Suppose you bought a bond with an annual coupon rate of $7\mathrm{.}2$ percent one year ago for

$$945.$ The bond sells for $$990$ today.

a$.$ Assuming a $$1,000$ face value, what was your total dollar return on this investment

over the past year?

b$.$ What was your total nominal rate of return on this investment over the past year? $($Do

not round intermediate calculations and enter your answer as a percent rounded to

$2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$.$ If the inflation rate last year was $3$ percent, what was your total real rate of return on

this investment? $($Do not round intermediate calculations and enter your answer as

a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$