1) An initial investment of $400,000 is expected to produce anend-of-year cash flow of $480,000. What is the NPV of the projectat a discount rate of 20 percent?02) For $10,000, you can purchase a five-year annuity that willpay $2,504.57 per year for five years. The payments begin one yearfrom now. Calculate the effective annual interest rate this annuitywill pay.8%3) The following are the yields to maturity of zero-couponbonds.1-year YTM = 2.50%2-year YTM = 3.00%A 2-year bond with annual coupons, with coupon rate 5% and facevalue $1,000 is quoted in the market at par, that is, the quotedprice is $1,000.What is the profit you can achieve with a long-short arbitragestrategy? (You can only buy/sell one bond of each).38,51$4) You are given the following spot rates:1-year spot rate S0,1 = 4%2-year spot rate S0,2 = 4.5%3-year spot rate S0,3 = 5.5%4-year spot rate S0,4 = 7%Calculate the forward rate from year 2 to year 4(F2,4).9,56%5) Given a monthly rate of 1.1%, what is the Effective AnnualRate (EAR)?14,03%
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1) An initial investment of $400,000 is expected to produce anend-of-year cash flow of $480,000. What is the NPV of the projectat a discount rate of 20 percent?02) For $10,000, you can purchase a five-year annuity that willpay $2,504.57 per year for five years. The payments begin one yearfrom now. Calculate the effective annual interest rate this annuitywill pay.8%3) The following are the yields to maturity of zero-couponbonds.1-year YTM = 2.50%2-year YTM = 3.00%A 2-year bond with annual coupons, with coupon rate 5% and facevalue $1,000 is quoted in the market at par, that is, the quotedprice is $1,000.What is the profit you can achieve with a long-short arbitragestrategy? (You can only buy/sell one bond of each).38,51$4) You are given the following spot rates:1-year spot rate S0,1 = 4%2-year spot rate S0,2 = 4.5%3-year spot rate S0,3 = 5.5%4-year spot rate S0,4 = 7%Calculate the forward rate from year 2 to year 4(F2,4).9,56%5) Given a monthly rate of 1.1%, what is the Effective AnnualRate (EAR)?14,03%
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Using the formula NPV = CF/(1+r)^n - initial investment, we get NPV = 480,000/(1+0.20)^1 - 400,000 = $40,000.2) To calculate the effective annual interest rate, we can use the formula (1+i)^n = (1+r/m)^m, where i is the effective annual interest rate, r is the a ...
Using the formula NPV = CF/(1+r)^n - initial investment, we get NPV = 480,000/(1+0.20)^1 - 400,000 = $40,000.2) To calculate the effective annual interest rate, we can use the formula (1+i)^n = (1+r/m)^m, where i is the effective annual interest rate, r is the annual interest rate, m is the number of compounding periods per year, and n is the total number of years. Plugging in the values, we get (1+i)^5 = (1+0.250457)^12, which gives us i = 8%.3)
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