Its obvious that a stock + a Put is less risky then just the stock.
Likewise a `call is simply the piece of a stock that can only go up.
To emulate a stock portfolio, sell the stock, and buy an exactly equivalent number of calls.
You reduced risk of loss.
2 comments:
The price of a call is best thought to represent two types of value: intrinsic value (the expected exercise value given current realized volatility of the underlying) and a premium related to the implied demand for volatility (the price risk, because call and put volatility must be ~ the same). Long call short stock varies between long exposure to risk and nonlinearity (if the call is long dated, or OTM) and simply a fractional long position (if the call is deep ITM although such calls are illiquid and should be avoided). Because of spot-vol anti-correlation, for most investors who carry lots of beta and would otherwise be unhedged, indeed a long vol position often has a more attractive return distribution. However there is no mere arbitrage in Stock vs. a portfolio which is short stock and long calls hedged such that delta = 1 (so that it was a "synthetic only go up stock"). The latter portfolio merely offers a different distribution of returns over time (having pops during sporadic risk events where volatility appreciates, but incurring a drag of ~2% to roll the call because of poor liquidity for options).
Calls are less risky than stock. Period. Both can go to zero. But stocks cost more.
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