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Financial Derivatives

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Submitted By agapawlik
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FIN 425 Assignment #2

1) h* = .7(1.2/1.4) = .6 optimal hedge ratio .6(200,000) = 120,000 pounds of cattle. The beef producer requires a long position in 3 contracts (120,000/40,000=3) closing out the position on November 15.

2) 1.3 ((50,000 * 30 ) / (1,500 * 50)) = 26 contracts

The investor should enter into 26 short position futures contracts. By doing so, he is hedging his risk-- if the stock price goes down, the value of his portfolio decreases, but at the same time he is making money through his short position in the futures market. If the stock price increases, the value of his portfolio (50,000 * S) would also increase, but he would be losing money through his short position in the futures market.

3)

(1.2 - 0.5) * (100 M / (1000 * 250)) = 280 contracts

The company should short 280 contracts.

b) (1.2 - 1.5) * ( 100 M / (1000 * 250)) = -120 contracts

The company should take the long position of 120 contracts, indicated by the sign change.

4) CAPM: E(Ri) = Rf + B (E(Rm) - Rf)

E(Ri) = .05 + .2 * (-.30 - .05) = -.02

The expected return on the investment is -2% while the actual return was -10%. This is worse than the expected return, -8% is the difference between the actual return and the expected return on the investment. The claim is not good because they had a worse return than expected.

5) (1 + (R/m))^m = e^(r)

(1 + R/4)^4 = e^(.12)

R = .1218

10,000 (.1218 / 4) = $304.55

On a $10,000 deposit, there will be $304.55 in interest paid each quarter.

6) 400e^((.10-.04) * (12/4)) = $408.08

The futures price ($405) is lower than the index price of $408.08. The best strategy for an arbitrageur is to buy futures and short/sell the stocks underlying the index.

7) 3 month contract: 1,200e^[(.03-.012)*(¼)] = $1,205.41 6 month contract: 1,200e^[(.035-.01)*(½)] = $1,215.09

8) If we assume that

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