(6 points, partial credit given) Your firm is concerned about the possibility of a devastating market scenario—a sharp, unexpected decline triggered by a geopolitical or financial shock. As the portfolio manager, you are asked to design a derivatives-based strategy to protect the equity portfolio against extreme downside (tail) risk. Explain how a protective put strategy could be used in this context. Describe the type of protection it provides, its cost implications, and the market environments in which this strategy would be most valuable.

Purchasing an option with a very high delta means that an investor will be guaranteed a profit by purchasing an option.

If the delta of an option on a stock is 0.3, then if the price of the stock increases by $0.5, the value of the option will change by about $0.30.

The value of a European option is always greater than or equal to the value of an American option.

Traders can use the delta of an option to predict whether an option will expire in-the-money.

When using the binomial model to value a call option, a portfolio is constructed consisting of a long position in the call option and the stock so that it is equal to the projected rate of return expected for the stock.

Exchange-traded options are always European style.

A decline in Vega will typically cause both calls and puts to gain value.

A short call position profits when the underlying asset’s price stays below the strike price over the call’s life.

For a European call option, the greater the expected volatility, the lower the option’s price.