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A cattle farmer expects to have 120,000 lbs live cattle to sell in 3 months. Chicago Mercantile Exchange live-cattle futures with a three-month expiration exist for delivery of 40,000 lbs of cattle. How should this farmer hedge?
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- Consider a farmer who plans to sell 6,000 bushels of corns on date T. The date-T spot price of corn is normally distributed with mean $500 per bushel and standard deviation $50 per bushel. To hedge the price risk, the farmer considers shorting corn futures with delivery on date T. The futures price is $480 per bushel, and one contract is to deliver 5,000 bushels. In addition, the farmer can take only integer number of contracts (i.e, a fraction of contract such as 0.1 is NOT allowed). (a) How may contracts does the farmer need to take? (b) What is the mean of the total revenue? (c) What is the standard deviation of the total revenue?Suppose a farmer is expecting that her crop of oranges will be ready for harvest and sale as 150,000 pounds of orange juice in 3 months time. Suppose each orange juice futures contract is for 15,000 pounds of orange juice, and the current futures price is F0 = 118.65 cents-per-pound. Assuming that the farmer has enough cash liquidity to fund any margin calls, what is the risk-free price that she can guarantee herself?An Indian exporter has entered into a sale transaction of pulses for $20,000 for which the payment will be given after two months. If the exporter expects the USD price to fall within two months, calculate his profit if he hedges the risk through forex option as under: USD/INR spot buying rate is 82.50 USD/INR Future 2 months 84.00 Spot rate afterwo months is 83.00
- A rice importer is going to sell rice in one year. In order to lock in a fixed selling price, the importer buys a put option and sells a call option on each ton of rice, each with the same strike price and the same one-year expiration date. The current price of rice is 360 per ton, and the net premium that the importer pays now to lock in the future price is 12 per ton. The continuously compounded risk-free interest rate is 6%. Calculate the fixed selling price per ton of rice one year from now.Farmer Brown grows Number 1 red corn and would like to hedge the value of the coming harvest. However, the futures contract is traded on the Number 2 yellow grade of corn. Suppose that yellow corn typically sells for 90% of the price of red corn. If he grows 100,000 bushels, and each futures contract calls for delivery of 5,000 bushels, how many contracts should Farmer Brown buy or sell to hedge his position?Given the following information, what would you expect to be the minimum price at which a 3 month futures contract for 100 bushels of wheat would be trading? The spot price of wheat is $8 per bushel. Storage and insurance costs for wheat are $.50 per 100 bushels, per month, payable at the end of the storage period. • You can borrow money at 8% per year. a) $865.50 b) $814.50 c) $816.50 d) $817.5
- Minetech Resources Berhad anticipates the need to purchase 80,000 bushels of soybeans in six months to use in their products. The current cash price for soybeans is RM5.50 a bushel. A six-month futures contract for soybeans can be purchased at RM5.53. Show all your working steps. i)Explain why Minetech Resources Berhad might need to purchase futures contracts to hedge their position. ii)To completely hedge their exposure, how many contracts will they need to purchase? Soybeans trade in 5,000-bushel contracts. iii)If the cash price of soybeans ends up at RM5.75 per bushel after six months, by how much will the actual cost of 80,000 bushels of soybeans have gone up? iv)After the futures contracts are closed outsold at RM5.75, what will be the gain on the futures contracts? v)Considering the answers to parts (iii) and (iv), what is their net position?The standard deviation of monthly changes in the spot price of live cattle is (in cents per pound) 1.5. The standard deviation of monthly changes in the futures price of live cattle for the closest contract is 2. The correlation between the futures price changes and the spot price changes is 0.5. It is now October 15. A beef producer is committed to purchasing 500000 pounds of live cattle on November 15. The producer wants to use the December live-cattle futures contracts to hedge its risk. Each contract is for the delivery of 40000 pounds of cattle. What strategy should the beef producer follow?Suppose that standard deviation of monthly changes in spot prices of live cattle is 1.2 cents per pound of live cattle, and the standard deviation of monthly changes in futures prices or the closing contracts is 1.4 cents per pound of live cattle. The coefficient of correlation between the two changes is 0.8. If a food processing company wants to hedge 500,000 pounds of live cattle and the size of the relevant futures contract on live cattle is 45,000 pounds then (1) What strategy should a beef producer (user of live cattle) follow? What does it mean? (2) What is the optimal number of futures contract with no tailing of the hedge? (3) What is the optimal number of future contract with tailing of the hedge?
- as a soybean buyer, you are concerned about soy prices. Currently, they are at $60 per bushel .Therefore, you enter into the appropriate futures contract at the current spot price. What is your profit or loss, if six months later, soybean is selling at the spot market for 51 bushell? why?please help with this question 10. A soybean farmer plans to sell a portion of their crop in October. To set up a short hedge, the farmer purchases a put option with a strike price of 750/bu. at a premium of 30/bushel. In October, the soybean cash price is 640/bu. and November soybean futures are trading at 655/bu. Fill in the table given here to describe the actions this farmer will take in the cash & futures exchange to hedge, the gain/loss the manufacturer will experience in these markets, and the net price that the manufacturer will receive for soybeans. Futures & Options Markets Purchase a put option Time Period Spot Market June No action Strike Price = 750/bu. Premium 30/bu. October Gain/Loss Net PriceA grain farmer has 200,000 bushels of corn in storage as of November 1st. For various reasons this grain farmer does not wish to sell until next spring. This farmer is also concerned about the price of grain dropping between now and next spring. The basis next spring is estimated to be $.40 under. On November 1st May futures are $4.25. 1. What is the estimated price if this person hedges? 2. If this person hedges would they buy or sell contracts? 3. How many contracts would be needed to hedge the entire crop? Assume on November 1st this farmer hedges the entire crop using May futures. Next spring the CBOT contracts are offset at $4.05 and the actual corn is sold for $3.65 per bushel at the local elevator. 4 What was the actual outcome? s. What would the outcome have been without the hedge?