Practise Questions(2)

(iii) What is the value of the put option? ………… 26. (i) 0.435; (ii) Long position in 0.556 shares; (iii) 2.74; 2.

27. For a call option on a non-dividend-paying stock, the stock price is $30, the strike price is $29, the risk-free interest rate is 6% per annum, the volatility is 20% per annum and the time to maturity is three months. Expressed in terms of the cumulative normal function, N(x), (i) What is the price of the option? ……………………………………………. (ii) What is the price of the option if it is a put? ……………………………. 27. (i) 30N(0.5390)?28.57N(0.4390);(ii) 28.57N(?0.4390)?30N(?0.5390) 28. A portfolio of derivatives on a stock has a delta of 2400 and a gamma of ?100. (i) What position in the stock would create a delta-neutral portfolio?..................... (ii) An option on the stock with a delta of 0.6 and a gamma of 0.04 can be traded. What position in the option and the stock creates a portfolio that is both gamma and delta neutral?.................

28. (i) Short 2,400; (ii) Long 2,500 options; Short 3,900 shares

29. The delta of a European call option on a non-dividend-paying stock is 0.6, its gamma is 0.04 and its vega is 0.1

(i) What is the delta of a European put option with the same strike price and time to maturity as the call option?....................

(ii) What is the gamma of a European put option with the same strike price and time to maturity as the call option?....................

(iii) What is the vega of a European put option with the same strike price and time to maturity as the call option?........................ 29(i) ?0.4; (ii) 0.04; (iii) 0.1.

30. As time passes, the spot price and the futures price do not necessarily change by the same amount, a decrease in basis is referred to as?

(a) strengthening b) improving (c) weakening (d) none of the above 30 (c)

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