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- On July 1, an investor holds 100,000 shares of a certain stock. The market price is $100 per share and the beta of the stock is 1.5. The investor would like to change the beta of the stock portfolio to 1.25 using the September S&P 500 E-Mini stock index futures contract. The futures price is 4,500 and one contract is for delivery of $50 times the index. What strategy should the investor follow?On July 1, an investor holds 50,000 shares of a certain stock. The market price is $30 per share. The investor is interested in hedging against movements in the market over the next month and decides to use the September Mini S&P 500 futures contract. The index is currently 1,500 and one contract is for delivery of $50 times the index. The beta of the stock is 1.3. What strategy should the investor follow? Under what circumstances will it be profitable?i.On April 1, an investor holds 40,000 shares of a certain stock. The market price is $28 per share. The investor is interested in completely hedging against movements in the market over the next month and decides to use the June Mini S&P 500 futures contract. The index is currently 4,500 and one contract is for delivery of $50 times the index. If the beta of the stock is 1.2, what strategy should the investor follow to completely hedge their stock portfolio? ii. After a month, the investor wishes to partially unwind their hedge to reach an overall target beta of 1. Using your answer from above, what strategy should the investor follow to reach their target? They still hold 40,000 shares and the market price is now $27.5 per share. The June Mini S&P Futures index is still at 4,500 and one contract for delivery is of $50 times the index. What will be the residual remaining position in their futures contracts?
- On July 1, an investor holds 50,000 shares of a certain stock. The market price is $30 per share. The investor is interested in hedging against movements in the market over the next month and decides to use the September Mini S&P 500 futures contract. The index is currently 1,500 and one contract is for delivery of $50 times the index. The beta of the stock is 1.3. What strategy should the investor follow to reduce beta to 0?A stock price is $30. An investor buys one call option contract on the stock with a strike price of $28 and sells a call option contract on the stock with a strike price of $27. The market prices of the options are $2 and $1.7, respectively. The options have the same maturity date. Describe the investor’s position and the possible gain/loss he will get (taking into account the initial investment). Make a graph of your gain/loss.On July 1, an investor holds 50,000 shares of a certain stock. The market price is $30 per share. The investor is interested in hedging against movements in the market over the next month and decides to use the September Mini S&P 500 futures contract. The index is currently 1,500 and one contract is for delivery of $50 times the index. The beta of the stock is 1.3. What strategy should the investor follow?
- Assume that you have shorted a call option on Intuit stock with a strike price of $40. The option will expire in exactly three months' time. a. If the stock is trading at $55 in three months, what will you owe? b. If the stock is trading at $35 in three months, what will you owe? c. Draw a payoff diagram showing the amount you owe at expiration as a function of the stock price at expiration. a. If the stock is trading at $55 in three months, what will you owe? If the stock is trading at $55 in three months, you will owe $ (Round to the nearest dollar.)3. A stock sells for $110. A call option on the stock has an exercise price of $105 and expires in 43 days. If the interest rate is 0.11 and the standard deviation of the stock’s return is 0.25. a) Calculate the call using the Black-Scholes model b) What would be the price of a put with an exercise price of $140 and the same time until expiration? c) How does an increase in the volatility and interest rate changes affect the underlying stock’s return on an option’s value? Explain.a. A futures contract on a non-dividend-paying stock index with current value $130 has a maturity of one year. If the T-bill rate is 6%, what should the futures price be? b. What should the futures price be if the maturity of the contract is 2 years? c. What if the interest rate is 9% and the maturity of the contract is 2 years? Complete this question by entering your answers in the tabs below. Required A Required B Required C A futures contract on a non-dividend-paying stock index with current value $130 has a maturity of one year. If the T-bill rate is 6%, what should the futures price be? Note: Round your answer to 2 decimal places. Futures price
- An investor owns Citibank stock at $75. They want to sell some 3-month out- of-the-money call options against their position. STRIKES 72.50 75 77.50 CALL PRICE 5.60 4.12 2.84 Create a table showing the profit and loss for underlying trading at 70, 72.5, 75, 77.5, 80 and 82.5 for all the positions and the option strategy. Draw an expiry pay-off diagram, using the prices in the table.Suppose that a trader writes three naked put option contracts, with each contract being on 100 shares of underlying stock. The option price is $3 on each share, the time to maturity is six months, and the strike price is $60. a. Write out the formula and draw the graph for the trader's profit on each put option on 1 share of stock. b. What is the margin requirement for the trader if the current stock price is $58? C. How would the answer to (b) change if the trader is buying instead of writing the options?It is July 16. A company has a portfolio of stocks worth $100 million. The beta of theportfolio is 1.2. The company would like to use the December futures contract on a stock index to change the beta of the portfolio to 0.5 during the period July 16 to November 16. Theindex futures price is currently 2,000 and each contract is on $250 times the index. (a) Whatposition should the company take? (b) Suppose that the company changes its mind anddecides to increase the beta of the portfolio from 1.2 to 1.5. What position in futurescontracts should it take?