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J 9
You are working on the options trading desk of FINM Investment Bank. Three-month European call and puts on stock BUSN with strike $60 are selling for $5 and $3, respectively. BUSN is currently trading at $60 and does not pay dividends. The interest rate is 3% p.a.c.c.
Are you able to make an immediate and riskless profit without any out-of-pocket expenses? If so, show all steps and calculations for the entire duration of your strategy.
Step by step
Solved in 2 steps
- A European call that will expire in one year is currently trading for $3. Assume the risk-free rate (based on continuous compounding) is 5%, the underlying stock price is $60 and the strike price is $55. a. Is there an arbitrage opportunity? b. Describe exactly what a trader should do to take advantage of the arbitrage opportunity assuming it exists. c. Determine the present value of the profit that the trader can earn assuming you identify an arbitrage opportunity. Use at least four decimal places for those questions that require a numerical answer.You happen to be checking the newspaper and notice an arbitrage opportunity. The current stock price of Intrawest is $25 per share and the one-year risk-free interest rate is 3%. A one-year put on Intrawest with a strike price of $23 sells for $3.15, while the identical call sells for $6.13. Explain what you must do to exploit this arbitrage opportunity. (Select the best choice below.) OA. The strategy would be to sell the call option, buy the put and the stock, and borrow $22.33. The net benefit is $0.31. OB. The strategy would be to sell the call option, buy the put and the stock, and borrow $23. The net benefit is $0.31. OC. The strategy would be to sell the call option, buy the put and the stock, and borrow $22.33. The net benefit is $0.98. OD. The strategy would be to buy the call option, sell the put and the stock, and borrow $22.33. The net benefit is $0.31.Suppose you are bullish on stock SPYR. It is trading at $388.55 on September 19,2022, but you believe the price will rise in the near future. You put $20,000 towards thepurchase of 100 shares of stock SPYR and borrow the remaining cost from your broker. Yourbroker requires a maintenance margin level of 15%. What is the range of stock prices suchthat you receive a margin call? Assume the borrowing rate is zero regardless of the actualholding period. Round your answer to two decimal places. Detailed explanation using formulas, not excel. A. $221.82 or lowerB. $163.96 or lowerC. $235.29 or lowerD. $173.91 or lower
- You start trading with an account worth $250,000. You decide that the most you want to risk on any trade is 0.5% of the account value. You've been following a stock and believe the appropriate entry point is $40 per share with an 8% trailing stop. Based on this information, what is your initial trade size? $15.625 ○ $50,000 O $31,250 ○ $25,000Suppose an investor sells 100 stocks by short selling for 6 months, the stock price is 30 yuan, and the annual interest rate of 6 months is fixed at 3%. How can I use forward contracts to avoid risks? What is the execution price? Please analyze if the stock price rises to 35 yuan or falls to 25 yuan after 6 months of hedging, what are the losses of this investor?4. A stock is selling today for $100. The stock has an annual volatility of 45 percent and the annual risk-free interest rate is 12 percent. A 1 year European put option with an exercise price of $90 is available to an investor .a.Use Excel’s data table feature to construct a Two-Way Data Table to demonstrate the impact of the risk free rate of interest and the volatility on the price of this put option: i. Risk Free Rates of 5%, 7%, 9%, 12%, 15% and 18%. ii. Volatility of 35%, 45%, 55%, and 65%. b. How is the put option price impacted by varying the risk free rate of interest? c.How is the put option price impacted by varying the volatility?
- Don't provide handwritten soluton. You are bullish on Telecom stock. The current market price is $62 per share, and you have $6,200 of your own to invest. You borrow an additional $6,200 from your broker at an interest rate of 7.6% per year and invest $12,400 in the stock. b. How far does the price of Telecom stock have to fall for you to get a margin call if the maintenance margin is 30%? Assume the price fall happens immediately. (Round your answer to 2 decimal places.)Suppose the market risk premium is 6% and the risk-free interest rate is 5%. Using the data in the table, Starbucks Hershey Autodesk Beta 0.80 0.33 1.72 calculate the expected return of investing in A. Starbucks' stock (Round to two decimalplaces.). B. Hershey's stock. (Round to two decimal places.) C. Autodesk's stock (Round to two decimal places.)A stock that does not pay dividend is trading at $40. A European call option with strike price of $30 and maturing in one year is trading at $6. An American call option with strike price of $30 and maturing in one year is trading at $16. You can borrow or lend money at any time at risk-free rate of 5% per annum with continuous compounding. Devise an arbitrage strategy
- Suppose company B stock is last time traded at 68.23$, and our analysis shows that in one year from now, its price would either increase or decrease by 25%. (i.e. d=0.75, u=1.25) Assume that risk-free rate is 2.5% and the company pays no dividend in this time period. 4) What would be the payoff for a long position on European Call Option written on Company B equity, with time to maturity of 1 year, and strike price of 75$? Calculate the payoff for the up and down scenariosThe current price of XYZ stock is $50, and two-month European call options with a strike price of $51 currently sell for $10. As a financial analyst at Merrill Lynch, you are considering two trading strategies regarding stocks and options. Strategy A involves buying 100 shares and Strategy B includes buying 500 call options. Both strategies involve an investment of $5,000.a. How much is the profit (loss) for strategy A if the stock closes at $65?(sample answer: $100.25 or -$100.25) b. How much is the profit (loss) for strategy B if the stock closes at $65? (sample answer: $100.25 or -$100.25) c.How high does the stock price have to rise for strategy B to be more profitable (break-even point)? (sample answer: $100.25)Refer to the stock options on Microsoft in the Figure 2.10. Suppose you buy a November expiration call option on 100 shares with the excise price of $140. Required: a-1. If the stock price at option expiration is $144, will you exercise your call?a-2. What is the net profit/loss on your position? (Input the amount as a positive value.)a-3. What is the rate of return on your position? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) b-1. Would you exercise the call if you had bought the November call with the exercise price $135?b-2. What is the net profit/loss on your position? (Input the amount as a positive value.)b-3. What is the rate of return on your position? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)c-1. What if you had bought the November put with exercise price $140 instead? Would you exercise the put at a stock price of $140?c-2. What is the rate of return on your position? (Negative…
