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5760Semiannual Coupon Bond PriceA 2-year bond with face 100 pays a 6% annual coupon rate in semiannual installments. Its yield to maturity is 5% per year (compounded semiannually). What is the bond's price?金融与交易中等数值题未尝试免费5763Price Change From Modified DurationA bond trades at 100 with modified duration 6.2. Using the first-order (duration-only) approximation, estimate the new price if the yield rises by 25 basis points.金融与交易简单数值题未尝试免费5766Premium, Par, Or DiscountA 2-year annual-coupon bond has face 100, coupon rate 4.5%, and yield to maturity 5.2%. State whether it trades at a premium, par, or discount, and give its price.金融与交易中等数值题未尝试免费5767DV01 From Duration And PriceA bond trades at 98.4 (per 100 face) with modified duration 5.8. What is its DV01 (the price change for a 1-basis-point yield move) per 100 face?金融与交易中等数值题未尝试免费5768Duration Of A Zero-Coupon BondA zero-coupon bond matures in 7 years and is priced at a yield to maturity of 4.5% (annual compounding). What is its modified duration in years?金融与交易简单数值题未尝试免费5769Approximate Yield To MaturityA 4-year annual-coupon bond has face 100, coupon 5, and trades at 95. Using the approximate-YTM formula [C + (F − P)/n] / [(F + P)/2], estimate its yield to maturity (in percent).金融与交易中等数值题未尝试免费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5779Annual-To-Continuous EquivalenceAn annually compounded rate of 0.06 is given. What continuously 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5852Nested Radical Fixed PointA sequence is defined by x 1 = 1 and x (n+1) = sqrt(2 + x n). Assuming it converges, find its limit.数学中等数值题未尝试免费5857Arithmetico-Geometric SeriesEvaluate the infinite series sum (n=1) inf n * (1/2) n.数学中等数值题未尝试免费5858Integrating Factor with Variable CoefficientSolve the first-order linear ODE x'(t)+\dfrac x(t) t =t for t>0 with x(1)=2, and evaluate x(2).数学中等derivation未尝试面试订阅5859Separable Nonlinear ODE and Blow-UpSolve the separable ODE y'(x)=x\,y(x) 2 with y(0)=1. At what value of x>0 does the solution blow up?数学中等derivation未尝试面试订阅5860Overdamped Second-Order ODE with Distinct Real RootsSolve y''-5y'+6y=0 with y(0)=1 and y'(0)=0.数学中等derivation未尝试面试订阅5867Daily Break-Even Move From Implied VolA stock trades at 80 with 32% annualized implied volatility. To roughly the nearest cent, what one-day one-sigma move (in price points) does that implied volatility price in, using 252 trading days?数理金融简单数值题未尝试免费