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ments is, however, an important consideration in the measurement of after-tax performance, which is covered in 6 For each subsequent period, the ending market value for the previous period is used as the starting market value for the next period The justi cation for this practice is that we assume that the investment cycle begins afresh with each valuation period, and it is the current market value at the beginning of the period that is put at risk in the next period Our return calculation makes no reference to gains realized on security sales during the period In fact the fund beginning and ending market values include both unrealized and realized gains and losses generated by trading within the fund during the measurement period.

orientation feedback. This model is a complex mesh with self-occlusions and concavities without texture. The picture shows how the robot is able to maintain and recover its home position after perturbation. Next we consider a nal application of this scheme, involving three cameras for tracking the full articulated model of a human hand. In this setup, three cameras are located as shown in Fig. 7.23, and calibrated with respect to a common world frame. The hand model is a three-dimensional skeleton, with 26 dof and 16 links (Fig. 7.24). The shape of each link is built from a simple model with seven structural parameters given by the overall length, the two

Consider a fund with this record of activity: December 31, 2000 Owns 100 shares Stock A priced at $1 per share = $100 MVB January 31, 2001 Stock A is worth $110 for a (10/100 = 10%) return in January February 28, 2001 Stock A is worth $115 for a (5/110 = 455%) return in February March 1, 2001 50 shares of Stock A are sold for $115 per share, a net amount of $5750 The realized gain on the sale is $750 ($5750 $50 = $750) 10 Shares of Stock B at $575 a share are purchased with the proceeds March 31, 2001 Stock A is worth (50 shares $1 = $50) Stock B is worth (10 shares $5 = $50) The total fund is worth $100, for a ( 15/115 = 1304%) loss in March Exhibit 2.

We call the group of funds used for performance comparison a performance universe. A universe is a list of portfolios similar to ours and includes their returns and other statistics over different time periods. We can create our own universe, or we can obtain precompiled performance data from universe publishers. There are separate universes available for funds marketed to institutional and retail investors. Publishers of retail fund universe data include Morningstar, Lipper, and Micropal. We can use their data to compare mutual funds. Pension consultants, custodians, and publishers maintain institutional fund universes. Some publishers of institutional fund universe databases include Russell-Mellon, Wilshire (TUCS), and the WM Company. In addition to the published universes, pension consultants, fund companies, and other organizations maintain inhouse universes for research and competitor analysis. While each performance universe has its own distinguishing characteristics, the methodology used to create and rank funds within them are largely the same. The main task of a universe publisher is to periodically

2 shows that we do not explicitly use the realized gain of $750 in the return calculation for March The realized gain on the sale of Stock A was committed to the purchase of Stock B, which was then valued at the end of the period The point of this example is that even though we explicitly calculate the unrealized market value change during period, this market value change implicitly includes any realized gains/losses on securities sold during the period It is possible that the manager would take the sale proceeds and not turn them over into a new investment In this case, we still do not include the realized gain explicitly in the return calculation Instead, we include the cash received on the sale in the total fund market value calculation..

=INT(YEARFRAC(TODAY(),A1,1))

A Pelton turbine (PT) is a turbine of free ow (action). The potential energy of the water becomes kinetic energy through injectors and control of the needles that

L = P(Z blobs | s ) P( Z obj MLE | s )

/********************************************************************************** calcLookBackPutFixedStrike : This function computes the value of a oating lookback put [in] double price : asset price double strike : strike price double barrier : barrier price double rate : risk-free interest rate double div : dividend yield double vol : volatility double T : time to maturity int N : number of time steps char exercise : A merican or E uropean [out] double : value of up and out put **********************************************************************************/

Determining U ( i ) and ( i )

(8.59)