Saturday, May 18, 2019
They Are More Complex Than You Think
Case incarnate Bonds They atomic number 18 More Complex Than You Think 1. How should Jill go astir(predicate) justifying the relationship amidst coupon prise and bond prices? Why do the coupon gaits for the various bonds vary so much? Jill should explain the relationship between coupon rates and bond prices by calculating the price of the bonds, which shoot same features except coupon rate. Lets compare first principle Energy issuer with the coupon rate 5% and 0% (the same with rating and YTM) IssuerMaturityFace ValueCoupon RateRatingYieldPrice% Change first principle Energy2010005%AAA2%$1,490. 54 49. 05% first rudiment Energy2010005%AAA3%$1,297. 55 29. 5% ABC Energy2010005%AAA5%$1,000. 00 0. 00% ABC Energy2010005%AAA6%$885. 30 -11. 47% ABC Energy2010000%AAA2%$672. 97 -32. 70% ABC Energy2010000%AAA3%$553. 68 -44. 63% ABC Energy2010000%AAA5%$376. 89 -62. 31% ABC Energy2010000%AAA6%$311. 80 -68. 82% The table shows that the 5% coupon bond has a wider fluctuation in price tha n the zero coupon bond for equivalent changes in break. 2. How are the ratings of these bonds mulish? What happens when the bond ratings get adjusted downwards? The ratings of these bonds are de considerationined by two professional bond-rating firms sullens and Standard & Poors (S&P).Each of these bond-rating firms has a committee that evaluates the risk level of the comp eachs bond issue. It assigns a rating ranging from AAA or Aaa (best rating) down to D (default). The ratings are sporadically re-evaluated whenever there is a signifi discharget development in a companys structure or earning performance. When the ratings get adjusted downward, the bond becomes less attractive. Hence, the rate of return goes up to reduce its price. 3. During the presentation integrity of the clients is puzzled why some bonds sell for less than their face set while others sell for premium.She asks whether the entailment bonds are a bargain. How should Jill respond? Bonds can be issued at a di scount, at par, or nevertheless at premium from face grade. The majority of bonds are sold at par ($1,000) with the coupon rate be set equal to the yield that proportional with its rating and maturity. After it is being issued, the yields demanded by investors ordain change, only when the coupon rate still stays the same. If the yield exceeds the coupon rate, investors are demanding a high rate of return than what the company is currently relenting via the coupon payment, which leads the price drops and vice versa.As long as the yields are a true reflection of the risk level of the bond, there would not be any a bargain for the bond price, whether at a discount or premium from face value. 4. What does the term yield to maturity mean and how is it to be calculated? The yield to maturity (YTM) of a bond is the rate of return that an investor expects to earn when he or she buys the bond at its current price, receive the face value when it matures. The YTM is considered a long-te rm bond yield expressed as an one-year rate. The YTM of a bond is similarly known as its promised yield.To calculate a bonds YTM, we must use the following inputs For suit ABC Energy, 5%, 20 years, face value $1,000, price $703. 1 (semi-annual coupons) PV= -703. 1, N=40, PMT = 25, FV = 1000 = I = 4 (semi-annual) Interest annual = 4%*2 = 8 % 5. What is the difference between the nominal and potent yields to maturity for each bond listed in Table 1? Which one should the investor use when deciding between corporate bonds and other securities of similar risk? Please explain. IssuerFace ValueCoupon Rate Rating advert PriceYTM Sinking FundCall stopover YTM (semi-annual)Nominal YTMEffective YTM ABC Energy 10005%AAA703. 20yes34. 0001%8. 0001%8. 1601% ABC Energy 10000%AAA208. 320yesn/a3. 9999%7. 9997%8. 1597% TransPower100010%AA109220yes54. 5000%9. 0001%9. 2026% Telco Utilities100011%AA1206. 430no54. 4999%8. 9998%9. 2023% The nominal yield to maturity on the bond is calculated by mult iplying the semi-annual yield by two. The effective YTM is calculated by compounding the semi-annual yield for two periods. For example, on the ABC Energy 5%, 20 year bond, the semi-annual YTM is 4%. The effective annual YTM would be calculated (1+0. 4)2-1 = 0. 0816 or 8. 16%.Since the YTM is a promise yield with the actual yield being dependent on the reinvestment rate that each investor is able to earn, it is best to compare similar risk bonds on the basis of their nominal YTMs. 6. Jill knows that the call period and its implications willing be of particular concern to the audience. How should she go about explaining the effects of the call provision on bond risk and return potential. Call provisions are attached to bonds so that it allows companies to refinance their debt at lower rates when interest rates drop.The existence of a call provision presents a risk to the bond investor that their investment horizon on that bond may be prematurely ended. Moreover, there is reinvestme nt risk associated with callable bonds, since the bonds are called when rates are low. The company does pay a premium when the bond is called. Furthermore, there is a deferred call period for five years, which the bond cant be called. In the case of callable bonds, investors should calculate the yield to the first call of the bonds to decide.For this calculate, the future value is set to equal to $1,000 + 1 year coupon, the maturity is assumed to be the number of years until the bond become callable. 7. How should Jill go about explaining the riskiness of each bond? Rank the bonds in monetary value of their relative riskiness. IssuerFace ValueCoupon Rate Rating Quote PriceYTM Sinking FundCall Period YTM (semi-annual)Nominal YTMEffective YTMRisk Rank (1=low) ABC Energy 10005%AAA703. 120yes34. 0001%8. 0001%8. 1601%1 ABC Energy 10000%AAA208. 320yesn/a3. 9999%7. 9997%8. 1597%2 TransPower100010%AA109220yes54. 5000%9. 001%9. 2026%3 Telco Utilities100011%AA120630no54. 4999%8. 9998%9. 202 3%4 The bond ratings provide a general guide as to the credit risk associated with each bond. Within it ratings, investors need to be aware(p) of call risk, reinvestment risk, maturity, and the sinking fund provisions effect on risk. Callability makes a bond have a higher reinvestment risk. Among the AAA bonds, the zero coupon bond has no call risk, no reinvestment risk, but the higher price risk. Among the AA bonds, Telco Utilities has a longer maturity and no sinking fund fashioning it the riskiest. . One of Jills best clients poses the following questions, If I buy 10 of each of these bonds, reinvest any coupons received at the rate of these bonds, reinvest any coupons received at the rate of 5% per year and hold them until they mature, what will my realized return be on each bond investment? How should Jill respond? IssuerFace ValueCoupon Rate Quote PriceYTM Sinking FundCall Period YTM (semi-annual)Nominal YTMEffective YTMFV of couponFV of coupon + FVRealized Return (Semi-An nual)Realized Return ABC Energy 10005%703. 120yes34. 0001%8. 001%8. 1601%$1,685. 06 $2,685. 06 3. 41%6. 81% ABC Energy 10000%208. 320yesn/a3. 9999%7. 9997%8. 1597%$0. 00 $1,000. 00 4. 00%8. 00% TransPower100010%109220yes54. 5000%9. 0001%9. 2026%$3,370. 13 $4,370. 13 3. 53%7. 06% Telco Utilities100011%120630no54. 4999%8. 9998%9. 2023%$7,479. 54 $8,479. 54 5. 00%9. 99% In the case of the ABC Energy, 5% coupon bond, the realized return is calculated as follows Future value of reinvested coupon N=40, I = 2. 5, PV=0, PMT=25 = FV= 1685. 06 Realized return = (1685. 06+1000)/703. 1(1/40) -1 = 3. 41% *2 = 6. 82%
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