You purchase $105$ shares of stock for $$55$ a share. The stock pays a $$5$ per share dividend at year$-$end. What is the rate of return on your investment for these end$-$of$-$year stock prices? What is your real $($inflation$-$adjusted$)$ rate of return? Assume an inflation rate of $3\%.$ a$)$ End of year stock price $52$$ b$)$ End of year stock price $55$$ c$)$ end of year stock price $60$$