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Can someone help me with this problem? 12. Stock P has a price of $150 per...
1. The stock of RUSH Music Enterprises (RUSH) has a current spot price of 100. RUSH stock pays a quarterly dividend of 3.50. The next dividend is payable in 2 months. The continuously compounded risk free interest rate is 5%. Calculate the price of a 9 month Prepaid Forward contract on the stock of RUSH. 2. The R40 Index pays dividends at a continuous rate of 3%. The current price of the R40 Index is 1500. The continuously compounded risk...
4. The current spot price of the stock of Fly By Night Industries is 150. Fly By Night Ind. pays a quarterly dividend of 3. The next dividend will be paid in two months. The risk free interest rate compounded continuously is 5%. Calculate the forward price for a one year forward contract. 5. The one year forward price for the stock of The Moving Pictures Moving Company (Ticker Symbol YYZ) is 296.53. YYZ pays a quarterly dividend of 10...
3. A stock is expected to pay a dividend of $1.25 per share in 3 months and also in 6 months. The stock price is $46 and the risk-free rate of interest is 6.5 % per annum with continuous compounding on all maturities. An investor has taken a short position in a six-month forward contract on the stock. What is the forward price?
Exercise 3. A short forward contract on a dividend-paying stock was entered some time ago. It currently has 9 months to maturity. The stock price and the delivery price is s25 and $24 respectively. The risk-free interest rate with continuous compounding is 8% per annum. The underlying stock is expected to pay a dividend of $2 per share in 2 months and an another dividend of $2 in 6 months. (a) What is the (initial) value of this forward contract?...
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The current price of a stock is $50. The stock is expected to pay a dividend of $1 after 6 months. If the 6-month and 1 year interest rates are 5% and 5.5% per annum continuously compounded respectively, what is the 1-year forward price of the stock? A. $53.589 B. $52.564 C. $51.797 D. $50.538 E. None of the above
The current price of a continuous-dividend-paying stock is $100 per share. Its volatility is given to be 0.30 and its dividend yield is 0.03. The continuously-compounded, risk-free interest rate equals 0.06. Consider a $95-strike European put option on the above stock with three months to expiration. Using a one-period forward binomial tree, find the price of this put option. (a) $3.97 (b) $4.38 (c) $4.70 (d) $4.97 (e) None of the above.
The current price of a continuous-dividend-paying stock is $100 per share. Its volatility is given to be 0.30 and its dividend yield is 0.03. The continuously-compounded, risk-free interest rate equals 0.06. Consider a $95-strike European put option on the above stock with three months to expiration. Using a one-period forward binomial tree, find the price of this put option. (a) $3.97 (b) $4.38 (c) $4.70 (d) $4.97 (e) None of the above.
A 10-month European call option on a stock is currently selling for $5. The stock price is $64, the strike price is $60. The continuously-compounded risk-free interest rate is 5% per annum for all maturities. a) Suppose that the stock pays no dividend in the next ten months, and that the price of a 10-month European put with a strike price of $60 on the same stock is trading at $1. Is there an arbitrage opportunity? If yes, how can...
For a 3-month European put option on a stock: (1) The stock's price is 41. (ii) The strike price is 45. (iii) The annual volatility of a prepaid forward on the stock is 0.25. (iv) The stock pays a dividend of 2 at the end of one month. (v) The continuously compounded risk-free interest rate is 0.05. Determine the Black-Scholes premium for the option.
IBM stock currently sells for 49 dollars per share. Over 12 months the price will either go by 11.5 percent or down by -7.0 percent. The risk-free rate of interest is 4.5 percent continuously compounded. What is the value of a call option with strike price 51 and maturity 12 months? a. 0.12291 b. 1.9353 c. 2.1795 d. 1.3285