Showing posts with label Credit Market. Show all posts
Showing posts with label Credit Market. Show all posts

Sunday, May 11, 2008

Municipal Bond Credit Derivative Index

MarkIt MCDX (Municipal Bond Credit Derivative) Index has started trading on last Tuesday, May 6th.

MCDX, like its CDX and ABX counter parts, is an index of 50 municipal bond credit default swaps. The blog post here has a good deal of information on MCDX...

Sunday, March 2, 2008

Articles on Credit Derivatives

A few interesting readings on Credit Derivatives:

Thursday, January 24, 2008

Players in the back office of wall street

Some players I have learnt recently in the course of my work:

  • DTCC Deriv/SERV: Providing matching and settlement services for OTC derivatives, notably, credit default swaps. An interesting point is that DTCC provids the Master Confirmation Agreements on these CDS trades so that its participants can delivery trade confirmations in the "short form", and avoid signing bilateral confirmation agreements with each dealers.
  • CLS Bank: Performs settlement and netting for FX transations on a global basis, which greatly reduces counter party risks compare to the more traditional way of settling FX trades (i.e. settle each leg of the transation separately).
  • Prime Broker and Give-up Trades: When the client uses prime broker for certain FX trades, the executing broker must "give-up" trade details on these transactions to the prime broker for further process (settlement, legal confirmation, etc.)

Sunday, January 20, 2008

Model accuracy in different markets

Model accuracy in different markets from Paul's latest blog entry.

The dynamic relationship between just two equities can be beautifully complex, and certainly never to be captured by a single number, correlation.

There goes your reason why the CDO business is in deep trouble now...

Wednesday, November 14, 2007

Ducking the Subprime Hit

MI-AN891_HEARD_20071113230622

 

In today's Journal:

Asked yesterday if the firm would take the sort of significant write-down facing many of its peers, Mr. Blankfein answered with a succinct "No." Given the continued, challenging conditions in the trading of complex mortgage products, "we continue to be net shorting these markets," he told the crowd.

Friday, November 9, 2007

High Grade ABX-HE indices

According to the press release, Morgan Stanley used ABX indices as a reference point for its ABS asset valuations. Looking at the changes in high grade (AAA) ABX-HE index in the last couple days, it seems that there might be more to write down post Oct 31st.

 acde1be9823757d12d6b629d723

Makes me wonder how other "smarter" banks (read: GS and LEH) are holding up in this climate.

"Negative Convexity" at Morgan Stanley

Morgan Stanley reported a $3.7b write down on subprime related exposures. Make no mistake though, Morgan Stanley didn't bet on the wrong side of the market. It started the year with a short position in subprime, a position that earned good profit for the first nine months of 2007. Here is Colm Kelleher, Morgan Stanley CFO's explanation of what happened in the last two months:

We began with a short position in the subprime asset class, which went right through to the first quarter; as the structure of this book had big negative convexity and the markets continued to decline, our risk exposure swung from short to flat to long.

In essence, you can think of Morgan Stanley's trade as a short position in the junior tranche of ABS CDO, with an offsetting long position in the super senior tranche of the same structure.

Initially, as the delinquency ratio in subprime market on the rise, the junior tranche suffers the first loss and declines more in value than the super senior tranche. The overall trade represents a short subprime position.

In the last two months, as the subprime problem continued to worsen, the junior tranche has lost most of its value with losses now bites into the super senior tranche. Since the value of the junior tranche is floored at zero, it now declines in a much slower pace than the value of super senior tranche. As a result, the trade now becomes a long position in subprime, hence the $3.7b paper losses.

Thursday, October 25, 2007

CDO Pricing: Binomial Expansion Technique

BET is a relatively simple technique used by Moody's to price and rate CDOs.

  • First, the collateral pool is mapped to a hypothetical portfolio of N uncorrelated assets (the diversity score).
  • The default probability of assets in the hypothetical portfolio is then calculated with WARF (Weighted Average Rating Factor)
  • .
  • Since the default event of each asset is uncorrelated, the probability of J defaults in the portfolio simply follows binomial distribution: (DS: diversity score. PD: probability of default for each asset)
  • With this distribution, the expected loss (EL) for each CDO tranche can now be calculated: (Lj: loss for a given tranche with J defaults)
  • The expected loss can now be used to price or rate the CDO tranche by referencing comparable securities (i.e. with similar default probability).

