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示例:
Prove that for any integer n ≥1, among any n^2 + 1 pairwise distinct real numbers, there exists a monotone subsequence (increasing or decreasing) of length at least n + 1.
Find all positive integers n such that n divides 2^n + 1.
An analyst's firm holds a small proprietary position in BetaTech, a company the analyst covers, disclosed at the end of the report; the recommendation is based on an independently verified DCF model. Which standard is most directly addressed by the firm's disclosure? A. Suitability; B. Fair Dealing; C. Conflicts of Interest; D. Priority of Transactions [NL] 2) A portfolio manager tests whether a strategy's average monthly excess return is greater than zero using 60 months of data; the sample mean is 0.45% and the sample standard deviation is 1.8%, assuming normality at the 5% significance level. Which conclusion is most appropriate? A. Reject H0; the mean is greater than zero; B. Fail to reject H0; insufficient evidence that the mean is greater than zero; C. Reject H0; the mean is less than zero; D. Fail to reject H0; the mean equals zero [NL] 3) A company uses FIFO during a period of rising input prices. Compared with LIFO, which is most likely higher under FIFO? A. Cost of goods sold and inventory turnover; B. Ending inventory and current ratio; C. Cost of goods sold and gross margin; D. Tax expense and inventory turnover
某公司初始投资100万元,预计未来5年每年现金流入分别为30万、35万、40万、45万、50万元,折现率为10%,计算该项目的净现值(NPV)
A portfolio manager analyzes a 5-year corporate bond (Par: $1,000, Coupon: 6%, YTM: 5%, Modified Duration: 4.35, Convexity: 22.8). If yields increase by 75 basis points, using both duration and convexity, the approximate percentage change in the bonds price is closest to: A. -3.26% B. -3.39% C. -3.13%
某股票当前价格为50元,预期年股息为3元,股息增长率为5%,要求收益率为12%,使用股息贴现模型计算该股票的内在价值
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