Question

You have the following information regarding a bond that pays semi-annual coupon payments: Time to maturity is 12 years Coupon Rate is 6% The current price (PV) of the bond is $1,189.14 today. Compute the I/T Periodic rate on the bond that is required by the market. State as a percent without using the percent sign and round to the second decimal place. Hence, 23.628% would be written as 23.63 for the response to be correct.

Answer 1

Answer: 2%

Step-by-step explanation:

As the coupon payments are semi-annual, you need to convert the other measures to semi-annual measures as well.

Coupon rate = 6%/2 = 3% per semi annum

Coupon payment = 3% * 1,000 which is par value = $30

Time to maturity = 12 * 2 = 24 semi annual periods

Price is still the same = $1,189.14

You can use an Excel worksheet to solve for the Yield:

Number of periods = 24

Payment = $30

PV = 1,189.14

FV is par value of $1,000

Periodic rate is 0.019999

= 2%