Quantitative Finance Stack Exchange is a question and answer site for finance professionals and academics. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I need to model the market value of CDS in a portfolio. My current approach is to calculate the present value of the future spread payments - does anybody have a better idea to solve the problem?

Edit: I calculated the spread in the following way (as in Hull-White):

$PV_{surv} = \sum_{i=1}^T {(1−p_d )^i \cdot e^{-y\cdot i }}; $

$PV_{def}=\sum_{i=1}^{t}{p_d \cdot (1-p_d)^{i-1} \cdot (1-R)}$


2nd edit: I found the following statement: http://www.yieldcurve.com/Mktresearch/files/Abukar_Dissertation_Sep05.pdf "the market value of a cds is the difference between the two legs", leading to:

$MV_{CDS} = s\cdot PV_{surv} - PV_{def}$

share|improve this question

I'm not expert. However, it seems clear that you're generating an upper bound on the seller value. You have to model the risk of default, as well as any convenantal terms for structured default, to generate an expected payout rate, and deduct that from the DCFs, to get a more realistic value. If the terms include a swap put model that separately. To set a bid, you need to model counter-party and (ideally) liquidity risk as well. You might want to read the standard: http://www.cdsmodel.com/

share|improve this answer
Thanks for the reply. I thought I allready dealt with the default risk in the calculation of the spread (see edit above). – Owe Jessen Jul 13 '11 at 8:26
up vote 1 down vote accepted

A simpler solution I found is to discount the differences between current spread and original spread:

$MV_{CDS}=T \cdot (s_0 - s_t )\cdot \sum_{i=1}^{T}{e^{-r\cdot i }}$

share|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.