Final answer:
XYZ's projected revenue over the life of the new bonds is $28.75 million, taking into account the current property tax rate and the expected increase in the ratable base. The expenses will include the costs of the utility infrastructure project and the refinancing of existing bonds.
Step-by-step explanation:
To project XYZ's revenue and expenses over the life of the new bonds, we need to consider various factors. First, let's determine XYZ's revenue. Currently, the property tax rate is 5% and property taxes make up 100% of the city's revenue. The ratable base is $500 million, so the city's current revenue from property taxes is $25 million ($500 million * 5%).
Next, let's calculate the projected revenue from the new developments. The new developments will increase the ratable base by $75 million in 3 years. Assuming the property tax rate remains the same, the additional revenue from these developments will be $3.75 million ($75 million * 5%) over the 3-year period.
To calculate XYZ's expenses, we need to consider the costs of the utility infrastructure project. The estimated cost of the project is $25 million. The city has a cash surplus of $7.5 million, and 50% of this surplus ($3.75 million) can be immediately allocated towards the work. The remaining $21.25 million ($25 million - $3.75 million) will be financed by issuing a 10-year bond at 4.5% interest.
Additionally, XYZ currently has $20 million in bonds outstanding that mature in 5 years. These bonds have an average interest rate of 3%. At the time of maturity, the city will need to refinance these bonds at the current market yield rate.
Considering all these factors, XYZ's projected revenue over the life of the new bonds will be $28.75 million ($25 million + $3.75 million). The projected expenses will include the costs of the utility infrastructure project and the refinancing of the existing bonds.
In conclusion, XYZ's projected revenue over the life of the new bonds will be $28.75 million and the expenses will depend on the costs of the utility infrastructure project and the refinancing of the existing bonds.