A $6-$year annual coupon bond has a yield to maturity of $6\%,$ coupon rate of $5\%.$ The face value of the bond is $$1,000.$

$(10$ pts$)$ What is the price of the bond? Is it premium bond or discount bond?

$(10$ pts$)$ Suppose one year later immediately after you receive the first coupon payment, the yield to maturity changes to $7\%.$ What would be your holding period return if you decide to sell the bond at the market price then?

$(15$ pts$)$ Repeat part a and b for a $10-$year bond. Everything else remains the same, except the change in the term of the bond from $6$ year to $10$ year.

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