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On March 1, the spot price of a commodity is $20 and the July futures price is $19. On June1, the spot price is $24 and the July futures price is $23.50. A company entered into a futurescontract, on March 1, to hedge the purchase of the commodity on June 1. It closed out itsposition on June 1. What is the effective price paid by the company for the commodity?

Question

On March 1, the spot price of a commodity is 20andtheJulyfuturespriceis20 and the July futures price is 19. On June1, the spot price is 24andtheJulyfuturespriceis24 and the July futures price is 23.50. A company entered into a futurescontract, on March 1, to hedge the purchase of the commodity on June 1. It closed out itsposition on June 1. What is the effective price paid by the company for the commodity?

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Solution

The company entered into a futures contract on March 1st to buy the commodity in July for 19.However,theyclosedouttheirpositiononJune1stwhentheJulyfuturespricewas19. However, they closed out their position on June 1st when the July futures price was 23.50.

The gain on the futures contract is the difference between the price at which they entered the contract and the price at which they closed out their position.

So, the gain on the futures contract is 23.50(June1stfuturesprice)23.50 (June 1st futures price) - 19 (March 1st futures price) = $4.50.

On June 1st, the spot price of the commodity is 24.But,becauseofthegainonthefuturescontract,theeffectivepricethecompanypaidforthecommodityis24. But, because of the gain on the futures contract, the effective price the company paid for the commodity is 24 (spot price) - 4.50(gainonfuturescontract)=4.50 (gain on futures contract) = 19.50.

So, the effective price paid by the company for the commodity is $19.50.

This problem has been solved

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