Assure Investments has a $15 million portfolio with a beta of 0.6. The firm employs the E-mini Dow futures contract which has a price of 31,177 and one contract is on $5 times the Dow Jones Industrial Average index. How many contracts are necessary to increase the beta to 1.4 (round your answer to the nearest whole number)?
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- Optival’s stock is currently trading at $60 per share with a historical volatility of 20%. The risk-free rate is 4%. Consider a European call and put option on Optival’s stock with an exercise price of $55 that expires in 2 years. Use excel or a similar program to determine the option price using the Black-Scholes formula. (a): What is the value the European call and put option on Optival’s stock with a strike price of $60? (b): To the nearest cent, how much does the option value change for the following adjustments to the input values: ∆ in Call Value ∆ in Put Value ↑ stock price by $1 to $61 ↑ strike price by $1 to $56 ↑ the rF by 1% to 5% ↑ volatility by 1% to 21% ↑ time to maturity by 1 yr (c): Why does the value of the call increase by less than $1 when the stock price increases by $1? (d): To the nearest percent and holding all else constant, how high would the risk-free rate need to be for a 1 year increase in time to maturity to have a negative impact on the value of…The stocks of Cee Mobile Limited is currently trading at $73 each. The call option on the company's stock has an exercise price of $70, with fifty (50) days remaining to expiration. It is assumed that the yield on treasury bills is currently 2%, while the volatility of the stock price is estimated as being 35%. Required: i. Using the Black-Scholes-Merton (BSM) model, calculate the value of the Call option, given the above parameters. Show all relevant workings. ii. Of the value computed, how much is the intrinsic value and the time value of the Call option? iii. Using the BSM model and the information given above, calculate the value of the Put option on the stock, with a similar strike price and days to expiration.Kirstin Brown is a portfolio manager at Standard life plc. She wants to estimate the interest rate riskof assets of the company consisting of 1 million shares of Bond A, 2 million shares of Bond B, and 2million shares of Bond C. The duration of Bond A is 5.59, a valuation model found that if interest ratesdecline by 30 basis points, the value of Bond A will increase to 83.5 pounds, and if interest ratesincrease by 30 basis points, the value of Bond to A will decline to 80.75 pounds. The same valuationmodel also found that if interest rates decreases by 50 basis points, the value of Bond B increases to104.6 pounds, and if interest rates increases by 50 basis points, the value of Bond B decreases to 96.4pounds, and the current value of Bond B is 100 pounds. Kirstin also knows from the valuation modelthat, by using the duration and convexity rule, if interest rates decline by 1%, the price of bond Cincreases approximately by 8.46 pounds, and if interest rates increase by 3%, the price of…
- Suppose you had just gone long (purchased) on lot of Syarikat XYZ stock at a price of RM 15.00 each, for a total investment of RM 15,000. You believe this stock has long term potential but wish to protect yourself from any short-term downside movement in price. Suppose 3-month, at-the-money put options on Syarikat XYZ stocks are being quoted at RM 0.15 or 15 sen each or RM 150 per lot (RM 0.15 x 1,000). a. What would be the appropriate options strategy to hedge the long stock position? b. Show (in a table) the payoff to the combined position for a given range of stocks prices at options maturity in 3-months. c. Draw the payoff profile of combined positions.Delta hedging. You own $35,000 shares of Saturn Ltd. common stock that is currently selling for $52. A call option on Saturn with a strike price of $52 is selling at $4.30 and has a delta of 0.54. a. Determine the number of call option contracts necessary to create a delta-neutral hedge (with sign!). Number contracts. Round your answer to closest integer. b. Calculate the total change in portfolio value for a $0.31 decrease in the price of Saturn stock, keeping in mind that you can only trade option contracts, not the individual options. $ Number Round your answer to the nearest cent.Quality Investments has a $25 million portfolio with a beta of 1.4. The firm employs the E-mini Nasdaq-100 futures contract which has price of 11,866 and one contract is on $20 times the Nasdaq-100 index. How many contracts are necessary to reduce the beta to 0.8 (round your answer to the nearest whole number)?
- On July 1, an investor holds 50000 shares of a certain stock. The market price is $50 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 1500 and one contract is for delivery of $50 times the index. The beta of the stock is 1.5. What strategy should the investor follow? Under what circumstances will it be profitable?Km for the following Individual or component costs of capital) Your firm is considering a new investment proposal and would like to calculate its weighted average cost of capital. To help in this compute the cost of capital for the a. A bond that has a $1,000 par value (face value) and a contract or coupon interest rate of 11.4 percent mat is paud semiannually. The bond is currently selling for a price of $1,121 and will mature in 10 years The firm's tax rate is 34 percent b. If the firm's bonds are not frequently traded, how would you go about determining a cost of debt for this company? A new common stock issue that paid a $174 dividend last year. The par value of the stock is $15, and the firm's dividends per share have grown at a rate of 81 percent per year. This growth rate is expected to continue into the foreseeable tuture The pnce of this stock is now $27 12 d. A preferred stock paying a 10.7 percent dividend on a $126 par value The preferred shares are currently selling for…Use the binomial tree analysis to value a 6-month American put option with a $65 strike price on Crookshanks Corporation. The shares are currently trading for $60. The annualized continuously compounded risk-free rate is 3%. The volatility of the stock is 57%. You will use the Cox Ross Rubenstein method for computing the binomial tree, and use a time step of 2 months.
- You have 4 types of assets in your portfolio: Corporate bonds earn 2% return and make up 5% of your portfolio Large cap stocks earn 15% return and make up 50% of your portfolio Government bonds earn 9% return and make up 25% of your portfolio International stocks earn 7% return and make up 20% of your portfolio What is the average rate of return on your portfolio? Find the weighted average of the returns. Enter your answer as two decimal places and do not include the percent sign.You own 1,000 shares of Apple. Apple has a monthly beta of 1.28 to the S&P500 Index. The current 3-month e-mini S&P 500 Future is trading at 4,038.5; the contract unit is $50 * S&P 500 index value (so each contract is worth $50*4038.5). You have a negative view about the market and think Apple price would go down; you want to hedge that exposure. 1. How many e-mini S&P 500 Future do you need to hedge your Apple exposure? 2. Do you short/long these future contracts?It is 16th July. A company has a portfolio of stocks worth $100 million. The beta of the portiolio 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 16th July to 16th November. The index is currently 1,000, and each contract is $250 times the index. What position should the company take?