Consider the following term structure of spot $($nominal$)$ interest rates:

Suppose that the real interest rate is expected to remain at $2\%$ p$.$a$.,$ semi$-$annual compounding

forever. What are inflation rates that you expect over the next six months $($i$.$e$.,$ month $1$ to

month $6)$ and the following six months $($i$.$e$.,$ month $7$ to month$12)?$