The yield of the $10-$year US Treasury bond is $1\mathrm{.}20\%.$ It is the risk$-$free rate. You work for investment manager and your boss asks you to calculate the price of a $10-$year corporate bond that yields $3\mathrm{.}00\%$ more than its risk$-$free rate and has a face value of $$1,000.$ The fixed coupon of this corporate bond is $5\mathrm{.}00\%.$ Both bonds pay coupons annually. $$ What is the current price of the corporate bond? $$ Calculate the price of the bond if its yield increased by $1\mathrm{.}00\%.$ Calculate the price of the bond if its yield decreased by $1\mathrm{.}00\%.$ Please discuss the risk associated with this change in interest rates? $$ Would you consider purchasing this bond in an inflationary environment? Why or why not?