Question $2$

Prices of zero$-$coupon securities with face values of $$1000$ are as follow:

$$970\mathrm{.}87(1-$year maturity$),$

$$938\mathrm{.}95(2-$year maturity$),$

$$904\mathrm{.}56(3-$year maturity$)$

Suppose you observe that a three$-$year security with an annual coupon rate of $10\%$ and a face value of $$1000$ has a price today of $$1183\mathrm{.}50.$

Is there an arbitrage opportunity?

If so$,$ show specifically how you would take advantage of this opportunity. If not, why not?