FIN4610 Group 9 (1)

Stock Y is currently selling for $35. You believe that, one year from now, Stock Y will sell for either $65 (up-state) or $25 (down-state). The yield on a 1-year risk-free zero coupon bond is currently 2.5%. You have a European call option with a 1-year expiration date and an exercise price of $40. If you where to create a strategy that replicates this option, how many shares would you need to buy (shortsell if negative)? In other words, what is the call option delta?

This example is part of "Hedged Portfolios" to minimize risk. Assume you have $7000 to invest; A stock is trading at $100.00. A call option that expires in one year with a strike price of $100.00 is trading at $8.00.   How much is your portfolio's 1-year return if you invest in "Only Options" and the stock price after one year is $54.00? Enter your answer in the following format: + or - 0.1234 Hint: The Answer is between -0.89 and -1.08

You have two options to invest $1000 in: A $1050 face value bond with coupon rate c = i) ii) = 6%. A stock portfolio that you aim to resell at $1100 after receiving a dividend of $50. Then answer the following: a) Which of the two options makes you the highest rate of return? b) Is there any reason why would you want to choose the other?

The current price of a stock is $20. In 1 year, the price will be either $28 or $15. The annual risk-free rate is 7%. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below. Find the price of a call option on the stock that has a strike price is of $25 and that expires in 1 year. (Hint: Use daily compounding.) Assume 365-day year. Do not round intermediate calculations. Round your answer to the nearest cent.

This example is part of "Hedged Portfolios" to minimize risk. Assume you have $9000 to invest; A stock is trading at $90.00. A call option that expires in one year with a strike price of $90.00 is trading at $10.00.   What is your portfolio's 1-year return if you invest in "Only Stocks" and the the stock price after one year is $48.00? Enter your answer in the following format: + or - 0.1234 Hint: Answer is between -0.4212 and -0.5042   ___________? ANSWER IN TYPING

Suppose that the current price of Roblox Corporation common stock is (RBLX) is $100. If the price of RBLX will be either $150 or $50 one year from now, what is the price of a call option with a strike price of $120 expiring one year from now? Assume that the current risk free rate is 1%. What is the risk neutral probability of the stock being $150 one year from now?

You now face the choice of investing it in a U.S. Treasury bond that will return $633,000 at the end of a year or a common stock that has a 50-50 chance of being worthless or worth $1,380,000 at the end of the year. The expected rate of return on the T-bond investment is 5.5%. What is the expected rate of return on the stock investment? Round your answer to the nearest whole number.

The price of Bobco stock is currently $60. In one year, the price will either be s66 or $54. If the one-year risk free rate of interest is 6%, what is the price of a Bobco call option with an exercise price of $61? Recall, you will want to set 66N - 1.06B = 5 as one of the equations you need to solve this problem. You will need to figure out the other equation, then use both equations to solve for N and B. Then, you will price the portfolio of N shares less the amount borrowed. Round your answer to nearest cent. $6 $60 $54

Suppose the current stock price is $50 and you believe that, one year from now, the stock will sell for either $60 (up-state) or $30 (down-state). The yield on a 1-year risk-free zero coupon bond is currently 4%. You have a European put option with a 1-year expiration date and an exercise price of $40. The call option price with the same exercise price with the same maturity date is $14.10. What would be the put option price? (SHOW YOUR WORK)

In a financial market a stock is traded with a current price of 50. Next period the price of the stock can either go up with 30 per cent or go down with 25 per cent. Risk-free debt is available with an interest rate of 8 per cent. Also traded are European options on the stock with an exercise price of 45 and a time to maturity of 1, i.e. they mature next period. Calculate the price of a call option by constructing and pricing a replicating portfolio.

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…

A stock is selling today for $110. The stock has an annual volatility of 64 percent and the annual risk-free rate is 7 percent.   c. Calculate the fair price for a 1 year European put option with an exercise price of $95. d. Calculate how much the current stock price would need to change for the purchaser of the put option to break even in one year. e. Calculate the level of volatility that would make a $95 call option sell for $30. (Use Goal Seek or Solver). f. Calculate the level of volatility that would make a $95 put option sell for $8. (Use Goal Seek or Solver).   Please show work using excel

You would like to be holding a protective put position on the stock of XYZ Co. to lock in a guaranteed minimum value of $100 at year-end. XYZ currently sells for $100. Over the next year the stock price will increase by 10% or decrease by 10%. The T-bill rate is 5%. Unfortunately, no put options are traded on XYZ Co.a. Suppose the desired put option were traded. How much would it cost to purchase?b. What would have been the cost of the protective put portfolio?c. What portfolio position in stock and T-bills will ensure you a payoff equal to the payoff that would be provided by a protective put with X = 100? Show that the payoff to this portfolio and the cost of establishing the portfolio match those of the desired protective put.

