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Sugar alcohols (isomalt, lactitol, maltitol, mannitol, sorbitol, and xylitol) are another type of sweetener. Though the term sugar alcohol is scientifically correct, these sweeteners contain neither table sugar nor ethanol (that is, the alcohol found in alcohol-containing drinks). Sugar alcohols contain calories and have the potential to make your blood glucose levels go up, but typically to a far lesser degree than a comparable amount of sucrose (table sugar).

This security clearly needed to be hedged with options. An optionbased hedge would have provided interest rate protection while controlling for changes in the dollar price of the security. Additionally, even the model that assumed a fast prepayment rate underestimated the actual negative convexity of the security. An option hedge would have been the only type of effective hedge, as any losses on the security due to an unexpected increase in volatility would have been offset by a pro t on the option hedge. As the security paid off in January 1999, this hedging strategy was the only effective one.

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Dental and medical TMD procedure codes CDT CPT D0150 D0160 D9310 D9920 D7880 D9920 D9920 D9430 D0330 D0321 D0321 D0321 D0321 D0460 D9110 D9210 D9610 D9940 D9942 70355 70328 70330 76101 76102 21110 Initial Visit Comprehensive oral evaluation (for normal TMD evaluation) Detailed and extensive oral evaluation (for complex TMD evaluation) Consultation Behavioral management, by report (for each 15-minute increment) Treatment Occlusal orthotic device, by report Behavioral management, by report (for each 15-minute increment) Follow-Up Behavioral management, by report (for each 15-minute increment) Of ce visit for observation (no other services provided) Other Codes Panoramic lm Radiological examination, TMJ, open and closed mouth, unilateral Radiological examination, TMJ, open and closed mouth, bilateral Radiological examination, TMJ tomogram, unilateral Radiological examination, TMJ tomogram, bilateral Pulp vitality tests Palliative (emergency) treatment of pain Local anesthesia not in conjunction with operative or surgical procedure Therapeutic drug injection, by report Occlusal guard, by report (for bruxism, if for TMD use D7880) Occlusal guard repair or chairside reline

Conclude that F (z) > 0 whenever z = 0, using the fact that the function n itk x x zk is analytic. k=1 e (b) Deduce that under the hypotheses in part (a), Rice formulas can be applied on any compact interval I and for any k = 1, 2, . . . . 3.5. Assume that the process {X(t) : t R} veri es the hypotheses of Exercise 3.4(a) and moreover, that its paths are C k -functions, k an integer, k 1. Then, for any choice of distinct parameter values t1 , . . . ., tn , the joint distribution of the random variables X(t1 ), . . . ., X(tn ), X (t1 ), . . . , X (tn ), . . . ., X(k) (t1 ), . . . , X(k) (tn ) does not degenerate. Hint: Use the same method as in Exercise 3.4.

31.246 32.793 34.350 35.913 37.485

We assume the short rebate (the interest received on the cash proceeds from the short sales) equals 5% This amounts to $450,000 (50% of $9 million) The interest earned on the liquidity buffer adds another $50,000 (50% of $1 million) (A lower rate would result, of course, in a lower return) Thus, at the end of the period, the $10 million initial investment has grown to $1104 million The long-short portfolio return of 104% comprises a 5% return from interest earnings and a 54% return from the equity positions, long and short The bottom half of Exhibit 32 illustrates the portfolio s performance assuming the market declines by 15% The long and short positions exhibit the same market-relative performances as above, with the longs falling by 12% and the shorts falling by 18%.

641 (118) 1096 (118) 575 (345)

In this case, the decline in the prices of the securities held long results in an ending value of $792 million, for a loss of $108 million The shares sold short, however, decline in value to $738 million, so the portfolio gains $162 million from the short positions The equity positions thus post a gain of $540,000 exactly the same as the net equity result experienced in the up-market case The interest earnings from the short rebate and the liquidity buffer are the same as when the market rose, so the overall portfolio again grows from $10 million to $1104 million, for a return of 104% (Obviously, if the shorts had fallen less than the longs, or interest rates had declined, the return would be lower.

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