Par bond and Par yield: Difference between pages

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imported>Doug Williamson
(Link with Converting from zero coupon rates page.)
 
imported>Doug Williamson
(Colour change of example headers)
 
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A bond redeemable at par which is currently trading at a market price equal to its par value.
Today’s market yield on a coupon paying bond trading at par and redeemable at par
= the fixed coupon rate payable on such a ‘par bond’.
 
 
<span style="color:#4B0082">'''Example'''</span>
 
The par yield for the maturity 0-3 periods is 1.90% per period.
 
This means that a deposit of £1,000,000 at Time 0 periods on these terms would return:
 
*Interest at a rate of 1.90% per period on the original £1,000,000, at Times 1, 2 and 3 periods, and
*The principal of £1,000,000 at Time 3 periods
 
 
The interest payments will be £1,000,000 x 0.019 = £19,000 per period
 
The total repaid at Time 3 periods will be: principal £1,000,000 + £19,000 interest = £1,019,000.
 
 
An application of par yields is the pricing of new coupon paying bonds.
 
 
The par yield is known as the Par rate, Swap rate or Swap yield.
 
 
'''Conversion'''
 
If we know the par yield, we can calculate both the [[zero coupon yield]] and the [[forward yield]] for the same maturities and risk class.


The current market yield on the par bond is therefore equal to its coupon rate.




== See also ==
== See also ==
* [[Bond]]
* [[Bond]]
* [[Coupon rate]]
* [[Bootstrap]]
* [[Coupon bond]]
* [[Forward yield]]
* [[Market yield]]
* [[Par]]
* [[Par]]
* [[Converting from zero coupon rates]]
* [[Swap spread]]
* [[Yield curve]]
* [[Zero coupon yield]]
* [[Flat yield curve]]
* [[Rising yield curve]]
* [[Falling yield curve]]
* [[Positive yield curve]]
* [[Negative yield curve]]

Revision as of 15:28, 13 November 2015

Today’s market yield on a coupon paying bond trading at par and redeemable at par

= the fixed coupon rate payable on such a ‘par bond’.


Example

The par yield for the maturity 0-3 periods is 1.90% per period.

This means that a deposit of £1,000,000 at Time 0 periods on these terms would return:

  • Interest at a rate of 1.90% per period on the original £1,000,000, at Times 1, 2 and 3 periods, and
  • The principal of £1,000,000 at Time 3 periods


The interest payments will be £1,000,000 x 0.019 = £19,000 per period

The total repaid at Time 3 periods will be: principal £1,000,000 + £19,000 interest = £1,019,000.


An application of par yields is the pricing of new coupon paying bonds.


The par yield is known as the Par rate, Swap rate or Swap yield.


Conversion

If we know the par yield, we can calculate both the zero coupon yield and the forward yield for the same maturities and risk class.


See also