Mr. A established the following strategy on the stock of D Ltd. which is currently trading at 1000 per share: (1) Purchased one 3-month call option…
CA Final · Advanced Financial Management · MTP · May 2024
Mr. A established the following strategy on the stock of D Ltd. which is currently trading at 1000 per share: (1) Purchased one 3-month call option with a premium of 60at an exercise price of 1100 per share. (2) Purchased one 3-month put option with a premium of 10at an exercise price of 900 per share. Appraise the position of Mr. A if after 3-months the price of D Ltd. stock: (i) remains at 1000. (ii) falls at 700. (iii) rises to 1300. Assume the option size is 100 shares of D Ltd.
Suggested Answer and Working Notes:
Total premium paid on purchasing a Call and Put option = (60per share × 100) + (10per share × 100). = 6,000 +1000 = 7,000 (i) In this case, Mr. A exercises neither the Call option nor the Put option as both will result in a loss for him. Accordingly, the Ending value = -7,000 + zero gain = -7,000 i.e Net loss = 7000 (ii) Since the price of the stock is below the exercise price of the Call, the Call will not be exercised. Only Put is valuable and hence is exercised. Accordingly, Total Premium paid = 7,000 Ending value = − ₹ 7000 + ₹ [(900 – 700) × 100] = − ₹ 7000 +20,000 = 13,000 ... Net gain = 13,000 (iii) Since the price of stock rises above the exercise price of Put, the Put will not be exercised. Only Call is valuable and hence is exercised. Accordingly, Total Premium paid = 7,000 Ending value = −₹ 7000 + ₹ [(1300-1100) × 100] = −₹ 7000 +20000 Net gain = 13,000
Topics: Derivatives Analysis & Valuation
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