Question

In: Finance

Suppose that you know today that you will be purchasing a pen of segregate early weaned...

Suppose that you know today that you will be purchasing a pen of segregate early weaned pigs a few months from now and that you will need 10,000 bushels of corn for feeding purposes. Additionally, you know that given the current corn cash price of $2.35/bu., you have the potential to feed-out these pigs for a profit. However, you are concerned that the corn price may move against you before you purchase the hogs. You purchase a $2.55/bu. call option for $0.30/bu. and expect the basis to be $0.05 under. When you are ready to purchase the hogs and corn to make feed, the cash and futures prices have increased to $3.00/bu. and $3.05/bu., respectively. Assuming zero time value and that the broker charges a commission of $50 per option traded, answer the questions below.

  1. What are you trying to protect against?
  2. What do you call the price of $2.55/bu. of a call option?
  3. What do you call the price of $0.30/bu.
  4. Is your call option in-the-money/at-the-money/out-of-the-money after the price changes, and why?
  5. What is the number of option contracts needed to fully protect the purchase of 10,000 bushels?
  6. What is the total amount that you have to pay to purchase the necessary call options?
  7. What is the basis equal to after the price changes?
  8. Compute the target price.
  9. Compute the gain/loss per bu. you have earned on options in terms of the premium as a result of price change.
  10. Compute the effective buying price (EBP), and by comparing it to your target price comment on whether it was a good deal.
  11. Compute the overall gain/loss as a result of dealing with the options.
  12. Are you better/worse off as a result of dealing with options as opposed to not dealing with options at all, and why?
  13. Give an example of a futures price that would render your call option out-of-the-money.

Solutions

Expert Solution

  1. What are you trying to protect against? - Protection against inflation i.e price increase
  2. What do you call the price of $2.55/bu. of a call option? - Strike price/exercise price
  3. What do you call the price of $0.30/bu. - Option premium
  4. Is your call option in-the-money/at-the-money/out-of-the-money after the price changes, and why? - In the money. Strike price is 2.55 and current market price is 3. So effectively profit of 0.5 (Excluding premium)
  5. What is the number of option contracts needed to fully protect the purchase of 10,000 bushels? - 10,000 contract (Lot size is not mentioned, so assumed 1)
  6. What is the total amount that you have to pay to purchase the necessary call options? - $3,000
  7. What is the basis equal to after the price changes? 0.05 (3.05 - 3 - Futures price - spot price)
  8. Compute the target price.
  9. Compute the gain/loss per bu. you have earned on options in terms of the premium as a result of price change
    Rate Amount
    Bushels 10000
    Strike price 2.55 25500
    Spot price 3 30000
    Premium paid 0.3 4500
    Commission 50
    Net profit 1450
  10. Compute the effective buying price (EBP), and by comparing it to your target price comment on whether it was a good deal. - Strike price 2.55 + Premium 0.3 + Commissions ($50/10000) 0.005 = 2.855
  11. Compute the overall gain/loss as a result of dealing with the options.
    Rate Amount
    Bushels 10000
    Strike price 2.55 25500
    Spot price 3 30000
    Premium paid 0.3 4500
    Commission 50
    Net profit 1450
  12. Are you better/worse off as a result of dealing with options as opposed to not dealing with options at all, and why? Better, you made a profit of 1450.
  13. Give an example of a futures price that would render your call option out-of-the-money - $2.55 or less than that

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