Profit Adjusted Premiums - PI Transfers Risks to Insurer B or NHI

$B$'s new probability, $\Phi_{B}$(0.765076), of a PLRE less than 0.765076 (PLR + 1 * 0.015076) is 0.8413, $PI$'s probability of profits of at least 5%. $B$ can exceed $PI$'s probability of earning 5% profits on its portfolio, if $PI$ pays $B$ 81.51% (100% * (0.765076 + 0.05000)) of its Earned Premiums. $PI$'s profits are guaranteed at 3.49%. $\Phi_{NHI}$(0.752844), $NHI$'s probability of a PLRE less than 0.752844 (PLR + 1 * $\sigma_{e_{309,000,000}}$), is 0.8413, so $NHI$ can exceed $PI$'s probability of earning 5% profits on its portfolio, if $PI$ pays $NHI$ 80.28% (0.752844 + 0.05000) of its Earned Premiums. $PI$'s profits are guaranteed at 4.72%.