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The price of a non-dividend paying share, St, follows a geometric Brownian motion process. The current price of the share is £10 and volatility of the share price process is 12% per annum. The constant continuously compounded risk-free rate of interest is 4% per annum.
(a) Using Black-Scholes formula, show that the price of a European call option contract on the share with strike price £10 and 1 year to maturity is £0.69.
(b) Using put-call parity, or otherwise, calculate the price of a European put option contract on the share with strike price £10 and 1 year to maturity.
(c) Consider a strategy of simultaneously buying a 1-year European call option contract with strike price £10 and a 1-year European put option contract with strike price £10.
(i) Draw and label the consolidated prot diagram for the strategy.
(ii) Outline the rationale behind the choice of this particular strategy.
(a).At the end of three years, how much is an initial deposit of $100 worth, assuming a compound annual interest rate of (i) 100 percent? (ii) 10 percent? (iii) 0 percent? (b).b. A
We defined the conversion premium as the difference between the market price of the convertible and the conversion value. The conversion premium ratio tells us ab
sums
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