$6.$ Suppose you need to choose whether the invest in France or the UK$.$ In the UK$,$ the interest rate is $9\%$ and the inflation rate is $4\%.$ In France, the interest rate is $8\%$ and the inflation rate is $2\%.$

a$.(2$ pt$.)$ What is the real rate of return $($in pounds$)$ of investing in the UK$?$

b$.(2$ pt$.)$ What is the real rate of return $($in euros$)$ of investing in France?

c$.(2$ pt$.)$ Assuming you are a US investor and are undertaking a carry trade, which country would you prefer to invest in$?$ Why?