Suppose you bought a bond with a coupon rate of $8\mathrm{.}4$ percent paid annually one year ago for $$960.$ The bond sells for $$960$ today.

a$.$

Assuming a $$1,000$ face value, what was your total dollar return on this investment over the past year? $($Do not round intermediate calculations and round your answer to the nearest whole number, e$.$g$.,32.)$

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 $2\mathrm{.}5$ 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$.,32\mathrm{.}16.)$