Price ratios

Discussion in 'SP5' started by Pulit Chhajer, Mar 29, 2022.

  1. Pulit Chhajer

    Pulit Chhajer Keen member

    The core reading says as

    "These can be monitored as well as yield differences. Ideally, a switch under consideration will look attractive, in relation to both yield and price histories. A practical problem in using price ratios is that they do not allow for the fact that the two bonds may have different coupons; they will have different prices but will both be redeemed at 100. So the ratio of the two prices will display a trend. This history of price ratios may be adjusted by this trend to
    produce what are often known as ‘stabilized’ price ratios
    ."

    Yield Models
    "Rather than compare a bond’s yield with a redemption yield curve it can be compared with
    one of the alternatives such as a yield surface or par yield curve."

    Could you please elaborate this with an example and illustrate the above points ?
     
  2. David Wilmot

    David Wilmot ActEd Tutor Staff Member

    Hi Pulit,

    You asked a similar question on price ratios before, and which was answered here: https://www.acted.co.uk/forums/inde...nd-switching-identifying-cheap-or-dear.18270/

    By playing with discounted cashflow valuations of bonds with differing coupons we can see how the price ratios of fairly-priced bonds might be expected to follow a trend, rather than be stable. For example ...

    Assume there are two otherwise similar gilts, which both have just 6-months to run before being redeemed at 100, but which pay coupons in arrears of 6 and 4 each half-year respectively. That means the final payment from the bonds will be 106 and 104 respectively. Let's assume that an appropriate half-year discount rate is 1%. Then a DCF valuation 6-months prior to redemption would be 106/1.01=104.95 and 104/1.01=102.97 respectively. So, if the discount rate is constant, then the (dirty) price ratio is expected to move from 104.95/102.97 to 106/104 over a period of 6-months. Changes in the price ratio over time in line with this trend should not automatically be interpreted as an indication that the prices are anomalous. However, a change in price ratio away from this expected trend might be an indication that a price anomaly exists.

    With regard yield surfaces and the like, please refer to: https://www.acted.co.uk/forums/index.php?threads/yield-surface.17320/.

    Best wishes

    David
     

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