Suppose you bought a bond with an annual coupon rate of $8\mathrm{.}4$ percent one year ago for $$907.$ The bond sells for $$946$ today.

a$.$ Assuming a $$1,000$ face value, what was your total dollar return on this investment over the past year?

Note: 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?

Note: 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 $4\mathrm{.}4$ percent, what was your total real rate of return on this investment?

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

$\backslash$table$[[$a$.$ Total dollar return,,$],[$b$.$ Total nominal rate of return,,$\%$