5) For an out-of-the-money option, the intrinsic value is zero and therefore the time value equals the option value a) trueb) false6) Which of the following statements is incorrecta) The longer the time to expiration, the higher the value of a put option (everything else being unchanged)b) The longer the time to expiration, the higher the value of a call option (everything else being unchanged)c) The lower the volatility, the higher the value of a put option (everything else being unchanged)d) The higher the volatility, the higher the value of a call option (everything else being unchanged)e) The lower the price of the underlying, the higher the value of a put option (everything else being unchanged)7) An investor with a relatively well diversified stock portfolio (value approx. $ 1’000'000) expects a bear market. The corresponding stock market index actually is at a level of 10,000 index-points and the investor buys today 25 index-put contracts (each contract has a size of 100 put options), expiring 3 months from now, exercise price 10,000 index-points, for $60 per put. One month later the index is at 9,200 index-points and the put value is at $80. The investor sells all the puts at this price. The value of the portfolio went down by 10% during that month. a) What did the investor win/lose during that month?b) In which ways was the portfolio NOT perfectly hedged? Why? c) How many puts should the investor initially have bought (at a price of $60) in order to be perfectly hedged against the decline in the value of his portfoliod) If the stock market index had been still at 10,000 after 1 month (all else equal), where would you expect the put price to have been then (higher than/equal to/less than the initial value of $60)? Why?
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