A bond that pays interest semiannually has a price of $958.56 and a semiannual coupon payment of $29.50. If the par value is $1,000, what is the current yield

Respuesta :

The current Yield on the  price of $958.56 and a semiannual coupon payment of $29.50. If the par value is $1,000 is 6.16%.

What is current Yield?

Current Yield is defined as the rate of return that is yielded by a bond on its actual price, without share for the information that it will be pay off at par at maturity date.

The formula of the Current Yield is:

[tex]\text{Current Yield}= \dfrac{\text{Annual Coupon Payment}}{\text{Price Of Bond}}}[/tex]

According to the given information,

Price = $958.56

Coupon Payment = $29.50

Per Value = $1000

Current Yield = ?

Annual Coupon Payment:

[tex]\text{Annual Coupon Payment} = \text{Semi-Annual Coupon Payment} \times 2\\\\\text{Annual Coupon Payment} =\$29.50 \times 2\\\\\text{Annual Coupon Payment} = \$59[/tex]

Then apply the given values in the above formula, to get the current Yield:

[tex]\text{Current Yield}= \dfrac{\text{Annual Coupon Payment}}{\text{Price Of Bond}}\\\\\text{Current Yield}= \frac{59}{958.56}\\\\\text{Current Yield}= 0.06155\\\\[/tex]

Then the current Yield rate is:

[tex]=\dfrac{0.06155 }{14000}\\\\ =6.16\%[/tex]

To learn more about the yield, refer to:

https://brainly.com/question/2506978

#SPJ1