The BET methodology gives a sneak preview of what's deep down in the CDO pricing rabbit hole without getting into the rocket sciences (Monte Carlo, Copula, etc). Here is a good paper that compares the BET with Monte Carlo simulations.

Thursday, September 6, 2007

Loan-only Credit Default Swaps

An LCDS works very similar to a CDS, with two major differences:

  • The reference obligation on CDS is normally senior unsecured bond. For LCDS, it's secured loan. This means the recovery rate in the event of default is much higher for LCDS than CDS.
  • In the event that the reference obligation is paid down(called), CDS will continue to exist on a different reference obligation but LCDS will cease to exist. This means in addition to the credit risk, LCDS is also exposed to prepayment risk. Hence the pricing model for LCDS should incorporate a interest rate process and a prepament model.

An introducation on LCDS.

Thursday, August 16, 2007

Bear Stearns' letter to investors

Bear Stearns' letter to investors (PDF) on "their disappeared money".

...

Fund managers and account executives have been informing the Funds’ investors of the significant deterioration in performance for May and June. The preliminary estimates show there is effectively no value left for the investors in the Enhanced Leverage Fund and very little value left for the investors in the High-Grade Fund as of June 30, 2007.

In light of these returns, we intend to seek an orderly wind-down of the Funds over time. This is a difficult development for investors in these Funds and it is certainly uncharacteristic of BSAM’s overall strong record of performance.

...

How lovely...

But you don't even know the meaning of the words "I'm sorry"...

Today's Journal has an article on how hedge funds coming up with all kinds of excuses for the market turmoil in the recent weeks in order to avoid the embarrassing "I'm sorry".

The two (mock) letters below summarized it pretty well. Read the originals here:

How to Say All Their Money is Gone

by Mr Juggles

Dear Valued Client:

As you may know, the investment process has a normal course. Generally accepted investing practices follows that you, the investor, give us, the manager, money. As manager we take that money and buy something with it. This something generates profits and at the end of the year, we pay ourselves some percentage of what we bought with your money, as well as some percentage of the generated profits. Everyone profits which is a good thing.

Unfortunately, the money you gave us did not follow this normal course. Per usual, we “invested” your money in tranches of CDOs comprised solely of loans to people who specifically would never be able to pay down their mortgage. Their inability to pay was the very thing that made these such great loans and allowed us to demonstrate to you a profitable two year record of performance. This could have continued but your money decided to disappear.

As far as we can tell, there is no current record that points to existence of your money. It’s no longer part of our assets under management. Look, it’s up to you how you raise your money and I don’t want to get into a nature vs nurture sidebar with you, our valued client. But don’t you think that maybe you should have imbued your money with more of a sense of sticktuitiveness? I mean, it literally seems to have vanished at the worst possible time, what with the depressed prices and attractive yields which now litter our market. This is when we could be printing profits for you (if only your money hadn’t disappeared).

I guess, for us, we’re disappointed in you. Your role is to let us take your money, assume none of the risk and allow us to give you some of the return. Don’t you see how this relationship breaks down if you allow your money to disappear? We’re not angry with you, just disappointed. It’s your loss, as we still earned our management fee, it just seems like a waste for you.

I have enormous confidence in Long or Short Capital management and the ability of our talented professionals to bring you the highest quality products and services now and in the future as they have in the past. You can count on us to deliver…if you don’t let your money vanish.

Sincerely,

Mister Juggles

How to Say All Their Money is Gone - Part II

by Johnny Debacle

Dear Valued Client:

Last week you received a letter from the head of Long or Short Capital Management, Mr Juggles. In this letter Mr. Juggles told you that although your money was invested wisely according to the prospectus, that money has subsequently disappeared. We wanted to write you to let you know that after further diligence this is 100% accurate. Your money is definitely, definitely gone, for sure.

