Implied volatility is the volatility implied in the option price given the other variables that is time, exercise price, underlying asset price, etc.
Realized volatility is the subsequent movement in the assets’ volatility following the options trade. It is not possible to calculate implied volatility using the Black-Scholes model but it is calculated iteratively using the Newton-Raphson technique.
Quindi, utilizzando BS, IV è quella che inserisco per calcolare il prezzo, mentre RV è quella che ricavo invertendo la formula dal prezzo.
Mmmhhhh, forse il busillis sta qui...
Payoff (Variance Swap) = notional x (realized implied volatility² – implied volatility²)
Payoff (VSTOXX® Mini Futures) =
index multiplier (i.e. EUR 100) x (realized 30-day implied volatility level at expiration - expected 30-day implied volatility at trade
initiation) X number of contracts
The financial market trades realized volatility through OTC variance swaps. Variance swaps reflect the daily price changes measured by the daily log normal returns of the underlying instrument and these prices changes can differ substantially from the implied volatility, as reflected by the option premiums used to calculate the VSTOXX® Index.
Generating alpha
Efficient vega positioning and volatility spreads
Eurex VSTOXX® Mini Futures offer a very cheap and leveraged way to initiate directional strategies in volatility, because there is no
requirement to delta hedge for movement in the underlying asset, as it is the case when trading volatility with straddles and
strangles in equity index options. The Eurex VSTOXX® Mini Futures contract is ‘pure vega’, a 1 percent increase or decrease in
implied volatility increases or decreases the value of the contract by EUR 100 i.e. the indexmultiplier.
VSTOXX® Mini Futures provide the fund manager with a cheaper vehicle to attain pure European equity volatility vega exposure
than through using EURO STOXX® Index Options. A one month at-the-money option has a vega of approximately EUR 342 and a
twomonth at the money EURO STOXX® Index Option would have approximately a EUR 46 vega – a third and a half that of the
vega value of a VSTOXX® Mini Future respectively. Moreover, the Eurex VSTOXX® Mini Futures contract allows for leveraged
relative value implied volatility spread strategies trading European equity implied volatility against. U.S. equity implied volatility by
initiating spread trades with its equivalent in the U.S. market, the VIX® volatility index futures contract traded at the CBOE.
How can a VSTOXX® volatility index spread versus the CBOE VIX® be structured? One method is to structure the position in terms
of the monetary value of a given change in volatility of each contract that is the monetary value of a 1 percent change in volatility.
Obviously, based on this approach the ratio for the VIX®/VSTOXX® spread would be 1:6.90 as a 1 percent change in volatility for
both contracts is USD 1’000 versus EUR 100 at a prevailing exchange rates of EUR/USD 1.45. However it is noteworthy to
recognize that both underlying indexes the S&P 500® as well as the EURO STOXX 50® differ in the absolute number of
constituents, as well as within the structure of the underlying sectors. Therefore, irrespective of their benchmark status in the
respective equity landscape, these two factors are relevant for individual movements not necessarily explainable through global
equity shocks.
Devo rimettermi a studiare...