RIVN is considering the following change: The firm will recapitalize by setting the new D$/$V ratio to $0\mathrm{.}50($i$.$e$.$ New D$/$V $=0\mathrm{.}50).$ Cost of Debt $($RD$)$ will either increase or decrease by $1\mathrm{.}75\%,$ i$.$e$.$ New RD $=$ Old RD $+/-1\mathrm{.}75\%($you have to figure out whether the recapitalization would lead to increase vs$.$ decrease in RD$).$

A$)$ What will be RIVN Cost of Equity $($RE$)$ after recapitalization?

B$)$ What will be RIVN Cost of Debt $($RD$)$ after recapitalization?

C$)$ What will be RIVN WACC after recapitalization?

D$)$ Will the recapitalization likely result in value creation for RIVN? $($Hint: This is not a philosophical question. Your answer must be based on numbers.$)($Show work and formulas used$)$