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Homework answers / question archive / The yield to maturity on a $1,000 face value bond is 3

The yield to maturity on a $1,000 face value bond is 3

Finance

The yield to maturity on a $1,000 face value bond is 3.5%. The bond pays annual coupons of $35. Is the bond trading at a premium, a discount, or par?

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Computation of Price of Bond using PV Function in Excel:

=-pv(rate,nper,pmt,fv)

Here,

PV = Price of Bond = ?

Rate = Yield to Maturity = 3.5%

Nper = Number of Years to Maturity = 1 (assumed as number of years is not given)

PMT = Annual Coupon Payment = $35

FV = Face Value = $1,000

Substituting the values in formula:

=-pv(3.5%,1,35,1000)

PV or Price of Bond = $1,000

 

As we can see that price of bond is equal to face value. So, bond is trading at par.