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There is a newly issued floating, lookback, 6-month put on Twitter (non-dividend-paying) stock with a stock price of $51, volatility of 30% per annum, and

There is a newly issued floating, lookback, 6-month put on Twitter (non-dividend-paying) stock with a stock price of $51, volatility of 30% per annum, and a risk-free rate of 3%. What is the price of the lookback put and a lookback call on the same stock? (Show Work)

Stock price

$51
Volatility 30%

Risk-free rate

3%

Price of the lookback put

?

Price of the lookback call

?

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