QuantForcesquant interview practice

06017. Delta-hedged call: gamma vs theta

difficulty 1500·answer type: boolean·Not solved

Problem

You just entered a long position for a call option on GM and hedged the position by shorting GM shares to make the portfolio delta-neutral. If there is an immediate increase or decrease in GM's stock price, what happens to your portfolio value? Is it an arbitrage opportunity? Assume GM doesn't pay dividends.

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