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Discussion Paper
The Law of One Price in Equity Volatility Markets
Can option traders take a square root? Surprisingly, maybe not. This post shows that VIX futures prices exhibit significant deviations from their option-implied upper bounds—the square root of variance swap forward rates—thus violating the law of one price, a fundamental concept in economics and finance. The deviations widen during periods of market stress and predict the returns of VIX futures. Just as the stock market struggles with multiplication, the equity volatility market appears unable to take a square root at times.
Discussion Paper
Short-Dated Term Premia and the Level of Inflation
Since the advent of derivatives trading on short-term interest rates in the 1980s, financial commentators have often interpreted market prices as directly reflecting the expected path of future interest rates. However, market prices generally embed risk premia (or “term premia” in reference to measures of risk premia over different horizons) reflecting the compensation required to bear the risk of the asset. When term premia are large in magnitude, derivatives prices may differ substantially from investor expectations of future rates. In this post, we assess whether term premia have ...
Discussion Paper
Equity Volatility Term Premia
Investors can buy volatility hedges on the stock market using variance swaps or VIX futures. One motivation for hedging volatility is its negative relationship with the stock market. When volatility increases, stock returns tend to decline contemporaneously, a result known as the leverage effect. In this post, we measure the cost of volatility hedging by decomposing the prices of variance swaps and VIX futures into volatility forecasts and estimates of expected returns (“equity volatility term premia”) from January 1996 to June 2020.