Question

Suppose the following bond quotes for IOU Corporation appear in the financial page of today’s newspaper. Assume the bond has a face value of $2,000 and the current date is April 19, 2018. Company (Ticker) Coupon Maturity Last Price Last Yield EST Vol (000s) IOU (IOU) 6 Apr 19, 2034 111.44 ?1,851 a. What is the yield to maturity of the bond?

Answer 1

Answer:

YTM = 4%

Explanation:

Company (Ticker) Coupon  Maturity   Last Price    Last Yield      EST Vol (000s)

IOU (IOU)                6       Apr 19, 2034  111.44              ?                     1,851

Determine the yield to maturity

YTM = Rate * 2

years to maturity = 2034 - 2018 = 16 years

NPER = 2 * 16 = 32

PMT = ( face value * coupon rate ) / 2 = ( 2000 * 6% ) / 2 = 60

price of coupon ( PV ) = 2000 * 111.44% = 2228.8

Rate = 2% ( excel function : RATE(32,60,-2228.8,2000)

hence YTM = 2% * 2 = 4%