The feedback we received on the previous letter has revealed that you are unhappy that your money is gone but you were especially upset with our refusal to accept responsibility for your money being gone. Well first we would like to remind all of our valued clients that you shouldn’t point fingers. This is not just your fault, it’s everyone’s fault. Even ours, just to a much lesser degree than it is yours( especially important point for you to take away). We have completed a detailed and rigorous analysis of whose fault it is and thought it was important to share the results:

The chart depicts graphically the small size of our fault. After further study it was determined that all of our market share of the fault stems from one person: Mr. Juggles. As of this morning we have resigned him. Kaiser Edamame, our Germo-Japo restructuring expert and portfolio manager of our anti-union humor portfolio, will take-over for Mr. Juggles effective immediately.

We have also implemented several restructuring measures to ensure that when your money disappears in the future, it is less our fault than it was this time. Starting on August 30th, before we invest in low-yield, illiquid securities with high default risk we promise to “think-twice”. This represents a 100% increase in the amount of thinking we have done in the past. Also, in the case of our most risky investments, before we increase our exposure to them we will now “sleep on it,” something we have not done previously. We feel confident that these measures will significantly increase your returns and hence our fees over time.

Please contact me with any questions.

Subprimely,

Johnny Debacle

EVP Long or Short Capital Managment

Thursday, July 12, 2007

Real Estate, Subprime and Credit Market

As the housing market keeps turning for the worse, the subprime sector of asset backed market has been deteriorating since the beginning of the year.

In the last couple weeks, amid the fallout of the Bear Stearns hedge funds, there have been signs that this weakness is spreading to other sectors of asset back securities and even the broad credit market.

Here are some of the relevant indices tracked by MarkIt:

Monday, June 25, 2007

How to price CDS Indices

A good introduction on how to price CDS indices (a basket of single name CDSes). And here is the link to the spread sheet.

Of course, you can always use the average of single name CDS spreads as a first order approximation, which ignores the spread convexity. The proper method, as presented in the spread sheet, is risky annuity/DV01 weighted average of these spreads.

Monday, June 4, 2007

Correlation and Copula

Correlation

People (at least myself) have loosely interpreted Correlation as the strength of predictability between two random variables. I.E. A correlation coeffecient of 0 indicates the value of Y is independent of the value of X. Turns out that's not really the case. In the following example:
XY
11
-11
00
The correlation coeffecient is 0, but the value of Y is perfectly predicatable when the value of X is known. Correlation is only an indication of the strength of a linear relationship betweem the two variables.

The same kind of simple yet common mistake as the misconception of volatility.

Copula

Dr. David Li's original paper on using Copulas to model default correlations.

Tuesday, April 24, 2007

How to price a CDS


As with any other derivative contract, the valuation of CDS is (was?) primarily based on replicate portfolio and no arbitrage argument. The picture below (from Merrill Lynch Credit Derivative Handbook 2003) depicts a portfolio that replicates a credit default swap:

  • A fix rate corporate bond is acquired by the investor. This exposes the investor to two major risks: interest rate risk and credit risk. The bond pays treasury rate plus a spread (Sc).

  • The bond purchase is repo financed. This is necessary because par CDS is unfunded transaction.

  • An interest rate swap transaction is then arranged. The investor pays fixed leg and receives LIBOR plus spread (Ss). This effectively eliminates the interest rate risk component.

  • A single counter-party would package the bond and swap into a single asset swap to minimize counter-party risk.

  • The investor is now holding only the credit risk of the bond issuer, which is the same for a CDS contract. Hence the "price" of this portfolio should be the same as a CDS with the same maturity (with adjustments on coupon interval, day count, yadayada...)
One thing to note is that this pricing framework is now mostly theoretical. With exponential growth in the credit market, CDS contracts have become more liquid than corporate bonds. CDS is considered a plain vanilla product and its spread quote is used to derive default probability and price other credit derivative products

Thursday, April 19, 2007

CME Credit Derivative Future Contracts

CME is tapping into the $30 trillion credit market with its single name and index credit default swap future contracts. Eurex is also set to launch future contract on Itraxx CDS indices. This is hardly surprising given the hyper growth in OTC credit derivative market in the last couple years (also in the news today, the overall size of credit derivative market has been growing at 100% three years in a row). It would be interesting to see the impact of exchange involvements on the overall credit market (I.E. on counter-party credit risk, liquidity, etc).

Thursday, April 12, 2007