Stochastic Volatility + Jumps: The Mixing Approach

  • 01 Mar 2002
Email a colleague
Request a PDF

This article introduces mixing theorems, a theoretical and computational approach to certain advanced option models. To begin, the Black-Scholes-Merton family of models is a well-known and sensible starting framework for understanding option prices. The framework relies on the assumption that the underlying stock price (or security price) follows a process known as geometric Brownian motion (GBM). This model has some very strong points in its favor: (i) it's consistent with stocks as limited liability securities and so the prices never fall below zero, (ii) it has uncorrelated returns, which have strong statistical support over many time scales, and (iii) it's very tractable computationally.

Click here to download the entire Learning Curve in PDF format.

  • 01 Mar 2002

All International Bonds

Rank Lead Manager Amount $m No of issues Share %
  • Last updated
  • 16 Jan 2017
1 Citi 22,118.13 61 9.00%
2 Barclays 20,987.41 55 8.54%
3 JPMorgan 17,406.75 53 7.08%
4 HSBC 16,333.52 48 6.64%
5 Goldman Sachs 15,454.74 49 6.29%

Bookrunners of All Syndicated Loans EMEA

Rank Lead Manager Amount $m No of issues Share %
  • Last updated
  • Today
1 Commerzbank Group 114.00 1 66.16%
2 CaixaBank 37.05 1 21.50%
3 UniCredit 10.62 1 6.17%
3 BNP Paribas 10.62 1 6.17%
Subtotal 172.30 3 100.00%

Bookrunners of all EMEA ECM Issuance

Rank Lead Manager Amount $m No of issues Share %
  • Last updated
  • 10 Jan 2017
1 Emirates NBD PJSC 408.38 1 31.73%
2 SG Corporate & Investment Banking 166.67 1 12.95%
2 JPMorgan 166.67 1 12.95%
2 Credit Agricole CIB 166.67 1 12.95%
5 Morgan Stanley 59.80 1 4.65%