The Urban Development Corporation of Trinidad and Tobago $($UDECOTT$)$ issued a $15-$year $6\%$ $$500$ million bond on March $1,2016.$ The bond pays interest semi$-$annually.

$3.$ Based on the results at the time of issue, the bonds were issued at a yield $($YTM$)$ of $8\%.$ How much would an investor have paid for $$1,000$ face value of the bond?

$4.$ Assuming that on June $1,2018(2$ years after issue$),$ the bond sold for $$1,075,$ compute the iyeld to maturity $($YTM$).$

$5.$ Compute the bond$$s current yield based on the selling price of $$1,075.$