eprintid: 174 rev_number: 4 eprint_status: archive userid: 6 dir: disk0/00/00/01/74 datestamp: 2008-10-13 lastmod: 2015-05-29 19:48:43 status_changed: 2009-04-08 16:55:19 type: report metadata_visibility: show item_issues_count: 0 creators_name: Cheng, Raymond K. creators_name: Lawi, Stéphan creators_name: Swishchuck, Anatoliy contributors_name: Badescu, Andrei contributors_name: Mekki, Hammouda Ben contributors_name: Gashaw, Asrat Fikre contributors_name: Hua, Yuanyuan contributors_name: Molyboga, Marat contributors_name: Neocleous, Tereza contributors_name: Petratchenko, Yuri title: Price Pseudo-Variance, Pseudo-Covariance, Pseudo-Volatility, and Pseudo-Correlation Swaps - In Analytical Closed-Forms ispublished: pub subjects: finance studygroups: ipsw6 companyname: RBC Financial Group full_text_status: public abstract: In the usual complete market framework, the unique prices of swaps involving so-called pseudo-statistics can be computed as the mathematical expectation of the discounted payoffs under the measure in which the discounted rate process is a martingale. In this report, we present analytic formulas for these expectations for the pseudo-variance and pseudo-volatility swaps, as requested by the problem statement. Also, we use Monte-Carlo simulation to experiment with a stochastic volatility model. problem_statement: The problem concerns the pricing of swaps involving the so-called pseudo-statistics, namely the pseudo-variance, -covariance, -volatility, and -correlation. These products provide an easy way for investors to gain exposure to the future level of volatility. date: 2002 date_type: published pages: 11 citation: Cheng, Raymond K. and Lawi, Stéphan and Swishchuck, Anatoliy (2002) Price Pseudo-Variance, Pseudo-Covariance, Pseudo-Volatility, and Pseudo-Correlation Swaps - In Analytical Closed-Forms. [Study Group Report] document_url: http://miis.maths.ox.ac.uk/miis/174/1/RBC.pdf