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Eq. (3.3-14) shows that the time derivative of the E eld is proportional to the Curl of the H eld. This means that the new value of the E eld can be obtained from the previous value of the E eld and the difference in the old value of the H eld on either side of the E eld point in space. Equations (3.3-14) and (3.3-15) can be written in terms of the vector components as follows: @Hx 1 @Ey @Ez 0 r Hx 20:5-1 m @z @t @y @Hy 1 @Ez @Ex r0 H y 20:5-2 m @x @t @z @Hz 1 @Ex @Ey r0 Hz 20:5-3 m @y @t @x @Ex 1 @Hz @Hy sEx 20:5-4 e @y @t @z @Ey 1 @Hx @Hz sEy 20:5-5 e @z @t @x @Ez 1 @Hy @Hx sEz 20:5-6 e @x @t @y These equations are next represented in terms of nite differences, using the Yee algorithm discussed below. 20.5.1 Yee s Algorithm

0.855 0.853 0.857 0.855 0.853 0.853 0.843 0.837 0.826 0.813 0.86 0.852 0.725 0.722 0.853 0.852 0.864 0.865 0.845 0.848 0.826 0.833

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The concern, whenever feedback is given, is that care must be taken to ensure that details provided should not be misconceived or influence a participant to take actions that are inappropriate. Consistent with this, interviewers are trained to refer respondents to other agencies rather than to provide specific feedback, for example if financial questions reveal that a respondent is not claiming a benefit to which they might be entitled. In such circumstances, investigators are encouraged to give helpline numbers as appropriate. There is also a risk that some participants may be influenced by feedback that is not intended. For example: Interviews can throw a spotlight, whether healthy or unhealthy, on a participant s life. In longitudinal surveys some harm may come from being made more aware of one s own decline for example, in walking speed or in cognitive function though this effect can be minimised by the customary precaution that the assessments are carried out in private. It is also possible that feeding back study findings can encourage comparisons with others, which may show the respondent s life in an unfavourable light. However, it must be accepted that influences of this kind arise in the course of everyday life and can never be totally avoided. In very rare instances, individual data from a survey can have a more powerful influence on a respondent s life. A child, for example, who was involved in a survey but subsequently separated from her birth parents can seek information about her childhood from the survey. The ethical position is that all participants have a right to the information held about them.

The conversion premium can essentially be thought of as the value of the option to convert the bond to common stock A convertible bond manager can create three types of hedges when constructing convertible bond portfolios or individual positions: 1 Neutral hedge A neutral hedge is called a delta neutral hedge Delta is a statistical calculation that measures how the price of a convertible bond will react to changes in the price of the underlying stock 2 Bullish hedge This is a long-biased hedge that is achieved by selling short fewer shares than would be necessary to engage in a neutral hedge A bullish hedge allows the fund to take advantage of the increase in the bond s price that follows the increase in the price of the underlying stock.

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However, by doing so, the fund is exposed to more potential downside because the hedge will not fully offset any downward price moves 3 Bearish hedge This is the opposite of a bullish hedge The fund manager effectively shorts more of the common stock than is needed to be neutral A convertible hedge fund manager might enact a bearish hedge when he believes that the price of the underlying stock will decline Hedge ratios are important to get right when setting up the initial trades, but they also need to be dynamically adjusted to re ect changes in the price of the underlying nancial instruments A perfectly neutral hedge on Monday might become less perfect as prices change throughout a given week As a result, fund managers often have to sell additional shares short or cover some of the existing short positions depending on price shifts.

equivalent estimates after several waves, depending on the speed at which changes in classification occur and the length of the panel. These factors can be difficult to predict in advance, making it difficult to determine the optimum allocation to strata (categories of the classification).

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