A portfolio manager buys a $10$ year corporate bond that trades at a $150$bps spread over same maturity treasury. The treasury yields $5\%,$ and Libor is $4\mathrm{.}6\%.$

A $10$ year Libor$-$based swap spread is $100$bps$.$ If the manager enters into a swap to pay fixed and receive floating, what spread over Libor is realized?

Group of answer choices

$20$ bps

$40$ bps

$50$ bps

$70$ bps