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
  • 24 Jul 2017
1 Citi 253,106.92 930 8.89%
2 JPMorgan 230,914.50 1036 8.11%
3 Bank of America Merrill Lynch 221,389.46 762 7.78%
4 Goldman Sachs 171,499.26 554 6.03%
5 Barclays 169,046.60 646 5.94%

Bookrunners of All Syndicated Loans EMEA

Rank Lead Manager Amount $m No of issues Share %
  • Last updated
  • 25 Jul 2017
1 HSBC 27,039.93 106 7.36%
2 Deutsche Bank 25,125.19 81 6.84%
3 Bank of America Merrill Lynch 23,128.33 61 6.29%
4 BNP Paribas 19,315.94 110 5.26%
5 Credit Agricole CIB 18,706.93 106 5.09%

Bookrunners of all EMEA ECM Issuance

Rank Lead Manager Amount $m No of issues Share %
  • Last updated
  • 25 Jul 2017
1 JPMorgan 13,488.13 59 8.47%
2 Citi 11,496.21 73 7.22%
3 UBS 11,302.86 45 7.09%
4 Morgan Stanley 10,864.95 59 6.82%
5 Goldman Sachs 10,434.21 54 6.55%