Several major New York banks, including Chase Manhattan and Citicorp, are expected to report to investors this week on their financial results for the fourth quarter and for all of 1987.

Analysts are waiting to see whether major banks will add to the reserves they previously set aside for losses on loans to Third World countries.

"The most significant event will be the presence or the absence of any large loan loss reserves due to LDC {less developed country} debt," said James H. Wooden, bank analyst for Shearson Lehman Bros.

Money center banks boosted their reserves for Third World loan losses in the spring and a number of regional banks did so last week.

The debt problem is expected to throw many money center and regional banks into the loss column for 1987.

Economists and stock market analysts also will be watching federal government reports due Wednesday on the consumer price index and housing starts for December.

Edward S. Hyman of C.J. Lawrence & Co. has estimated that consumer prices will rise a modest two-tenths of 1 percent compared with a rise of three-tenths of 1 percent in November, and for housing starts to move up to an estimated annual rate of 1.65 million units from 1.64 million units in November.

At a Wednesday bankruptcy hearing of critical importance to Texaco Inc., Trans World Airlines Inc. Chairman Carl C. Icahn will press his bid to strip Texaco of its takeover defenses.

Icahn wants the bankruptcy judge supervising Texaco's reorganization to allow shareholders to consider elimination of takeover defenses when they vote on the proposed $3 billion settlement of Texaco's legal dispute with Pennzoil Co. over the acquisition of Getty Oil Co.