guaranteeing a minimum value for a fund using European options. You have at-the-money call and put options on the index available, priced at 170.68 and 153.21 respectively. The index stands at 600 and the one-year risk free interest rate is 3%. Construct a put-protected investment that guarantees a sum of £900,000 on expiry of options with a maturity of one year.

guaranteeing a minimum value for a fund using European options. You have at-the-money call and put options on the index available, priced at 170.68 and 153.21 respectively. The index stands at 600 and the one-year risk free interest rate is 3%. Construct a put-protected investment that guarantees a sum of £900,000 on expiry of options with a maturity of one year.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Consider an American Put option with time to expiry of 5 months and a strike price of 82. The current price of the underlying stock is 80. Divide the time to expiry into five 1-month intervals. In each interval, the stock price can either rise by 6, or fall by 6, with unknown probability. The risk-free rate is 4.2% per annum, continuously compounded. Use Binomial Model. What is the value of the option. Please provide necessary calculations.
Consider a two year put options with strike Price sh. 52 on a stick whose current price is sh.50. suppose there is 2 times steps and each step is one year and in each times steps the price move up or down by 20%. Suppose the risk Free rate is 5% . Calculate value of put assuming; A) Europeans options B) American options
1
Basic information of an American put option: Remaining maturity: two month; risk-free rate: 5% (continuously compounded); the underlying current Price: 50; Annual Volatility: 20%; Final Price: 50. Try to construct a two-phase binary tree to price it
7) Consider a European call option on a -dividend-paying stock where the stock price is $40, the strıke price is $40, the risk-free rate is 4% per annum, the volatility is 30% per annum, and the time to maturity is six months. A dividend of $1 is expected in 3 months' time a. Calculate u, d̟ and p for a two-step tree b. Value the option using a two-step tree. c. Value the option with 5 time steps using DerivaGem software.
The current stock price of MRF is ₹ 81000. A European call option on the stock with exercise price of ₹ 75000 will expire in 40days. The annual continuously compounded risk-free interest rate is 10%, standard deviation of the continuously compounded rate of return is 60% p.a. Calculate the value of the Call option. Find the value of the Put option using Put-Call Parity Rule.
A European put option written on a non- dividend paying stock that is currently worth ₺100 in the stock market has a strike price of ₺100 and exactly five months left until its expiration date. If the continuously compounded annual risk-free rate is observed as 20% per year across all maturities and the put option is currently priced at ₺3.20 in the option market, what should be the theoretical price of a European call option written on the same stock that has the same strike price and expiration date as the put option described?
Construct a hedge portfolio and by using the binomial option pricing model and find the values of Pu and Pd; and P. Explain the answer and describe the hedge portfolio. A stock currently priced at $100. One period later it can go up to $125, an increase of 25 percent, or down to $80, a decrease of 20 percent. Assume a put option is available with an exercise price of $100. Consider the example in a two-period world. The risk-free rate is 7 percent. The inputs are summarized as follows S = 100 d = 0.80 u = 1.25 X= 100 r = 0.07
(B). An investor must choose between two options. The first option (A) offers AED 10m for AED 2m a year for 5 years. The second option (B) offers AED 11m of AED 1m a year for four years and AED 7m in year 5. (a). Compare the present value of each option by assuming a range of the required rate of return of the investor, say 8%, 9%, 10%, 11%, and 12%. What is your advice?
You use a forward binominal tree to price options on a futures contract. You are given: i) The period is 1 year ii) The volatility of the futures price is 30% iii) The initial futures price is 100 iv) The continuously compounded risk-free rate is 3% Calculate the price of a one-year 110-strike European call option on the futures contract. A. 8.68 B 9.13 C 10.32 D 11.54 E 12.06
The price of a European CALL option is $8.00 and a European PUT is $10.00. The expiration date is 1 year and has an exercise price k=$60.00, the share price of the underlying asset is quoted today at $60.00. The risk-free rate is 10% per year. Propose a strategy that generates arbitrage and a profit.

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