Pybus, Inc., is considering issuing bonds that will mature in 20 years with an 8
ID: 2612587 • Letter: P
Question
Pybus, Inc., is considering issuing bonds that will mature in 20 years with an 8 percent annual coupon rate. Their par value will be $1000, and the interest will be paid semiannually. Pybus is hoping to get a AA rating on its bonds and, if it does, the yield to maturity on similar AA bonds is 7.5 percent. However, Pybus is not sure whether the new bonds will receive a AA rating. If they receive a A rating, the yield to maturity on similar A bonds is 8.5 percent. What will be the price of these bonds if they receive either a A or AA rating?
Explanation / Answer
Pybus Inc details Amt $ Par value bond 1,000 Annual cpoupon rate 7% Half yearly interest amt 35 YTM for AA rating 8% Half yearly discounting factor for AA rating 4% YTM for A rating 9% Half yearly discounting factor for A rating 4.50% Bond price calculation Period Coupon+Maturity Cash Flow Half yearly discounting factor for AA rating PV of cash flow for AA rating Half yearly discounting factor for A rating PV of cash flow for A rating 1 35 0.962 33.65 0.957 33.49 2 35 0.925 32.36 0.916 32.05 3 35 0.889 31.11 0.876 30.67 4 35 0.855 29.92 0.839 29.35 5 35 0.822 28.77 0.802 28.09 6 35 0.790 27.66 0.768 26.88 7 35 0.760 26.60 0.735 25.72 8 35 0.731 25.57 0.703 24.61 9 35 0.703 24.59 0.673 23.55 10 35 0.676 23.64 0.644 22.54 11 35 0.650 22.74 0.616 21.57 12 35 0.625 21.86 0.590 20.64 13 35 0.601 21.02 0.564 19.75 14 35 0.577 20.21 0.540 18.90 15 35 0.555 19.43 0.517 18.09 16 35 0.534 18.69 0.494 17.31 17 35 0.513 17.97 0.473 16.56 18 35 0.494 17.28 0.453 15.85 19 35 0.475 16.61 0.433 15.17 20 35 0.456 15.97 0.415 14.51 21 35 0.439 15.36 0.397 13.89 22 35 0.422 14.77 0.380 13.29 23 35 0.406 14.20 0.363 12.72 24 35 0.390 13.65 0.348 12.17 25 35 0.375 13.13 0.333 11.65 26 35 0.361 12.62 0.318 11.14 27 35 0.347 12.14 0.305 10.66 28 35 0.333 11.67 0.292 10.20 29 35 0.321 11.22 0.279 9.77 30 35 0.308 10.79 0.267 9.35 31 35 0.296 10.38 0.256 8.94 32 35 0.285 9.98 0.244 8.56 33 35 0.274 9.59 0.234 8.19 34 35 0.264 9.22 0.224 7.84 35 35 0.253 8.87 0.214 7.50 36 35 0.244 8.53 0.205 7.18 37 35 0.234 8.20 0.196 6.87 38 1035 0.225 233.17 0.188 194.32 903.16 819.50 So Bond Price for AA rating $ 903.16 Bond Price for A rating $ 819.50
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