Question

Difficulty: EasyGovernment, Municipal, and Corporate Bonds

An investor purchases a corporate bond with a par value of 1,000anda61,000 and a 6% annual coupon rate. If the bond is currently trading in the secondary market for 800, what is the bond's current yield expressed as a percentage?

Answer: 7.5 %

Answer

7.5%
Current yield is calculated by taking the bond's annual dollar interest payment and dividing it by its current market price. With a 6% coupon rate on a 1,000parvalue,theannualinterestpaymentis1,000 par value, the annual interest payment is 60. Dividing 60bythemarketpriceof60 by the market price of 800 gives a current yield of 7.5%.

Step-by-Step Solution

1
Calculate the annual dollar interest paid by the bond.
$60 annual interest
Multiply the $1,000 par value by the 6% coupon rate.
2
Divide the annual dollar interest by the bond's current market price.
60/60 / 800 = 0.075
Current yield measures the annual income generated relative to the current purchasing cost.
3
Convert the decimal to a percentage.
7.5%
Yields are standardly stated in percentage terms.

Key Concept

Bond Current Yield
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