Suppose you bought a $8\mathrm{.}5\%$ coupon bond one year ago for $$880.$ The bond sells for $$840$ today.

a$.$ Assuming a $$1,000$ face value, what was your total dollar return on this investment over the past year? $($Omit $ sign in your response.$)$

Total dollar return $

b$.$ What was your total nominal rate of return on this investment over the past year? $($Round your answer to $2$ decimal places.$)$

Nominal rate of return

$\%$

c$.$ If the inflation rate last year was $4\%,$ what was your total real rate of return on this investment? $($Do not round intermediate calculations. Round the final answer to $2$ decimal places. Use the Fischer formula in your calculations.$)$

Real rate of return

$\%$