1. **State the problem:** We need to find the current yield of Well Foods bonds.
2. **Given data:**
- Face value $F = 1000$
- Coupon rate $c = 9\% = 0.09$
- Yield to maturity (YTM) = 8\% (not directly needed for current yield)
- Time to maturity = 5 years (not needed for current yield)
3. **Formula for current yield:**
$$\text{Current Yield} = \frac{\text{Annual Coupon Payment}}{\text{Current Market Price}}$$
4. **Calculate annual coupon payment:**
$$\text{Annual Coupon Payment} = c \times F = 0.09 \times 1000 = 90$$
5. **Calculate current market price:**
Since the bond's yield to maturity is 8\%, which is less than the coupon rate, the bond price will be above face value. However, for current yield, we need the current price.
Price $P$ can be approximated by the present value of coupons and face value discounted at YTM:
$$P = \sum_{t=1}^5 \frac{90}{(1+0.08)^t} + \frac{1000}{(1+0.08)^5}$$
Calculate each term:
$$\frac{90}{1.08} = 83.33$$
$$\frac{90}{1.08^2} = 77.16$$
$$\frac{90}{1.08^3} = 71.44$$
$$\frac{90}{1.08^4} = 66.15$$
$$\frac{90}{1.08^5} = 61.25$$
Sum of coupons present value:
$$83.33 + 77.16 + 71.44 + 66.15 + 61.25 = 359.33$$
Present value of face value:
$$\frac{1000}{1.08^5} = 680.58$$
Total price:
$$P = 359.33 + 680.58 = 1039.91$$
6. **Calculate current yield:**
$$\text{Current Yield} = \frac{90}{1039.91} = 0.0865 = 8.65\%$$
**Final answer:** The current yield of the bond is approximately **8.65\%**.
Current Yield E9A23D
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