Country : Australia
Assignment Task - 

Question 1

Suppose that the current price of wheat is $5 per bale. The forward price, for purchase of wheat in three months’ time, is $5.80 per bale. Storage costs for wheat are $0.50 per bale for 3 months payable after 3 months. Assume j12 = 12% p.a. and the forward contract is on 1,000 bales of wheat.

By using two carefully labelled cash flow diagrams in your answer setting out the cash flows associated with the forward contract and the replicating portfolio, explain how you can determine the fair forward price for this forward contract. Base your answer on the arbitrage pricing principle, and give your answer in dollars rounded to six decimal places.

 

List and explain all the steps that a person needs to take in order to make an arbitrage profit from buying or selling such a forward contract on 1,000 bales of wheat, including any associated borrowing or lending. Make sure you outline all that needs to happen on all relevant dates, as well as today. Calculate the arbitrage profit and give your answer in dollars rounded to three decimal places.

Question2

 6 month European call option on a share in ABC Ltd has an exercise price of $20. The current share price for ABC Ltd is $18.50. After 6 months, the share price will either rise to $22 or fall to $14. Assume that j1 = 5% p.a.

Consider a strategy today where you buy h shares of ABC Ltd and borrow B dollars. Showing your working, find the values of h and B that will replicate the payoff from the 6 month European call option on ABC Ltd shares described above regardless of whether the share price rises or falls. Express has a fraction and quote B rounded to 5 decimal places. Illustrate this model in a carefully labelled contingent cash flow diagram.

Using your result from part (a), calculate the no-arbitrage option price. Give your answer in dollars rounded to two decimal places.

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  • Posted on : November 03rd, 2018
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