You purchase a bond with an invoice price of $$1,170.$ The bond has a coupon rate of $8\mathrm{.}2$ percent, and there are $2$ months to the next semiannual coupon date. What is the clean price of the bond? Assume a par value of $$1,000.$

Multiple Choice

$$1,115\mathrm{.}43$

$$1,153\mathrm{.}67$

$$1,136\mathrm{.}33$

$$1,122\mathrm{.}67$

$$1,142\mathrm{.}67$