Cougars Case

Investment Management Case 1 COUGARS TEAM8 Kun monoamine oxidase Xiaobin Yang Ruoxi Cao Yang Qiao Jing Liu Riskless zero- voucher bond is the bond bought at a price raze than its face lever, with the face value re nonrecreational at the time of maturity. The zero-coupon bond is riskless because the investors know exact money they will receive when the bond is maturity. The investors bargain for the bond in a lower price and get more(prenominal) money. No coupon is paid ahead maturity. The investors do not film to pay interest.Besides, because zero-coupon bond is riskless, the bondholders ar willing to hold it for long-term investment in order to diversity the portfolio. So it is important in the intractable income warrantor market. If a bond trades at a discount, its yield to maturity will exceed its coupon consec tramp. Zero coupon bonds always sells at a discount. The sensitivity of a bonds price to changes in interest r take ins is measured by the bonds duration. A b ond with high durations,its price is highly sensitive to interest rate changes.In other words, the prices of bonds with low durations are less sensitive to interest rate changes. That means interest rates of longer-term bonds are higher than shorter-term bonds. The term body structure of interest rates should be graphed as a curve define of zero-coupon bonds, in fact, it describe the relationship between matures and coupon leave. Using the date provided in the case, we can construct the following three yield curves a. COUGARs rifle collapse Curve This is the adjusted COUGARs strip yield curve that takes the discounted ate (8. 11%) into account. The adjustment is necessary because the prices provided in Exhibit 1 are prices for even offtlement on December 6, 1983, while treasury quotes are 20 days before, which is the date of November 16, 1983. The discount factor is 1. 0045, which is calculated as 1+8. 11%*20/360. The yield curve has an obvious upward bm before Nov. 1987 and so the curve keeps flat. To highlight the upward grade, our team set 8% as the minimum round of the vertical axis. b. Treasury voucher Yield CurveTo general anatomy the exchequer coupon yield curve, we select whatever bonds in the Exhibit2. We have eliminated those bonds with extremely low coupons and with multiple maturity designations. The treasury coupon yield curve also shows an upward trend before Nov. 1987. And then the curve stays flat as a full and just fluctuates slightly. Also we set 8 as the minimum number of the vertical axis to highlight the trend of the yield curve. c. Implied Spot Yield Curve Because of the lack of data from May 1996 to Nov. 000, we can only build the implied spot yield curve from May 1984 to Nov. 1993. But the incomplete yield curve has successfully reflected the trend, moving upward and then keeping flat. jibe to the curves, we can observe that Strips yields show the yield of a separate zero-coupon security which is actually converted by coup on and principal payments of the Treasury bonds. Treasury coupon yield, which is the yield curve based on the treasury quotes, is the stated interest rates of a bond. The rates in three curves should about be the same.It is obvious to image that these three curves have the same trend as a whole. All of them go upward before Nov. 1987 and then stay flat. Treasure bond price (300000000*11. 875%/11. 89%)*1-1/(1+11. 89%)20=267944276 The value of United States Treasure Bond A. G Becker bought is 267944276. Then A. G Becker stranded coupons from the principal of coupon bonds then sold the coupons to investors, each of these investments then paid a single lump sum. We can calculate the value of coupon 300000000*11,875%/2=17812500.The value of coupon in each payment decimal point equals to the face value of each zero coupon bonds. Investors bought the zero coupon bond at a price lower than par value. The gunstock A. G Becker collected in 1984 equals to sum of zero coupon bonds price. The unlikeness between value of treasure bond and capital raised by zero coupon bonds is the value created through COUGARS. Capital raised by zero coupon bonds 11. 875%/2*300000000*15. 30606=272639193. So we can easily see that the value created by COUGARS is 272639193. 8-267944276=4694917. 8.