Calculate the price of a coupon-paying bond that pays coupons at a rate of 12% p.a. given a required rate of return of 10% p.a. and a time to maturity of 2 years.

To calculate the price of a coupon-paying bond, we need to calculate the present value of the bond's future cash flows.

The bond pays coupons at a rate of 12% p.a., which means it pays 12% of its face value as a coupon payment each year. Since the time to maturity is 2 years, the bond will pay two coupon payments.

The required rate of return is 10% p.a., which represents the discount rate we will use to calculate the present value of the bond's cash flows.

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 payment at maturity.

Let's assume the face value of the bond is $1,000.

Step 1: Calculate the coupon payment Coupon payment = 12% of face value = 0.12 * $1,000 =$120

Step 2: Calculate the present value of the coupon payments Present value of coupon payments = (Coupon payment / (1 + discount rate)^time to maturity) + (Coupon payment / (1 + discount rate)^(time to maturity - 1)) Present value of coupon payments = ($120 / (1 + 0.10)^2) + ($120 / (1 + 0.10)^(2 - 1)) Present value of coupon payments = $98.18 +$109.09 = $207.27

Step 3: Calculate the present value of the face value payment at maturity Face value payment = face value = $1,000 Present value of face value payment = Face value / (1 + discount rate)^time to maturity Present value of face value payment =$1,000 / (1 + 0.10)^2 = $826.45

Step 4: Calculate the price of the bond Price of the bond = Present value of coupon payments + Present value of face value payment Price of the bond = $207.27 +$826.45 = $1,033.72

Therefore, the price of the coupon-paying bond is $1,033.72.