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XYZ mines copper, with fixed costs of $0.50/lb and variable cost of $0.40/lb. Wirco produces wire. It buys copper and manufactures wire. One pound of
- XYZ mines copper, with fixed costs of $0.50/lb and variable cost of $0.40/lb. Wirco produces wire. It buys copper and manufactures wire. One pound of copper can be used to produce one unit of wire, which sells for the price of copper plus $5. Fixed cost per unit is $3 and non-copper variable cost is $1.50. Telco installs telecommunications equipment and uses copper wire from Wirco as an input. For planning purposes, Telco assigns a fixed revenue of $6.20 for each unit of wire it uses. The 1-year forward price of copper is $1/lb. The 1-year continuously compounded interest rate is 6%. One-year option prices for copper are shown in the Table below:
Strike | Call | Put |
0.9500 | $0.0649 | $0.0178 |
0.9750 | 0.0500 | 0.0265 |
1.0000 | 0.0376 | 0.0376 |
1.0250 | 0.0274 | 0.0509 |
1.0340 | 0.0243 | 0.0563 |
1.0500 | 0.0194 | 0.0665 |
- Suppose that Wirco does nothing to manage the risk of copper price changes. What is its profit 1 year from now, per pound of copper?
- Suppose that Wirco buys copper forward at $1. What it is profit 1 year from now?
- What happens to the variability of Wircos profit if Wirco undertakes any strategy (buying calls, selling puts) to lock in the price of copper next year?
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