A price level adjusted mortgage $($PLAM$)$ is made with the following terms:

Amount $=$ $$95,000$

Initial interest rate $=4$ percent

Term $=30$ years

Points $=6$ percent

Payments to be reset at the beginning of each year.

Assuming inflation is expected to increase at the rate of $6$ percent per year for the next five years:

Required: Calculate the yield to the lender.