If R is standard bigraded, i.e. R is generated by elements of bidegrees (1, 0) and (0, 1), then HR(u, v) is equal to a polynomial in u, v for u, v large enough [Ba], [KMV], [W]. This fact does not hold if R is not standard bigraded. In this paper we will study the case R is generated by elements of bidegrees (1, 0), (d1, 1), . . . , (dr, 1), where d1, . . . , dr are non-negative integers. This ...

Figure 1. A: Map of Charleston-Nebo salient and northernmost Book Cliffs showing rock units, thrust faults (dashed where buried), key seismic coverage (gray lines), measured stratigraphic sections (1–7; 8 is location of additional Blackhawk sandstone samples), and wells. Rock units: KTs—Cretaceous–Tertiary strata (North Horn and younger formations), Kmv—Cretaceous Mesaverde Group (Blackhawk, Ca...

We use the maximum likelihood (ML) estimation approach to estimate the default barriers from market values of equities for a sample of 762 public industrial Canadian firms. The ML approach allows us to estimate the asset instantaneous drift, volatility and barrier level simultaneously, when the firm’s equity is priced as a Down-and-Out European call (DOC) option. We find that the estimated barr...

CREDIT RISK MODELLING AND QUANTIFICATION Credit risk modelling and quantification is a very crucial issue in bank management and has become more popular among practitioners and academicians in recent years because of the changes and developments in banking and financial systems. CreditMetrics of J.P. Morgan, KMV Portfolio Manager, CreditRisk+ of Credit Suisse First Boston, and McKinsey’s Credit...