A financial institution plans to offer a security that pays off a dollar amount equal to ST2 at time T. (a) Use risk-neutral valuation to calculate the price of the security at time tin terms of the stock price, S, at time t. (Hint: The expected value of ST2 can be calculated from the mean and variance of ST given in section 14.1.) (b) Confirm that your price satisfies the differential equation (14.16)