$.[$Yield To Maturity and Real Interest Rate$]$ Suppose a project costs $$1000$ to invest and generates a cash

flow of $$400$ in the first year, $$400$ in the second year, $$200$ in the third year and $$300$ in the fourth year.

$($c$)$ Suppose the expected inflation rate is $2\%$ for the first year, $3\%$ for the second year, $1\%$ for the third year

and $3\%$ for the fourth year. What is the real interest rate implied by this project?