Problem $13-62($LO $13-2)($Static$)$

Nitai $($age $40)$ contributes $10$ percent of his $$100,000$ annual salary to a Roth $401($k$)$ account sponsored by his employer, AY Incorporated. AY Incorporated matches employee contributions dollar$-$for$-$dollar up to $10$ percent of the employee's salary. However, AY matches by contributing to the employee's traditional $401(k)$ account because the employer contributions are not fully vested to the employee at the time of the contribution. Nital expects to earn a $7$ percent before$-$tax rate of return.

Required:

Assume he leaves the contributions in the Roth $401(k)$ and traditional $401(k)$ accounts until he retires in $25$ years and that he makes no additional contributions to either account. What are Nitai's after$-$tax proceeds from the Roth $401(k)$ and traditional $401$ k