5. Explain and give appropriate use of the following option trading strategies along with their Payoff.: a. Spreads b. Straddles c. Strangles d. Covered Call and Protective Put. State Put-Call Parity theorem for European options. European put and call options with a strike price of Rs. 24 and expiry in 6- months are trading at Rs. 5.09 and Rs. 7.78, respectively. The current stock price is Rs. 20.37 with a risk-free interest rate continuously compounding equal to 7.48%. Is there an arbitrage opportunity? How can it be exploited?

5. Explain and give appropriate use of the following option trading strategies along with their Payoff.: a. Spreads b. Straddles c. Strangles d. Covered Call and Protective Put. State Put-Call Parity theorem for European options. European put and call options with a strike price of Rs. 24 and expiry in 6- months are trading at Rs. 5.09 and Rs. 7.78, respectively. The current stock price is Rs. 20.37 with a risk-free interest rate continuously compounding equal to 7.48%. Is there an arbitrage opportunity? How can it be exploited?

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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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…
In a financial market a stock is traded with a current price of 50. Next period the priceof the stock can either go up with 30 per cent or go down with 25 per cent. Risk-freedebt is available with an interest rate of 8 per cent. Also traded are European optionson the stock with an exercise price of 45 and a time to maturity of 1, i.e. they maturenext period.i) Find prices of Arrow-Debreu securities.
am. 114.
am. 116.
Assume that you have been given the following information on Purcell Corporation's call options: Inputs Intermediate Calculations Current stock price = $12 d1 = 0.32863 Time to maturity of option = 9 months d2 = 0.05477 Variance of stock return = 0.10 N(d1) = 0.62878 Strike price of option = $12 N(d2) = 0.52184 Risk-free rate = 7% According to the Black-Scholes option pricing model, what is the option's value? Do not round intermediate calculations. Round your answer to the nearest cent. Use only the values provided in the problem statement for your calculations. $
Reconsider the determination of the hedge ratio in the two-state model where we showed that one-third share of stock would hedge one option. The possible end-of-year stock prices, us $135 (up state) and dSo = $115 (down state). Required: = a. What would be the call option hedge ratio for each of the following exercise prices: $135, $127, $120, $115, given the possible end- of-year stock prices, us $135 (up state) and dSo $115 (down state)? = = b. What do you conclude about the hedge ratio as the option becomes progressively more in the money? × Answer is not complete. Complete this question by entering your answers in the tabs below. Required A Required B What would be the call option hedge ratio for each of the following exercise prices: $135, $127, $120, $115, given the possible end-of-year stock prices, uso = $135 (up state) and dS = $115 (down state)? Note: Round your answers to 3 decimal places. Exercise Hedge Ratio Price $ 135 0.500 127 0.500 × 120 0.500 × $ 115 0.500 ×
In a financial market a stock is traded with a current price of 50. Next period the priceof the stock can either go up with 30 per cent or go down with 25 per cent. Risk-freedebt is available with an interest rate of 8 per cent. Also traded are European optionson the stock with an exercise price of 45 and a time to maturity of 1, i.e. they maturenext period.i) Find prices of Arrow-Debreu securities.ii) Calculate the price of a call option by constructing and pricing areplicating portfolio.
2. Calculate the put premium according to put-call parity which gives no arbitrage opportunity. Explain what transaction would you do if the put premium is below/above the put premium you calculated. European call option premium: c = $2 Stock price today: So- $30 Life of option: T=0.5 Risk-free rate for maturity T with continous compounding: r= 8% Strike price: K= Decide on the K value yourself (carefully). No dividends paid during life of option.
Reconsider the determination of the hedge ratio in the two-state model where we showed that one-third share of stock would hedge one option. The possible end-of-year stock prices, uS0 = $135 (up state) and dS0 = $115 (down state). Required: What would be the call option hedge ratio for each of the following exercise prices: $135, $127, $120, $115, given the possible end-of-year stock prices, uS0 = $135 (up state) and dS0 = $115 (down state)? What do you conclude about the hedge ratio as the option becomes progressively more in the money?
A) Does this model satisfy the no-arbitrage assumption? B) Calculate the risk-neutral probabilities of up and down movements in the share price. C) Determine the no-arbitrage price of a European call option on the share with strike price K=70 and expiry time T=2.
(a) The table below gives information about European options with a maturity date of 6 months. Type Of option Strike Price Call 65 Call 58 Put 65 Premium 5 8 4 (i) Devise the payoff profile of the hedging strategy from the above for an investor betting on an increase in the stock price and calculate the payoff if the stock price increases to $66 after 6 months. (8 marks) (ii) Suppose that another investor expects a big stock price movement but is not sure of the direction. She however bets that the downward movement is more likely. Devise the corresponding trading strategy and calculate the payoff if the stock price is $55 after 6 months. (8 marks) (b) By analysing the pay off profiles of a protective put strategy and a straddle, discuss in what ways these strategies shield the investor from potential losses.
Consider the following Options Kuala Lumpur Index (OKLI) traded at BMDB: Option Type Option Price 33 20 12 18 Call Call ii. Put Put Exercise Price 750 780 Required: Illustrate graphically with relevant labels and working for following synthetic strategies: i. Long straddle Long strangle 750 780 +

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