Show me the steps to solve Assume that the probability that the Kansas City Chiefs wins the Superbowl is $50\%.$ A souvenir shop outside the stadium will earn net profits of $$1\mathrm{.}5$ million if the Chiefs win and $$1\mathrm{.}0$ million if they lose. You are the loan officer of the bank to whom the shop applied for a loan. You can assume that your bank is risk neutral and that the bank can invest in safe projects that offer an expected rate of $10\%.$

$7.$ What interest rate would you quote if the owner asked you for a loan of $$1,000,000$ today $($show all your work$)?$