The relationship between DF and r for non-continuous compounding is:
Where n is the compounding and T is in years. E.g. n=2 for semi-annual and r is always reported as annualised. There is a small error in your formula as you have DF^(-nt) instead of DF^(1/nt).
Typically DFs are derived...
Reporting portfolio std. dev. in absolute terms is unusual, definitely. I've never really seen this with any regularity except when reporting Value-At-Risk. Even then I wouldn't say it's the "standard" approach. I'd be interested in hearing the experiences of others as well though.
Looks to me like he's giving the portfolio std. dev. in absolute terms (e.g. $mil). If you take the portfolio std. dev. in percent, which is 1.4981% then multiply by 12 (since there is $12million in total) you get $0.1798m.
The article's use of "yield" confused me as well. I agree with @David Harper CFA FRM's analysis but I think it's also important to remember that zero rate curves are derived from prices in the market. In order to do this you must be assuming a compounding frequency in order to derive the...
Just in case anybody wants a practical example, PCA on yield curve changes is quite common. In well-behaved, liquid markets the first three components are usually described as Shift (approx. parallel change), Twist (approx. steepness) and Butterfly (approx. curvature). Thus you can model the...
@surojitpalb
Not sure I fully understand your question. The second bond has 1 year to maturity and pays semi-annual, so there is an additional cash flow in 6 months time (t=0.5) which needs to be taken into account. If you use the formula from the d(0.5) calculation, where Bond 1 does not have a...
In the case where there is overlap, I would suggest just memorizing one set of equations. I tend to find there is one set I prefer/find easier to remember and I just stick with that one. In the end, if you understand the concepts that the equations relate to they are much easier to remember...
The first equation is giving you the probability of default in year 2. The second is giving you the probability of default in year 2 conditional on there being no default in year 1.
Imagine you are given a two year period and told there is a certain probability of default during this time. The...
I tend to think of Key Rate exposures in terms of Key Rate Durations. The principle is similar to that of Modified Duration except that the instead of moving the yield to obtain the price change you move a particular tenor point on the curve instead. It is quite common to bucket KRDs together to...
In my practical experience, idiosyncratic risk tends to take on a very specific meaning. In the context of a risk model it is the portion of the total risk for each issuer/entity that is not explained by the factors in the model i.e. is specific to that issuer/entity. Business risk is the risk...
I have both the IMC and the FRM.
I would say that IMC is a very nice introductory qualification. It introduces some basic maths and mathematical concepts and would be a good place to start if you're a bit rusty. The volume of material is also much less than the FRM or the CFA so you can judge...
Procedure is the same but the discount factors are calculated using:
Then you just need to solve for the value of the coupon rate which brings the price = 100. You can do this very easily by setting up a spreadsheet to price the bond and then using the Excel solver to solve for the coupon rate.
Pretty sure that being a bonds and derivatives trader itself means you're managing/assessing risk (at least I hope it does!) and hence also qualifies as relevant experience. Although as you say, only 2 months.
From your description I would say that your 2 years will be counted as long as you...
I assume you mean the CAPM rather than CAMP!
The term one or single factor model is a generic term where there is (as the name suggests) only 1 determining factor in the model. The CAPM is just a specific example of a single factor model.
I always prefer to think of these formulas in terms of growth factors. What we need to work out is the growth factor between T+1.5y and T+2y which we can then convert into the corresponding rate.
GFs (discrete) are defined as follows:
where n is the compounding frequency (in this case 2 for...
This site uses cookies to help personalise content, tailor your experience and to keep you logged in if you register.
By continuing to use this site, you are consenting to our use of cookies.