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Please show step by step work (not in excel) What is the put option premium given the following information? What would happen to the Put

Please show step by step work (not in excel)

What is the put option premium given the following information? What would happen to the Put option premium if the risk-free rate significantly declined from its current level?

Stock price $28.00
Strike price $35.00
Volatility 50%
Dividend Yield 0.00
Time 0.50
Riskfree Rate 3.50%

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