Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On nonexistence of non-constant volatility in the Black-Scholes formula   We prove that if the Black-Scholes formula holds with the spot volatility for
call options with all strikes, then the volatility parameter is constant. The
proof relies some result on semimartingales (Theorem 2) of independent
interest.

35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph