Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Default risk modeling beyond the first-passage approximation:
  Position-dependent killing   Diffusion in a linear potential in the presence of position-dependent killing
is used to mimic a default process. Different assumptions regarding transport
coefficients, initial conditions, and elasticity of the killing measure lead to
diverse models of bankruptcy. One "stylized fact" is fundamental for our
consideration: empirically default is a rather rare event, especially in the
investment grade categories of credit ratings. Hence, the action of killing may
be considered as a small parameter. In a number of special cases we derive
closed-form expressions for the entire term structure of the cumulative
probability of default, its hazard rate and intensity. Comparison with
historical data on global corporate defaults confirms applicability of the
model-independent perturbation method for companies in the investment grade
categories of credit ratings and allows for

27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph