Suppose you hold LLL employee stock options representing options to buy $13,000$ shares of LLL stock. LLL accountants estimated the value of these options using the Black$-$Scholes$-$Merton formula and the following assumptions:S $=$ current stock price $=$ $$29$K $=$ option strike price $=$ $$30$r $=$ risk$-$free interest rate $=0\mathrm{.}055=$ stock volatility $=0\mathrm{.}23$T $=$ time to expiration $=3\mathrm{.}5$ yearsYou wish to hedge your position by buying put options with three$-$month expirations and a $$27\mathrm{.}50$ strike price. How many put option contracts are required? $($Note that such a trade may not be permitted by the covenants of many ESO plans. Even if the trade were permitted, it could be considered unethical.$)$Note: Do not round intermediate calculations. Round your answer to the nearest whole number.