Over the past year $($from one year ago to today$),$ the inflation rate was $3\mathrm{.}00\%$ the risk$-$free rate was $4\mathrm{.}70\%$ and the real rate of return for a bond was $13\mathrm{.}62\%.$ The bond is currently priced at $$920\mathrm{.}00$ pays annual coupons of $$125\mathrm{.}00$ and just made a coupon payment. What was the price of the bond one year ago?

$$919\mathrm{.}73($plus or minus $$1\mathrm{.}00)$

$$970\mathrm{.}29($plus or minus $$1\mathrm{.}00)$

$$883\mathrm{.}20($plus or minus $$1\mathrm{.}00)$

$$892\mathrm{.}94($plus or minus $$1\mathrm{.}00)$

None of the above is within $$1\mathrm{.}00$ of the correct answer