A stock has a current price of $67. An option on this stock that expires in six months has an exercise price of $65. The stock will pay a dividend of $5 in three months. Assume an annualized volatility of 30% and a continuously compounded risk - free rate of 5% per annum. Use the Black - Sholes - Merton model to price this option. 1) Suppose the option is a European put. Calculate the value of the put. 2) Suppose this option is an American call. Use Black's approximation to calculate the value of this call.

You would like to be holding a protective put position on the stock of XYZ Co. to lock in a guaranteed minimum value of $109 at year- end. XYZ currently sells for $109. Over the next year the stock price will increase by 12% or decrease by 12%. The T-bill rate is 6%. Unfortunately, no put options are traded on XYZ Co. a. Suppose the desired put option were traded. How much would it cost to purchase? (Do not round intermediate calculations and round your final answer to 2 decimal places.) Cost to purchase b. What would have been the cost of the protective put portfolio? (Do not round intermediate calculations and round your final answer to 2 decimal places.) Cost of the protective put portfolio c. What portfolio position in stock and T-bills will ensure you a payoff equal to the payoff that would be provided by a protective put with X = 109? Show that the payoff to this portfolio and the cost of establishing the portfolio match those of the desired protective put. (Do not round…

A stock is selling today for $110. The stock has an annual volatility of 64 percent and the annual risk-free rate is 7 percent. Calculate how much the current stock price would need to change for the purchaser of the put option to break even in one year. Calculate the level of volatility that would make a $95 call option sell for $30. (Use Goal Seek or Solver). Calculate the level of volatility that would make a $95 put option sell for $8. (Use Goal Seek or Solver). Please show work in excel.

I need help on this pls and as soon as possible: C. A coupon bond has a face value of $ 1,000, remaining maturity of 10 years, a 5% annuallypaid coupon, and a market interest rate of 4%.  (1) What is the current price for the above bond? (2) Even though the bonds of a corporation are less risky than equity, investors still haverisks. Please discuss potential risks that investors face.

Stock Z is currently selling for $120. You believe that, one year from now, Stock Z will sell for either $155 (up-state) or $85 (down-state). The yield on a 1-year risk-free zero coupon bond is currently 4%. You have a European put option with a 1-year expiration date and an exercise price of $115. What is this option's delta (Δ) ?

Suppose that call options on ExxonMobil stock with time to expiration 3 months and strike price $104 are selling at an implied volatility of 28%. ExxonMobil stock price is $104 per share, and the risk-free rate is 6%. a. If you believe the true volatility of the stock is 30%, would you want to buy or sell call options? Buy call options Sell call options b. Now you want to hedge your option position against changes in the stock price. How many shares of stock will you hold for each option contract purchased or sold? (Round your answer to 4 decimal places.) X Answer is complete but not entirely correct. Number of 0.5753 X shares

Suppose that one year ago, you invested in a stock market portfolio, which is currently worth £62,000. You are convinced the portfolio is well-diversified and fitted to your profile as an investor, and the beta of your portfolic is 0.9. You are planning to hold this portfolio for at least another three years. Suppose that the current level of FTSE100 is 1850, and the risk - free interest rate is 1.5% a) Iderdify any relevant risk that you may be facing in reference to your investment portfolio. b) Suppose there is a two year FTSE100 futures contract available. The futures price is 1855, and one contract is for £10 times the index: How many contracts would you need to eliminate the exposure to the market over the next two years? What position in these contracts would you take today? c) Evaluate the out comes of your hedging strategy if FTSE100 in two years'time is 1842. Comment on your results.

Consider a European call on Amazon Stock (AMZN) that expires in one period. The current stock price is $100, the strike price is $120, and the risk-free rate is 5%. Assume AMZN stock will either go up to $140 or down to $80. Construct a replicating portfolio using shares of AMZN stock and a position in a risk-free asset ... what is the value of the call option? Call Option Price = $4.84 Call Option Price = $2.95 Call Option Price = $7.93 Call Option Price = $12.04