Assume you lend someone $$1$ million a year for the next $10$ years, and they tell you they will give you $$2$ million a year for the following $10$ years. a$)$ if the interest rate for the next $20$ years is expected to be $6\%$ should you take this deal? b$)$ the expected inflation rate is $3\%$ per year over the next $20$ years. Based on this info, show exsctly how your calculations changes and explain why?