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4066Scaled Kelly Fraction 1A strategy's full-Kelly position is 0.8. A risk mandate caps absolute position size at 0.3. What is the largest Kelly fraction lambda the desk can apply without breaching the cap?金融与交易简单derivation未尝试面试订阅4067Scaled Kelly Fraction 2A strategy's full-Kelly position is -1.2. A risk mandate caps absolute position size at 0.6. What is the largest Kelly fraction lambda the desk can apply without breaching the cap?金融与交易简单derivation未尝试面试订阅4071Growth Retention under Fractional Kelly 1Under the quadratic Kelly scaling rule, the expected growth at fraction c of full Kelly is proportional to 2c-c 2 relative to full Kelly. What fraction of full-Kelly growth is retained at c=0.5?金融与交易中等derivation未尝试面试订阅4076Edge Estimate Is NoisyYour estimated edge is highly uncertain and may be overstated. Which is usually more prudent: full Kelly or half Kelly?金融与交易中等derivation未尝试面试订阅4077Drawdown Constraint Is BindingA mandate cares heavily about avoiding large drawdowns even if that sacrifices some long-run growth. Does that point toward full Kelly or a fractional Kelly rule?金融与交易中等derivation未尝试面试订阅4078Very Stable Edge and Deep Capital BaseIf the edge estimate is unusually stable, the capital base is deep, and drawdown tolerance is high, which becomes easier to justify: full Kelly or quarter Kelly?金融与交易中等derivation未尝试面试订阅4079Same Edge but Higher VolatilityTwo strategies have the same estimated edge, but one has much higher realized volatility and fatter drawdowns. Which should be shrunk more aggressively from full Kelly?金融与交易中等derivation未尝试面试订阅4080Unknown Correlation Across BetsIf you suspect your supposedly independent bets may actually become correlated under stress, should that make you more comfortable with full Kelly or less?金融与交易中等derivation未尝试面试订阅4083Fractional Kelly Portfolio Leverage 3A strategy has full-Kelly expected log-growth 12% per year. Under 40% Kelly and the quadratic approximation, what expected log-growth remains?金融与交易简单derivation未尝试面试订阅4084Fractional Kelly Portfolio Leverage 4To retain 75% of full-Kelly growth under the quadratic approximation with lambda in [0,1], what Kelly fraction is needed?金融与交易简单derivation未尝试面试订阅4086Why Most Real Desks Use Fractional KellyWhy do real trading desks and portfolio managers so often use fractional Kelly instead of full Kelly?金融与交易中等essay未尝试面试订阅4087Why Half Kelly Keeps Most of the GrowthWhy does half Kelly often look like an attractive compromise in practice?金融与交易中等essay未尝试面试订阅4088Why Fractional Kelly Is Really About Model RiskWhy is fractional Kelly best interpreted as a response to model risk rather than a rejection of Kelly logic?金融与交易中等essay未尝试面试订阅4089Why Drawdown Pain Is Not Captured by Asymptotic Growth AloneWhy can full Kelly be mathematically optimal in the long run and still feel practically intolerable?金融与交易中等essay未尝试面试订阅4090How to Sanity-Check a Fractional-Kelly AnswerWhat is a fast sanity check after you answer a fractional-Kelly sizing question?金融与交易中等essay未尝试面试订阅