In: Finance
Module 20: Long-Term Financing 1. Why do public organizations use municipal bonds to finance long-term capital projects?
2. A major urban center is planning to issue a $100 million, 20-year, semiannual-interest-paying municipal bond for the construction of a stadium.
a. The interest rate is 5.875%, based on the economic and financial conditions of the city and city government.
b. The design and issuance costs are estimated to be $10 million and 1%, respectively.
c. What is the total interest paid if the city decides to adopt a level debt service structure?
d. How much will the city still owe on this bond at the end of each year?
1.Municipal bonds are the debt securities issued by the states,cities,countries & other govertmental entities to fund day to day obligation and to finance capital projects such as building, school & sewer system.
Generally interest on municipal bonds is exempt from tax.
Also interest on municipal bond is usually lower than on taxable fixed income securities such as corporate bonds.
2.Semi annually payment would be =$100m/(1+.029375)^40 = $100m/23.35 = $4.28265m
Yearly closing would be:
Year | Opening | Installment | Int. | Pricipal | Closing |
1 | 98.65485 | 4.28265 | 2.897986 | 1.384664 | 97.27019 |
2 | 95.84485 | 4.28265 | 2.815442 | 1.467208 | 94.37764 |
3 | 92.86733 | 4.28265 | 2.727978 | 1.554672 | 91.31266 |
4 | 89.71232 | 4.28265 | 2.635299 | 1.647351 | 88.06497 |
5 | 86.36923 | 4.28265 | 2.537096 | 1.745554 | 84.62367 |
6 | 82.82685 | 4.28265 | 2.433039 | 1.849611 | 80.97723 |
7 | 79.07329 | 4.28265 | 2.322778 | 1.959872 | 77.11342 |
8 | 75.09597 | 4.28265 | 2.205944 | 2.076706 | 73.01927 |
9 | 70.88156 | 4.28265 | 2.082146 | 2.200504 | 68.68106 |
10 | 66.41591 | 4.28265 | 1.950967 | 2.331683 | 64.08423 |
11 | 61.68405 | 4.28265 | 1.811969 | 2.470681 | 59.21337 |
12 | 56.67012 | 4.28265 | 1.664685 | 2.617965 | 54.05215 |
13 | 51.35728 | 4.28265 | 1.50862 | 2.77403 | 48.58325 |
14 | 45.72774 | 4.28265 | 1.343252 | 2.939398 | 42.78834 |
15 | 39.76259 | 4.28265 | 1.168026 | 3.114624 | 36.64797 |
16 | 33.44186 | 4.28265 | 0.982354 | 3.300296 | 30.14156 |
17 | 26.74432 | 4.28265 | 0.785614 | 3.497036 | 23.24728 |
18 | 19.64752 | 4.28265 | 0.577146 | 3.705504 | 15.94202 |
19 | 12.12766 | 4.28265 | 0.35625 | 3.9264 | 8.201264 |
20 | 4.159526 | 4.28265 | 0.122186 | 4.160464 | -0.00094 |