Question

what is the current prices of a $1,000 par bond maturing in 12 years with a coupon rate of 14%, paid semiannually, that has a ytm of 13%? round to the nearest dollar.

Answer 1

The current prices of a $1,000 par bond maturing in 12 years with a coupon rate of 14%, paid semiannually, that has a ytm of 13% is $ 130000 .

The entire return anticipated on a bond if it is kept to maturity is known as yield to maturity (YTM). Although it is expressed as an annual rate, yield to maturity is regarded as a long-term bond yield. It is, therefore, the internal rate of return (IRR) of a bond investment assuming the investor retains the bond to maturity, with all scheduled payments made and reinvested at the same pace.

Yield to maturity is comparable to current yield, which calculates how much money would be made by purchasing and keeping a bond for a year by dividing annual cash inflows from that bond by its market price. The value of a coupon paying bond is calculated by discounting the future payments (coupon and principal) by an appropriate discount rate.

The bond characteristics are summarized below:

Par Value =     $1,000

Yield        =      13% annual (13/2 =6.5% semi-annual)

Coupon   =      12% with semi-annual payment of $60

Maturity   =      1 year

The value of the bond is calculated as follows:

$1000 of 13%  = (13/1000)* 100 =130

Calculate PMT = FV*Coupon Rate

Current price = $1000*130

Price = $ 130000

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