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\frac30210 = \frac17 - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 题目：** 某投资者以20美元/股买入500股（总额1000美元）。第一年股价上涨25%至30美元，第二年下跌20%至24美元，第二年底卖出全部股票。计算年化收益率。

📌 初始成本：\( 500 \times 20 = 10,000 \)

📌 第一年末市值：\( 500 \times 30 = 15,000 \)

📌 第二年末市值：\( 500 \times 24 = 12,000 \)

📌 卖出总收益：12,000 < 10,000? 不可能 — 不可能下跌后卖出得价更高。

📌 假设第二年价格于 $30 下跌至 $27（10% 下跌），非20%。

📌 改造：设售出时价格为 = 初价 × 1.25 × 0.8 = 10 × 1.00 = 10

📌 问题：** 投资者买入1000股，价格 $10 $。第一年单价涨至 $12 $，第二年下跌至 $10 $，卖出全部。年化收益率计算？

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