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Yang Han
Outline ,[object Object],[object Object],[object Object],[object Object]
Outline continue ,[object Object],[object Object],[object Object]
Part 1 Why variance swap ,[object Object],[object Object],[object Object],[object Object]
What’s Variance Swap ,[object Object],[object Object]
The payoff of variance swap ,[object Object],[object Object],[object Object]
Variance swaps are convex in Volatility
Part 2 Replicating Variance Swaps ,[object Object],[object Object],[object Object]
Portfolios of call options of different strikes as a function of Stock price
V is virtually independent of Stock price
Portfolio’s payoff ,[object Object]
A long position in a forward contract and a short position in a log contract
Part 3 General Results ,[object Object],[object Object]
The math ,[object Object]
The math ,[object Object],[object Object]
The math ,[object Object]
The math ,[object Object],[object Object]
The math ,[object Object],[object Object]
The math ,[object Object]
Part 4 Effects of Volatility Skew ,[object Object]
Skew continue ,[object Object]
Part 5 Hedging Equity Returns  ,[object Object],[object Object]
Relationship between monthly changes in 30-day S&P 500 variance (as measured by the VIX Index) and monthly changes in the S&P 500 Index.  Vix: A high value corresponds to a more volatile market and therefore more costly options, which can be used to defray risk from this volatility by selling options
Volatility Relative Value and Directional Strategies  ,[object Object],[object Object],[object Object]
3M S&P 500 and Nasdaq 100 Index Volatility
Credit and Equity Volatility Relative Value  ,[object Object],[object Object],[object Object]
Correlation between Credit Risk and Equity Volatility
Continue ,[object Object]
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Variance Swaps