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​(Related to Checkpoint​ 9.2)  ​(Yield to​ maturity)  Abner​ Corporation's bonds mature in 24 years and pay...

​(Related to Checkpoint​ 9.2)  ​(Yield to​ maturity)  Abner​ Corporation's bonds mature in 24 years and pay 14 percent interest annually. If you purchase the bonds for ​$1 comma 125​, what is your yield to​ maturity? Your yield to maturity on the Abner bonds is nothing​%. ​(Round to two decimal​ places.)

Solutions

Expert Solution

The Yield to maturity of (YTM) of the Bond

  • The Yield to maturity of (YTM) of the Bond is the discount rate at which the Bond’s price equals to the present value of the coupon payments plus the present value of the Face Value/Par Value
  • The Yield to maturity of (YTM) of the Bond is the estimated annual rate of return expected by the bondholders for the bond assuming that the they hold the Bonds until it’s maturity period/date.
  • The Yield to maturity of (YTM) of the Bond is calculated using financial calculator as follows (Normally, the YTM is calculated either using EXCEL Functions or by using Financial Calculator)

Variables

Financial Calculator Keys

Figure

Par Value/Face Value of the Bond [$1,000]

FV

1,000

Coupon Amount [$1,000 x 14.00%]

PMT

140

Market Interest Rate or Yield to maturity on the Bond

1/Y

?

Maturity Period/Time to Maturity [24 Years]

N

24

Bond Price [-$1,125]

PV

-1,125

We need to set the above figures into the financial calculator to find out the Yield to Maturity of the Bond. After entering the above keys in the financial calculator, we get the annual yield to maturity (YTM) on the bond = 12.36%.

“Hence, the Yield to maturity of (YTM) of the Bond will be 12.36%”


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