Friday, September 28, 2012

Brainteaser: What's my 10-digit number?

I'm thinking of a 10-digit number, where each digit represents the number of that ordinal number in the whole number. So, the first digit represents the number of 0's in the whole 10 digits. The second digit represents the number of 1's in the whole 10 digits. And so on. The first digit is not a '0.' What is my number?

Answer:
- Since the first digit is not zero, there is at least one zero among the digits.
- The sum of all digits must be 10 because it is a 10-digit number.
By some trials we find that the number 6210001000 fits the bill.

Follow-up question: is it the only correct answer?

See here for more interview questions/brainteasers

Wednesday, September 5, 2012

Timeline of Events Since 2007

The following is a non-exhaustive timeline of the events of the credit crisis:

2007 Dec - Fed's Term Auction Facility commenced.

2008 Mar - ECB extended the longest tender of Long Term Refinancing Operations (LTRO) to 6 months.
2008 Mar - Bear Stearns acquired by JP Morgan.
2008 Mar - Investment banks were allowed to borrow from the Fed's discount window.

2008 Jun - Countrywide Financial acquired by Bank of America.

2008 Jul - IndyMac placed into conservatorship.

2008 Sep - AIG bailed out by NY Fed.
2008 Sep - Goldman Sachs and Morgan Stanley became bank holding companies.
2008 Sep - Goldman Sachs bailed out by US government and Berkshire.
2008 Sep - Morgan Stanley bailed out by Mitsubishi UFJ
2008 Sep - Washington Mutual put on FDIC receivership.
2008 Sep - Lehman Brothers declared bankruptcy.
2008 Sep - Merrill Lynch acquired by Bank of America.
2008 Sep - Fannie Mae and Freddie Mac placed into conservatorship.

2008 Oct - Troubled Asset Relief Program (TARP) was signed into law.
2008 Oct - Wachovia merged with Wells Fargo.

2008 Nov - Quantitative Easing (QE) began. Fed started purchasing MBS securities.
2008 Nov - Citi bailed out by US government.

2009 Jan -  Bank of England's Asset Purchase Facility (APF) began.

2009 Jun - General Motors filed for bankruptcy.

2010 Nov - QE2 began.

2011 Aug - US government downgraded by S&P.

2011 Sep - Fed announced Operation Twist.

2012 Sep - Fed announced QE3
2012 Sep - ECB announced Outright Monetary Transactions (OMT)