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farmer donald bought a $1.70 strike put option for $0.11 and sold a $1.75 strike call option for a premium of $0.14. his total costs are $1.65 per bushel and the continuously compounded risk-free interest rate is 7.84% over this period. what is the floor in his strategy assuming a 20,000-bushel crop? g

Respuesta :

Under the terms of the call option, the farmer has the option to sell his produce for $1.75 per bushel. By exercising the put option, the farmer has the choice to buy crops at a cost of $1.70 per bushel. The floor price for the farmer's plan, assuming a crop yield of 20,000 bushels, is $1,624 per bushel.

The options approach has an overall cost of $1.65 per bushel. The farmer paid a premium of $0.14 to sell a call option with a strike price of $1.75 and $0.11 to buy a put option with a strike price of $1.70.

If the selling price declines, you can always exercise your put option to set your floor price. Subtract the cost of your options after calculating your reward.

= (1.70 - 1.65)

= 0.05 * 20,000

= 1,000

= 1,000 - (0.11 - 0.14) * 20,000 * 1.04

= 1,000 - 624

= 1,000 + 624

= 1,624

The farmer has the opportunity to sell his produce for $1.75 per bushel under the terms of the call option. The farmer has the option to purchase crops at a price of $1.70 per bushel by exercising the put option. The floor for the farmer's plan is $1,624 per bushel, assuming a crop yield of 20,000 bushels. This is so that the farmer has the option to sell his produce for $1.75 per bushel and to purchase it for $1.70 per bushel.

If the crop's market price falls below the floor price, the farmer will only use these rights.

His plan has a $1,624 per bushel minimum.

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