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Tesla exports cars to many countries, including China. The company expects to receive 12 million yuan () in one year from its exports. The firm

Tesla exports cars to many countries, including China. The company expects to receive 12 million yuan () in one year from its exports.

The firm expects the following exchange rate scenarios and probabilities:

Scenario Spot rate in one year Probability
A $0.174 0.2
B $0.178 0.5
C $0.182 0.3

A put option on yuan expiring in one year costs $0.0019 per yuan and has an strike price of $0.178 per yuan.

What is the expected value of the receivables in one year with the put option hedge (in $)?

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