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5089RL Training Diagnostic 23Why can off-policy learning become fragile when function approximation, bootstrapping, and distribution shift all interact?机器学习困难essay未尝试面试订阅5090RL In Trading CautionWhy should a quant be careful when mapping a toy MDP intuition directly into live trading?机器学习困难essay未尝试面试订阅5101Level Annuity PV 1A level annuity pays 10 at each year-end for 5 years. If the discount rate is 0.04, what is the present value?金融与交易中等数值题未尝试面试订阅5106Growing Perpetuity 1The next payment of a growing perpetuity is 5 in one year and then grows at 0.02 forever. If the discount rate is 0.07, what is the present value?金融与交易中等数值题未尝试面试订阅5109Growing Perpetuity 4The next payment of a growing perpetuity is 4.5 in one year and then grows at 0.025 forever. If the discount rate is 0.08, what is the present value?金融与交易中等数值题未尝试面试订阅5111Why Earlier Cashflow MattersTwo projects pay the same total cash over three years, but one front-loads more of it. Why is its present value typically higher when discount rates are positive?金融与交易困难essay未尝试面试订阅5112Why Discount Factors Are UsefulWhy do rates desks often think in discount factors rather than only in interest rates?金融与交易困难essay未尝试面试订阅5113Compounding Convention RiskWhy can using the wrong compounding convention create pricing discrepancies even if the quoted number looks similar?金融与交易困难essay未尝试面试订阅5114Why Break-Even Rates MatterWhy is solving for an implied or break-even discount rate often more informative than reporting a present value alone?金融与交易困难essay未尝试面试订阅5115Why Long-Dated Cashflows Are SensitiveWhy does a small change in discount rate usually move the value of a far-dated cashflow more than that of a near-dated one?金融与交易困难essay未尝试面试订阅5121Clean And Dirty Price 1A bond's annual coupon payment is 6. A buyer settles after 0.25 of the coupon period has elapsed, and the quoted clean price is 101.2. What are accrued interest and dirty price?金融与交易简单数值题未尝试面试订阅5122Clean And Dirty Price 2A bond's annual coupon payment is 4.5. A buyer settles after 0.5 of the coupon period has elapsed, and the quoted clean price is 98.8. What are accrued interest and dirty price?金融与交易简单数值题未尝试面试订阅5143Average Forward Implied by Two Zero YieldsThe continuously compounded 2-year zero yield is 3.0% and the 5-year zero yield is 4.2%. What is the average continuously compounded forward rate from year 2 to year 5?金融与交易简单数值题未尝试面试订阅5146Roll-Down Price of Today's Two-Year ZeroToday D(1)=0.97 and D(2)=0.94. If the entire curve shape is unchanged one year from now, what will be the price then of today's 2-year zero-coupon bond?金融与交易中等数值题未尝试面试订阅5148Flat-Zero Roll-Down Under an Unchanged CurveA 3-year zero-coupon bond is priced off a flat continuously compounded zero curve at 4%. If the curve stays unchanged one year later, what is the bond's price then?金融与交易中等数值题未尝试面试订阅5150Log Discount Ratio Over One Year of Roll-DownToday D(1)=0.94 and D(0)=1. What continuously compounded one-year carry is implied by simply holding today's 1-year zero to maturity under no curve shock?金融与交易中等数值题未尝试面试订阅5151Final Stub Forward From Bond Price 1A 1.5-year bond with face 100 has annual coupon rate 4.0%, paid semiannually, and trades at 100.911. The discount factors are D(0.5)=0.985 and D(1.0)=0.968. Assume the annual-compounded forward rate from 1.0 years to 1.5 years is flat over that stub. What forward rate is implied?金融与交易困难数值题未尝试面试订阅5161Why Steep Curves MatterWhy does an upward-sloping yield curve usually imply positive roll-down carry for a bond held over time, all else equal?金融与交易困难essay未尝试面试订阅5162Why Spot And Forward DifferWhy should you not expect a 2-year spot rate and the 1y1y forward rate to be identical in general?金融与交易困难essay未尝试面试订阅5163Why Bootstrapping WorksWhy does curve bootstrapping solve short maturities first and then move outward one maturity at a time?金融与交易困难essay未尝试面试订阅