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5091Discounted Cashflow 1You receive 105 in 3 years. If the annual discount rate is 0.05, what is the present value?金融与交易简单数值题未尝试面试订阅5096Continuous Discounting 1A cashflow of 100 arrives at time T=1.5. With continuously compounded rate 0.035, what is its present value?金融与交易简单数值题未尝试面试订阅5097Continuous Discounting 2A cashflow of 180 arrives at time T=2. With continuously compounded rate 0.045, what is its present value?金融与交易简单数值题未尝试面试订阅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5770PV From A Quoted Discount FactorThe market 4-year discount factor is quoted directly as 0.8638. A single cashflow of 250 is due in exactly 4 years. What is its present value?金融与交易简单数值题未尝试面试订阅5771Eight-Year Annuity PVAn ordinary annuity pays 12 at the end of each year for 8 years. The flat discount rate is 0.06. What is its present value?金融与交易中等数值题未尝试面试订阅5772Level Perpetuity PVA perpetuity pays 7 at the end of every year forever, with the first payment one year from now. The discount rate is 0.035. What is its present value?金融与交易简单数值题未尝试面试订阅5773Zero-Coupon Price From YieldA zero-coupon bond pays 100 at maturity in 7 years. Its annually compounded yield is 0.04. What is its price today?金融与交易简单数值题未尝试面试订阅5774Continuous-To-Annual EquivalenceA rate of 0.05 is quoted as continuously compounded. What annually compounded rate produces the same one-year discount factor?金融与交易中等数值题未尝试面试订阅5775Effective Annual Rate From Monthly NominalA nominal annual rate of 0.08 is compounded monthly. What is the effective annual rate?金融与交易中等数值题未尝试面试订阅5776PV Under A Non-Flat Discount CurveA bond pays 50 in 1 year, 50 in 2 years, and 1050 in 3 years. The quoted discount factors are 0.97, 0.93, and 0.88 for years 1, 2, and 3. What is its present value?金融与交易中等数值题未尝试面试订阅5777Breakeven Rate Of Two CashflowsYou pay 80 today and receive 100 in exactly 2 years. What annually compounded discount rate sets the present value of the deal to zero (its breakeven rate)?金融与交易中等数值题未尝试面试订阅5778Semiannual-Compounding PVA cashflow of 100 is due in 3 years. The rate is 0.06, quoted as a nominal annual rate compounded semiannually. What is the present value?金融与交易中等数值题未尝试面试订阅