1.a) Explain the differences between a forward contract and a futures contract
(30%)
(b) Assume a forward contract on one share of Tesco stock with a time-to-maturity egual to
ten months.The current value of Tesco stock is 295 per share,and Tesco is known to
pay a dividend of 6 in three months' time and a dividend of 3 in six months'time. The
continuously-compounded interest rate is 1% per annum.Calculate the arbitrage-free
forward price.
(15%)
(c There are two call options on an underlying stock with the same expiry date. The strike
prices are 50 and 60 respectively.The option prices are 8 and 3 respectively
Using these two options,explain how a bear spread can be created. Plot and comment
on the payoff function and profit/loss at maturity. Why would a trader invest in a bear
spread?
(30%)
(d) Using immediate excercise payoff to explain the meaning of at-the-money, in-the-money
and out-of-the-money options. What is the relationship between the strike price and
the moneyness of call and put options?
(15%)
(e) What is the relationship between the pricing factors(underlying price,strike price,time
to maturity,volatility, risk free rate and a call option price with non-dividend payment?
(10%)