In single period models, financially constrained firms invest more in response to increases in their net worth or interest rate cuts. We examine whether or not these results necessarily hold in a multi-period setting. We present a multi-period version of the Holmstrom and Tirole moral hazard model and show that the probability of investment (or the hurdle rate for investment) in the first period of a two-period model is non-monotonic in the level of liquid balances [Holmstrom, B., Tirole, J., 1997. Financial intermediation, loanable funds, and the real sector. Quart. J. Econ. 112 (3), 663–691. August; Holmstrom, B., Tirole, J., 1998. Private and public supply of liquidity. J. Polit. Economy 106 (1), 1–40. February; Holmstrom, B., Tirole, J., 2000. Liquidity and risk management. J. Money, Credit, Banking 32 (3), 295–319. August]. When a risk-free interest rate is introduced in the model, we show that a lower interest rate (or a downward shift or the yield curve) can lead to less current investment due to the interaction of future financial constraints and discounting of cash flows. Our results have implications for the effect of monetary policy on investment by financially constrained firms. They also address several recent empirical debates, such as the relationship between liquidity and the cash-flow sensitivity of investment, and whether or not accumulation of cash balances by Japanese firms can be consistent with the existence of financial constraints affecting investment.

We explore a sequential offers model of n-person coalitional bargaining with transferable utility and with time discounting. Our focus is on the efficiency properties of stationary equilibria of strictly superadditive games, when the discount factor δ is sufficiently large; we do, however, consider examples of other games where subgame perfectness alone is employed. It is shown that delay and the formation of inefficient subcoalitions can occur in equilibrium, the latter for some or all orders of proposer. However, efficient stationary equilibrium payoffs converge to a point in the core, as δ → 1. Strict convexity is a sufficient condition for there to exist an efficient stationary equilibrium payoff vector for sufficiently high δ. This vector converges as δ → 1 to the egalitarian allocation of Dutta and Ray (1989).