On February $2,2016,$ an investor held some Province of Ontario stripped coupons in a self$-$administered RRSP at ScotiaMcLeod, an investment dealer. Each coupon represented a promise to pay $$100$ at the maturity date on February $2,2022,$ but the investor would receive nothing until then. The value of the coupon showed as $$76\mathrm{.}09$ on the investor$$s screen. This means that the investor was giving up $$76\mathrm{.}09$ on February $2,2016,$ in exchange for $$100$ to be received just less than six years later.

a$.$ Based upon the $$76\mathrm{.}09$ price, what rate was the yield on the Province of Ontario bond? $($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

Rate of return

$\%$

b$.$ Suppose that on February $2,2017,$ the security$$s price was $$82\mathrm{.}00.$ If an investor had purchased it for $$76\mathrm{.}09$ a year earlier and sold it on this day, what annual rate of return would she have earned? $($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

Annual rate of return

$\%$

c$.$ If an investor had purchased the security at the market price of $$82\mathrm{.}00$ on February $2,2017,$ and held it until it matured, what annual rate of return would she have earned? $($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

Annual rate of return