We investigate and compare two dual formulations of the American option pricing problem based on two decompositions of supermartingales: the additive dual of Haugh and Kogan (Oper. Res. 52:258-270, 2004) and Rogers (Math. Finance 12:271-286, 2002) and the multiplicative dual of Jamshidian (Minimax optimality of Bermudan and American claims and their Monte-Carlo upper bound approximation. NIB Capital, The Hague, 2003).
This chapter provides an overview of modeling and computational issues associated with portfolio credit risk. We consider the problem of calculating the loss distribution in a portfolio of assets exposed to credit risk, such as corporate bonds or bank loans. We also discuss the pricing of portfolio credit derivatives, such as basket default swaps and collateralized debt obligations. A portfolio view of credit risk requires capturing dependence between the assets in the portfolio; we discuss models of dependence and associated computational techniques.
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.
Entrepreneurs often face undiversifiable idiosyncratic risks from their business investments. We extend the standard real options approach to an incomplete markets environment and analyze the joint decisions of business investments, consumption/savings, and portfolio selection. For a lumpsum investment payoff and an agent with a sufficiently strong precautionary savings motive, an increase in volatility can accelerate investment, contrary to the standard real options analysis.
While standard real options models assume that agents possess a constant rate of time preference, there is substantial evidence that agents are impatient about choices in the short term but are patient when choosing between long-term alternatives. We extend the real options framework to model the investment-timing decisions of entrepreneurs with time-inconsistent preferences.
This study offers the first empirical microeconomic analysis of the effectiveness of dollar debt and contract redenomination policies to mitigate adverse financial and relative price consequences from a large devaluation.
Records of 793,794 employees eligible to participate in 647 defined contribution pension plans are studied. About 71% of them choose to participate in the plans, and of the participants, 12% choose to contribute the maximum allowed, $10,500.
Can one identify a "philosophy of regulation" that underlies the regulatory advocacy of the Fed under Chairman Greenspan? Although the Fed's advocacy on various matters may appear somewhat contradictory or, at least, philosophically heterodox, the Fed has behaved in a manner that is remarkably predictable, once one takes account of the political arena in which both regulatory and monetary policy are made. There is fairly straightforward logic to the Fed's regulatory advocacy.
When a boom ends, the downturn is generally sharp and short. When growth resumes, the boom is more gradual. Our explanation rests on learning about productivity. When agents believe productivity is high, they work, invest, and produce more. More production generates higher precision information. When the boom ends, precise estimates of the slowdown prompt decisive reactions: Investment and labor fall sharply. When growth resumes, low production yields noisy estimates of recovery. Noise impedes learning, slows recovery, and makes booms more gradual than downturns.