Explanation
The current yield of a bond is the annual interest payment divided by the current market price of the bond. The annual interest payment is the coupon rate multiplied by the par value of the bond. In this case, the annual interest payment is:
6.75%×10,000=675
The current market price of the bond is $9,200. Therefore, the current yield is:
9200675×100%=7.34%
The current yield is higher than the coupon rate because the bond is selling at a discount, meaning that its market price is lower than its par value. This implies that the bond is offering a higher return than the prevailing market interest rate. However, the current yield does not take into account the capital gain or loss that will occur when the bond matures or is sold. A more accurate measure of the bond's return is the yield to maturity (YTM), which is the annualized rate of return that accounts for both the interest payments and the price change of the bond over its remaining term.
References:
Canadian Investment Funds Course (CIFC) Study Guide, Chapter 5: Fixed-Income Securities, Section
5.2: Bond Pricing and Yield, page 5-61
Current Yield Definition - Investopedia2