Question

soca co. offers a 9 percent coupon bond with semiannual payments and a yield to maturity of 7.50 percent. The bonds mature in 18 years. What is the market price of a $1,000 face value bond?

Answer #1

Period | Cash Flow | Discounting
Factor [1/(1.0375^year)] |
PV of Cash
Flows (cash flows*discounting factor) |

1 | 45 | 0.963855422 | 43.37349398 |

2 | 45 | 0.929017274 | 41.80577733 |

3 | 45 | 0.895438336 | 40.29472513 |

4 | 45 | 0.863073095 | 38.83828929 |

5 | 45 | 0.831877682 | 37.4344957 |

6 | 45 | 0.801809814 | 36.08144164 |

7 | 45 | 0.772828737 | 34.77729314 |

8 | 45 | 0.744895168 | 33.52028255 |

9 | 45 | 0.717971246 | 32.30870607 |

10 | 45 | 0.692020478 | 31.14092151 |

11 | 45 | 0.66700769 | 30.01534604 |

12 | 45 | 0.642898978 | 28.93045401 |

13 | 45 | 0.619661666 | 27.88477495 |

14 | 45 | 0.597264256 | 26.87689152 |

15 | 45 | 0.575676391 | 25.90543761 |

16 | 45 | 0.554868811 | 24.96909649 |

17 | 45 | 0.534813312 | 24.06659903 |

18 | 45 | 0.51548271 | 23.19672195 |

19 | 45 | 0.496850805 | 22.35828622 |

20 | 45 | 0.478892342 | 21.55015539 |

21 | 45 | 0.46158298 | 20.77123411 |

22 | 45 | 0.444899258 | 20.02046662 |

23 | 45 | 0.428818562 | 19.29683529 |

24 | 45 | 0.413319096 | 18.59935932 |

25 | 45 | 0.398379852 | 17.92709332 |

26 | 45 | 0.38398058 | 17.27912609 |

27 | 45 | 0.370101764 | 16.65457936 |

28 | 45 | 0.356724591 | 16.05260662 |

29 | 45 | 0.343830932 | 15.47239192 |

30 | 45 | 0.331403307 | 14.91314884 |

31 | 45 | 0.319424875 | 14.37411936 |

32 | 45 | 0.307879397 | 13.85457288 |

33 | 45 | 0.296751226 | 13.35380518 |

34 | 45 | 0.286025278 | 12.87113753 |

35 | 45 | 0.275687015 | 12.40591569 |

36 | 45 | 0.265722424 | 11.9575091 |

36 | 1000 | 0.265722424 | 265.7224244 |

Price
of the Bond =Sum of PVs |
1146.855515 |

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