Consider a 3-year bond with a 6% coupon rate andSemi-annual (i.e., 2 x per year) couponsA face value of $1000 A yield of 5.5% Calculate its price

To calculate the price of the bond, we need to calculate the present value of the coupon payments and the present value of the face value.

Step 1: Calculate the semi-annual coupon payment The bond pays 6% per year, but since it pays semi-annually, we divide the annual coupon rate by 2. Coupon payment = (6%/2) * $1000 =$30

Step 2: Calculate the semi-annual yield Similarly, the yield is also divided by 2 since it's semi-annual. Yield = 5.5%/2 = 2.75%

Step 3: Calculate the present value of the coupon payments The bond pays $30 every six months for 3 years, which is 6 periods. We discount these payments back to the present using the semi-annual yield. PV of coupons =$30/(1+2.75%) + $30/(1+2.75$30/(1+2.75%)^3 + $30/(1+2.75$30/(1+2.75%)^5 + $30/(1+2.75%)^6

Step 4: Calculate the present value of the face value The bond will pay $1000 at the end of 3 years, which is 6 periods from now. We discount this back to the present using the semi-annual yield. PV of face value =$1000/(1+2.75%)^6

Step 5: Add the present value of the coupon payments and the face value to get the price of the bond. Price of bond = PV of coupons + PV of face value

By calculating the above, you will get the price of the bond.