A European call and a European put on a stock have the same strike price and time to maturity. At 10:00am on a certain day, the price of the call is $4.5 and the price of the put is $6. At 10:01am news reaches the market that has no effect on the stock price or interest rates, but increases volatilities. As a result the price of the put changes to $6.75. Which of the following is correct? Question 11Answer a. The call price increases to $5.25 b. It is possible that there is no effect on the call price c. The call price increases to $6.75 d. The call price decreases to $3.75

A share is currently priced at £50. After one time period the share price will either increase to £70 or decrease to £40. Assume the interest rate is 4% per time period. Find the no-arbitrage price of a European derivative on the share which has payoff £90 if the share price goes up and £110 if the share price goes down. State your answer to the nearest pence. Do not enter the pound sign.

(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.

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Today is January 1. The forward price for contracts maturing on April 1 is $104.4 and on October 1 is $111.6. On April 1, the price of a zero-coupon bond maturing on October 1 is $0.975. Assuming that the underlying interest rate is a continuously compounded interest rate and will not change, the amount of profit that you can make on October 1 by trading one contract each of the near and distant maturity forwards and other securities is: [round to two decimal places]

Assume that interest rate parity holds. In both the spot market and the 90-day forward market, 1 Japanese yen equals 0.0088 dollar. In Japan, 90-day risk-free securities yield 4.4%. What is the yield on 90-day risk-free securities in the United States? Do not round intermediate calculations. Round your answer to two decimal places.