You invested in 1,000 shares of stock ABC. Current stock price is $35; there is no dividend; interest rate is 5%. You ar

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You invested in 1,000 shares of stock ABC. Current stock price
is $35; there is no dividend; interest rate is 5%. You are planning
to buy a house in one year, which will require a down payment of
$36,000. And you will need to sell the shares in one year and use
the proceeds as down payment. In order to be able to sell your
shares in one year for at least $36/share, you are considering use
1-year European options on 1000 shares and will choose one of the
four available options on the stock: call with strike $33; call
with strike $38; put with strike $33; and put with strike $38.
Which option and what option position would you use? Please
explain. For the option you choose, what is range of the option
premium to guarantee that you can make your down payment in one
year?