Stochastic Volatility + Jumps: The Mixing Approach

  • 01 Mar 2002
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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.

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  • 01 Mar 2002

All International Bonds

Rank Lead Manager Amount $m No of issues Share %
  • Last updated
  • 13 Mar 2017
1 JPMorgan 94,925.33 384 8.39%
2 Citi 87,531.58 331 7.74%
3 Bank of America Merrill Lynch 84,341.49 288 7.46%
4 Barclays 75,288.19 241 6.66%
5 Goldman Sachs 68,504.71 208 6.06%

Bookrunners of All Syndicated Loans EMEA

Rank Lead Manager Amount $m No of issues Share %
  • Last updated
  • 16 May 2017
1 Deutsche Bank 19,381.65 47 8.82%
2 Bank of America Merrill Lynch 18,968.25 36 8.63%
3 HSBC 18,103.95 50 8.24%
4 BNP Paribas 8,911.57 55 4.05%
5 SG Corporate & Investment Banking 8,885.00 54 4.04%

Bookrunners of all EMEA ECM Issuance

Rank Lead Manager Amount $m No of issues Share %
  • Last updated
  • 23 May 2017
1 JPMorgan 8,714.26 35 8.36%
2 UBS 8,283.47 33 7.95%
3 Goldman Sachs 7,736.57 37 7.42%
4 Citi 6,897.11 46 6.62%
5 Bank of America Merrill Lynch 6,215.31 24 5.96%