$234$ Suppose you bought a bond with an annual coupon of $6$ percent one year ago for $$1,010.$ The bond sells for $$1,025$ today. a$.$ Assuming a $$1,000$ face value, what was your total dollar return on this investment over the past year? b$.$ What was your total nominal rate of return on this investment over the past year? c$.$ If the inflation rate last year was $3$ percent, what was your total real rate of return on this investment? Input area: $56$ Coupon rate $7$ Initial price $8$ Ending price $9$ Par value $10$ Inflation rate $1112($Use cells A$6$ to B$10$ from the given information to complete this question.$)1314$ Output area: $1516171819$ Real return Coupon paid Dollar return Nominal return $6\%$ $$1,010$ $$1,025$ $$1,0003\%$