A bond with a 6% annual coupon matures in 5 years and has a price of $961.  Compute the current yield for this bond.  Show your answer in percent to 1 decimal place (i.e. xx.y).

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter6: Fixed-income Securities: Characteristics And Valuation
Section: Chapter Questions
Problem 8P
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A bond with a 6% annual coupon matures in 5 years and has a price of $961.  Compute the current yield for this bond.  Show your answer in percent to 1 decimal place (i.e. xx.y).

Expert Solution
Step 1 : calculation of coupon payment

Given data:

annual coupon rate = 6%

years to maturity = 5

price of bond = $961

face value of bond = $1000

 

Generally, face value of bond is considered as $1000 or multiple of $100. Therefore we took $1000 as face value of bond eventhough it is not given in the problem.

 

To calculate the current yield of bond we need annual coupon payment and current price of bond.

In this step we will calculate annual coupon payment and in the next step we will calculate current yield on the bond.

we have formula for annual coupon payment.

Annual coupon payment = annual coupon rate * face value

                                          = 6% * $1000

                                          = 0.06 * $1000

                                          = $60.

 

Therefore, the annual coupon payment is $60

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