a$.$ IMB Bank offers a personal loan that will require you to pay $22\mathrm{.}45\%$ per annum, compounded quarterly. What is the effective annual rate charged by the bank? $($round the final outcome to $2$ decimal places$)$

B$.$Penelope wishes to leave a provision in his will that $$26,000$ will be paid annually in perpetuity to Save the Children. How much must she provide in her will for this perpetuity if the interest rate is $4\mathrm{.}88\%$ per annum? $($round to $2$ decimal places$)$ Show workings

C$.$Using the Bond theorem, explain how the interest rate rise contributed to the Silicon Valley Bank $($SVB$)$ collapse in $2023.$