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SOLUTIONS. C hapter 23. DERIVATIVES: MANAGING FINANCIAL RISK. PROBLEM 23.10. A call option at a strike price of Rs 176 is selling at a premium of Rs 18. At what price will it break even for the buyer of the option?. SOLUTION 23.10.
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SOLUTIONS Chapter 23 DERIVATIVES: MANAGING FINANCIAL RISK
PROBLEM 23.10 • A call option at a strike price of Rs 176 is selling at a premium of Rs 18. At what price will it break even for the buyer of the option? SOLUTION 23.10 • To recover the option premium of Rs 18, the spot will have to rise to Rs 176+Rs 18 = Rs 194. The option would be break even for the buyer at a price of Rs 194.
PEOBLEM 23.11 • Spot value of S&P CNX Nifty is 1200. An investor bought one-month S&P CNX Nifty at 1,220 with a call option for a premium of Rs 10. What type of option is it? SOLUTION 23.11 • It is an out-of-money option
PROBLEM 23.12 • A stock currently sells for Rs 120. The put option to sell the stock sells at Rs 134 and costs Rs 18. Compute the time value of option. SOLUTION 23.12 • The time value of the option is Rs 4
PROBLEM 23.13 • If the daily volatility of the Nifty is 1.92, compute the sigma figure used in the Black Scholes formula. SOLUTION 23.13 • The Black-Scholes formula uses the annualised sigma. The daily sigma must be expressed in terms of annualised sigma. • Sigma annual = sigma daily X Number of trading days per year • on an average there are 250 trading days in a year. Therefore, the figure to be used = 1.92 X 250 = 30 per cent.
PROBLEM 23.14 • Assuming that the daily volatility of the Nifty is 1.75 and trading happens on 256 days in a year, compute the sigma figure used in the Black Scholes formula. SOLUTION 23.14 • The Black-Scholes formula uses the annualised sigma. • Sigma annual = sigma daily X Number of trading days per year • if there are 256 trading days in a year, the figure to be used • = 1.75 X 256 = 28 per cent
FINANCIAL END OF THE CHAPTER MANAGEMENT