A bond has $5$ years to maturity, a coupon rate of $10\%,$ and a par value of $$1,000,$ and the market rate for similar bonds is $12\%($yield to maturity $=12\%).$ Assume annual compounding. a$.$ What is the current price of the bond? b$.$ What is the current yield? c$.$ What is capital gain? d$.$ What will be the price of the bond when it has $4$ years to maturity? e$.$ What is the percentage increase in price during the first year? Is it the same as you found in part c$?$