a) On the 10th of December 2020, an investor buys a call option (European) with a strike price of £30 for £3 with a maturity of three months. When will the trader exercise the option? Describe when they would lose money? b) The same investor sells a put option with a strike price of £40 for £5. What is the investor's maximum loss and maximum gain?
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- Melbourne Capital Ltd considers selling European call options on ANZ Bank Ltd for$1.50 per option. The current market price is $17.70 on 28th September 2020, theexercise price is $20, and the maturity of each call option is 6 months. Under what circumstances does the investor make a profit? Under what circumstances will the option be exercised? How many call options should the investor sell to raise a total capital of$1,260,000?Melbourne Capital Ltd considers selling European call options on ANZ Bank Ltd for $1.50 per option. The current market price is $17.70 on 28th September 2020, the exercise price is $20, and the maturity of each call option is 6 months. (i) Under what circumstances does the investor make a profit? (ii) Under what circumstances will the option be exercised? (iii) How many call options should the investor sell to raise a total capital of $1,260,000?Melbourne Capital Ltd considers selling European call options on ANZ Bank Ltd for $1.50 per option. The current market price is $17.70 on 28th September 2020, the exercise price is $20, and the maturity of each call option is 6 months. Under what circumstances does the investor make a profit? Under what circumstances will the option be exercised? How many call options should the investor sell to raise a total capital of $1,260,000? Company A agrees to enter into an FRA agreement with Company B in which Company A borrows $ 40,000,000 in 6-month time for a period of 9 months, and Company B invests $ 40,000,000 in 6-month time for a period of 9 months. The 6-month interest rate is 0.77% per annum and the 9-month interest rate is 0.89% per annum. What is the interest rate that both companies agreed upon? Suppose that at the expiry date of the FRA, the 6-month interest rate is 0.81% per annum and the 9-month interest rate is 0.96% per annum, calculate the…
- An investor is considering to sell European call options on XYZ Company for $1.50 per option. Curren market price is $17.70 on 6 April 2020, the exercise price is $20, and maturity of each option is 6 months. How many call options should the investor sell to raise a total capital of $1,260,000?Consider a European Call Option with a strike of 82. The current price of the underlying asset is 80, and the time to expiry is 5 months. The current market price of the option is 6.22. The risk-free rate is 4.1%. (b) You believe the true volatility is 28.4%. Is the option under-priced or overpriced? Hence what position should you take in option to make money. Explain. (Please provide Screenshots.)An investor buys a European call option at a price of 7.6 yuan. The stock price is 52 yuan and the strike price is 55 yuan. Under what circumstances will the investor make a profit ? Under what circumstances will the option be executed ? Draw a diagram of the relationship between investor profitability and stock price at maturity.
- Suppose we have both a European call option and put option with an exercise price of $53 and the underlying stock is currently priced at $50. We are to note also that both options will expiry in six months. Further, market surveys suggest that the price of the stock can either go up by 20% or decrease by 25%. The current risk-free rate of interest is 2% per annum. Required: (a) What is the expected price of the underlying asset at expiry date? (b) What is the value of the call option, using the binomial model? (c) If the put option is selling for $4.80, what should be the price of the call option to avoid arbitrage?The speculator buys one put option at a strike price of $70/barrel and expiry date October 2021 for a premium of $1.20/barrel. Consider the following expected payoff chart for buying a put option. What are the names of point A and B? What is the exact value of A? What is the exact value B?Suppose we have both a European call option and put option with an exercise price of $53 and the underlying stock is currently priced at $50. We are to note also that both options will expiry in six months. Further, market surveys suggest that the price of the stock can either go up by 20% or decrease by 25%. The current risk-free rate of interest is 2% per annum. (a) What is the expected price of the underlying asset at expiry date? (b) What is the value of the call option, using the binomial model? (c) If the put option is selling for $4.80, what should be the price of the call option to avoidarbitrage?
- 1. Consider an option on a non-dividend paying stock when the stock price is $30, the exercise price is $28, the annual interest rate is 5%, the annual volatility is 25%, and the time to maturity is 6 months. Show the details of your calculations. a) What is the price of the option if it is a European call?An investor buys a put option at a price of 24.15 dollars with an exercise price of $190.00 at what stock price will be invested break even on the purchase of the put?Suppose a one-year European put option on a stock has an exercise price of $30 and oneyear European call option on the same stock has the same exercise price of $30. The call is worth 3$ and the put is worth 2$. If the one-year interest rate is 1.5%, what is the price of the underlying stock, assuming no arbitrage opportunity?