Cheryl Levin is the chief executive officer of Mountainbrook Trading Company. The board of directors has just granted Cheryl 10,000 at-the-money European call options on the company's stock, which is currently trading at $125 per share. The stock pays no dividends. The options will expire in five years and the standard deviation of the returns on the stock is 56 percent. Treasury bills that mature in five years currently yield a continuously compounded interest rate of 5 percent. Use the Black-Scholes model to calculate the value of the stock options. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Value of option grant
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- Rebecca is interested in purchasing a European call on a hot new stock, Up, Inc. The call has a strike price of $96.00 and expires in 85 days. The current price of Up stock is $115.05, and the stock has a standard deviation of 44% per year. The risk-free interest rate is 6.54% per year. Up stock pays no dividends. Use a 365-day year. a. Using the Black-Scholes formula, compute the price of the call. b. Use put-call parity to compute the price of the put with the same strike and expiration date. (Note: Make sure to round all intermediate calculations to at least five decimal places.)You are the junior financial manager at Caribbean Capital Market Limited and you have beenasked to provide the calculations for the following scenarios to assist a client: Fourth Generation Corporation issued a bond 2 years ago which had a maturity at thattime of 15 years. Coupon payments are made semi-annually with an annual interest rateof 6%. If the face value of the bond is $1,000 calculate the value of the bond today whichhas a required rate of return of 7.5%.The common shares of Twitter, Incorporated (TWTR) recently traded on the NYSE for $75 per share. You have employee stock options to purchase 1,000 TWTR shares for $80 per share. The options expire in three years. Assume that the annualized volatility of TWTR stock is 65 percent and that the Interest rate is 3 percent (Assume the options are European options that may only be exercised at the maturity date.) a. Is this option a call or a put? O Call O Put b. Using an option pricing calculator such as the one at erleri.com/blackscholes, estimate the value of your TWTR options. Note: Round your Intermediate calculations to 2 decimal places and final answer to nearest whole dollar. Value of your TWTR options c. What is the estimated value of the options if their maturity is six months Instead of three years? Note: Round your Intermediate calculations to 2 decimal places and final answer to nearest whole dollar. Value of the options d. What is the estimated value of the options if their…
- You have negotiated a $500.000 Convertible Debt loan from an Angel group. It is convertible into stock when you raise your next equity round, and will convert at a price which is a 25% discount to the next round's premoney valuation. It has a Cap ot $7mm on the Conversion Valuation. A year later, you raise your first equity round at a premoney valuation of Samm. What premoney valuation of your company is used to calculate the conversion of the Angels' loan into equity? O 57.5mm Ct365mm O S7mm O $8.5mm O SómmA trader has purchased 200 shares of a stock at £100 per share on margin. The terms of the loan obtained from the trader's broker are as follows. The initial margin is 50%, the interest rate on the loan is 8%, and the trader has agreed to maintain a margin of 20%. How low the price can drop in a year before the trader receives a margin call? FJaison Ltd issues $10 million in 5-year debentures that pay interest every 6 months at a coupon rate of 10% per annum. The required market rate of return is 12% per annum. What is the issue price of the debentures (rounded to the nearest dollar)? Please provide all the calculations and do not just write the final answer. Also provide the journal entries for recording the debentures at the issue price.
- Your company has an obligation to pay $100,000,000 to a partner in 5 years. You decide to invest in an immunized bond portfolio to assure that you will have at least that much in five years. There are two bonds available to you. The first bond has a 5-year maturity and pays 10% coupon once a year and has $1,000 par value. The second bond will mature in 10 years, also pays 10% coupon once each year and has $1,000 a. Design the immunization strategy to satisfy your need. Show exactly how much you will invest and in which bond (or bonds). b. Show what will happen to the terminal value of your investment if immediately after you form your immunized portfolio interest rate jumps to 11% and remains at that rate for 5 years? c. Show what will happen to the terminal value of your investment if immediately after you form your immunized portfolio interest rate declines to 9% and remains at that rate for 5 years? Give typing answer with explanation and conclusionWilliams Industries has decided to borrow money by issuing perpetual bonds with a coupon rate of 6.5%, payable annually, and a par value of $1,000. The 1-year interest rate is 6.5%. Next year, there is a 35% probability that interest rates will increase to 8% and a 65% probability that they will fall to 5%. If the bonds are callable one year from today at $1,080, what will the market value of these bonds be?The common shares of Twitter, Incorporated (TWTR) recently traded on the NYSE for $89 per share. You have employee stock options to purchase 1,000 TWTR shares for $94 per share. The options expire in three years. Assume that the annualized volatility of TWTR stock is 79 percent and that the interest rate is 2.2 percent. (Assume the options are European options that may only be exercised at the maturity date.) Is this option a call or a put? multiple