Suppose that JPMorgan Chase sells call options on $$1\mathrm{.}10$ million worth of a stock portfolio with beta $=1\mathrm{.}45.$ The option delta is $0\mathrm{.}52.$ It wishes to hedge its resultant exposure to a market advance by buying a market$-$index portfolio. Suppose it use market index puts to hedge its exposure. The index at current prices represents $$2,000$ worth of stock and the contract multiplier is $200.$a$.$ How many dollars worth of the market$-$index portfolio should it purchase?b$.$ What is the delta of a put option? $($Round your answer to $2$ decimal places. Negative amount should be indicated by a minus sign.$)$