. Lenders collaborate when average borrower quality is low but compete when it’s high. While partnership funding always benefits the fintech, it increases the bank’s profits only when the average borrower quality is low and benefits the borrowers only when the average quality is high.
August 2025
We study a dynamic problem of selling data without commitment to a budget-constrained receiver. The sender has access to a data-generating process, informative about a fundamental state, and can sell it either as granular observations (raw data) or summary statistics (information). Properly designed, such statistics ensure the residual uncertainty declines predictably along with the receiver's budget, supporting efficiency under gradual information sales. In contrast, selling raw data poses a risk that future observations increase residual uncertainty, exceeding the receiver's remaining budget. Consequently, selling data is inefficient if the fundamental is discrete and requires excess budget if the fundamental is non-Gaussian.
September 2025
We analyze a class of dynamic games of information exchange between two players. Each agent possesses information about a binary state that is of interest to the other player and cares about the other player's actions. Preferences are additively separable over own and the other player's actions. We fully characterize the set of equilibrium payoffs that can be sustained in such games and construct equilibria that achieve those payoffs. We show that gradual information exchange dominates static (one-shot) communication. Moreover, the whole set of outcomes that Pareto-dominate static communication can be supported in equilibrium.
May 2015
FTG Best Finance Theory Job Market Paper (2015)
In this paper I analyze the effect of time-varying market conditions and endogenous entry on equilibrium dynamics of markets plagued by adverse selection. I show that variation in gains from trade, stemming from market conditions, creates an option value and distorts liquidity when current gains from trade are low. An improvement in market conditions triggers a wave of high quality deals due to the preceding illiquidity and lack of incentives to signal quality. When gains from trade are high, the market is fully liquid; high prices and no delay in trade attract low-grade assets, and the average quality deteriorates. My analysis also reveals that illiquidity can act as a remedy as well as a cause of inefficiency: partial illiquidity allows for screening of assets and restores efficient entry incentives. I demonstrate model implications using several applications: early stage financing, initial public offerings, and private equity buyouts.
July 2016
We reexamine the classic yet static information asymmetry model of Myers and Majluf (1984) in a fully dynamic market. A firm has access to an investment project and can finance it by debt or equity. The market learns the quality of the firm over time by observing cash flows generated by the firm's assets in place. In the dynamic equilibrium, the firm optimally delays investment, but investment eventually takes place. In a "two-threshold" equilibrium, a high-quality firm invests only if the market's belief goes above an optimal upper threshold, while a low-quality firm invests if the market's belief goes above the upper threshold or below a lower threshold. However, a different "four-threshold" equilibrium can emerge if cash flows are sufficiently volatile. Relatively risky growth options are optimally financed with equity, whereas relatively safe projects are financed with debt, in line with stylized facts.
Work In Progress
Teaching
- FIN 448 - Fixed Income Securities (2017-present, Simon)
- This course offers an introduction to debt markets. It provides institutional background and introduces concepts and models used for pricing of various fixed income instruments such as fixed-coupon bonds, floating-rate notes, forwards and swaps, mortgage backed securities, and corporate debt, among others.
- FIN 523 - Advanced Corporate Finance Theory (2024-present, Simon)
- This is an advanced course in the dynamic aspects of the theory of the firm. The first part of the class covers dynamic corporate finance theory, specifically dynamic contingent-claim models of investment and capital structure. Next we will explore discrete time investment models used in structural estimation, and consider the role of debt maturity for firm investment and liquidity management. Finally, we will cover dynamic agency models of investment and financing, and the role of asymmetric information and market liquidity in firm investment and financing decisions.
- FIN 511 - Continuous Time Methods in Finance (2018-2023, Simon)
- This is an advanced course in the theory of capital markets. The first part of the course covers classical continuous time models of no-arbitrage pricing, portfolio choice, and equilibrium pricing. The second part of the class presents recent developments in consumption- and production-based equilibrium models, intermediary asset pricing, credit risk and other topics.
- FNCE250 - Venture Capital and the Finance of Innovation (2015-2017, Wharton)
- This course covers the finance of technological innovation, with a focus on the valuation tools useful in the venture capital industry. These tools include the "venture capital method," comparables analysis, discounted cash flow analysis, contingent-claims analysis. The primary audience for this course is finance majors interested in careers in venture capital or in R&D-intensive companies in health care or information technology.
Contact Information
- pavel.zryumov@simon.rochester.edu
- Simon Business School, University of Rochester
- 305 Schlegel Hall, Rochester, NY 14627