1. **State the problem:** Calculate the current market price of a bond with 10 years to maturity, annual interest payments, a par value of 1000, a coupon rate of 8%, and a yield to maturity (YTM) of 9%. 2. **Formula used:** The price of a bond is the present value of its future coupon payments plus the present value of the par value at maturity: $$\text{Price} = \sum_{t=1}^{n} \frac{C}{(1 + r)^t} + \frac{F}{(1 + r)^n}$$ where: - $C$ = annual coupon payment = $\text{Coupon Rate} \times \text{Par Value} = 0.08 \times 1000 = 80$ - $r$ = yield to maturity per period = 0.09 - $n$ = number of years to maturity = 10 - $F$ = par value = 1000 3. **Calculate the present value of coupon payments:** The coupon payments form an annuity: $$PV_{coupons} = C \times \frac{1 - (1 + r)^{-n}}{r} = 80 \times \frac{1 - (1 + 0.09)^{-10}}{0.09}$$ Calculate: $$1 + 0.09 = 1.09$$ $$1.09^{-10} = \frac{1}{1.09^{10}} \approx 0.42241$$ So: $$PV_{coupons} = 80 \times \frac{1 - 0.42241}{0.09} = 80 \times \frac{0.57759}{0.09} = 80 \times 6.4177 = 513.42$$ 4. **Calculate the present value of the par value:** $$PV_{par} = \frac{1000}{(1 + 0.09)^{10}} = \frac{1000}{1.09^{10}} = 1000 \times 0.42241 = 422.41$$ 5. **Calculate the bond price:** $$\text{Price} = PV_{coupons} + PV_{par} = 513.42 + 422.41 = 935.83$$ **Final answer:** The bond's current market price is approximately $935.83.