In calculating insurance premiums, the actuarially fair insurance premium is the premium that results in a zero NPV for both the insured and the insurer. As such, the present value of the expected loss is the actuarially fair insurance premium. Suppose your company wants to insure a building worth $$245$ million. The probability of loss is $1\mathrm{.}25$ percent in one year, and the relevant discount rate is $4$ percent.

a$.$ What is the actuarially fair insurance premium? $($Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to $2$ decimal places, e$.$g$.,1,234,567\mathrm{.}89.)$

b$.$ Suppose that you can make modifications to the building that will reduce the probability of a loss to $\mathrm{.}90$ percent. How much would you be willing to pay for these modifications? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$