A city engineer has estimated the annual toll revenues from a newly proposed highway construction over 25 years as follows: An = ($2,000,000) (n) (1.05)n-¹, n=1,2,...,25 To determine the amount of debt financing through bonds, the engineer was asked to present the estimated total present value of toll revenue at an interest rate of 5%. Assuming annual compound- ing, find the present value of the estimated toll revenue.
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- A government decided to make a 25-year loan on $2,000,000 to a "Toll Road Authority". The first 4 year of the loan period was spent on road construction during which time the government agreed to "capitalize" the interest until the road construction is completed and toll collection has started in the 5th year. $400,000 was expected to be spent at the beginning of the each of the first two years and the rest was also spent equally at the beginning of the 3rd and 4th year. a) What annual payment by the Toll Authority would repay the loan (principal plus interest) over the remaining 21 years at 10% annual compound interest? b) Assume the annual profit (toll collection minus all kinds of cost excluding the loan payment) is $350,000 and the life cycle is 21 year with zero salvage value. What is the IRR of this project? Comment on the economic feasibility when MARR=13%.A government decided to make a 25-year loan on $2,500,000 at 10% interest to a "Toll Road Authority". Four year of the loan period was to be spent to build the road during which time the government agreed to "capitalize" the interest until the road is completed and toll collection has started in the 5th year. $500,000 was expected to be spent each of the first two years and the rest also equally in the 3rd and 4th years. What annual payment by the Toll Authority would repay the loan (principal plus interest) over the remaining 21 years?Makulay ang Buhay Corporation have agreed to shoulder the funds needed for road rehabilitation. At a meeting, the city engineer estimated that a total of Php 500,000 will be deposited at the end of next year into an account for the repaid of the old road throughout the neighborhood. Further, they estimated that the deposite will increase by PhP 100,000 per year for only 9 years thereafter then cease. Determine the equivalent annual series amounts, if public funds earn at a rate of 5% effective.
- Roads and Highways Department (RHD), Khulna has agreed to pool bridge and road toll-tax resources already designated for existing old bridge refurbishment. At a recent RHD meeting, the engineers estimated that a total of $500,000 will be deposited at the end of next year into an account for the repair of old and safety questionable bridges throughout the area. Further, they estimate that the deposits will increase by $100,000 per year for only 9 years thereafter, then cease. Determine the equivalent (a) present worth and (b) annual series amounts, if public funds earn at a rate 4% per year.A road is constructed at the capital cost of $10 million. At the end of Year 10, major improvements are to be made costing $12 million. At the end of Year 25, a replacement and upgrade is to be done at a cost of $27 million. At the end of year 40, the federal government issues a one-time tax credit in the amount of $11 million. FIND Over a 50-year analysis period (assuming a 10% interest rate) what is the annualized cost (to the nearest dollar, $###) of all of these expenses?You are tasked with calculating the property tax needed to fund the construction and operation of a $22.5 million complex. The facility's annual operating budget is forecast at $3.6 million, to be covered by revenues from programs offered at the facility. A 30-year general obligation bond with a rate of 5.5% will be issued to pay for the facility's construction costs. The net assessed value of property in the municipality is $725 million. Calculate the amount that must be set aside each year to meet the bond's principal and interest obligations over 30 years. Calculate the additional mileage required to cover the project's debt service. For an owner of the property with a total assessed value of $15,000, by how much will his/her property tax increase?
- A city borrows $ 1 million, paying semi-annual interest at j2 = 9%. The city creates a sinking fund in which semi-annual deposits of $37360.93 are made in order to accumulate the $ 1 million needed to repay the loan upon maturity. The sinking fund earns j2 = 8%.What is the book value of the debt at the end of the 5 years?In early 2024, Beertender Company entered into a long term contract to construct abridge for Notsosober County for $10 million. The bridge will take three years tocomplete. In 2024, Beertender spent $2.8 million on the project, recognized $3.5million in revenue and $0.7 million in profit. In 2025, Beertender spent $4.2 million onthe project, recognized $3.8 million in revenue and a $0.4 million loss. Beertenderbilled Notsosober $3.0 million in 2024 and $4.5 million in 2025. Notsosober paidBeertender $2.6 million in 2024 and $4.3 million in 2025. Beertender Companyrecognizes revenue on all contracts over time by using the cost to cost ratio. 1. When preparing its December 31, 2024 balance sheet, Beertender would report thefollowing with regards to this contract: Current Assets of $3.9 million, and Current Liabilities of $3.0 million. Current Assets of $6.5 million, and no Current Liabilities. Current Assets of $3.9 million, and no Current Liabilities. Current Assets of $0.9…A project with a debt of $2,000 million at 12% interest rate, is expected to repay the debt’s principal in equal instalments over a period of 5 years. The SPV is projected to earn operating revenue of $3,000 million in year 5 of its operation. The following are the corresponding operating costs: Raw materials and operating costs - $1,000 million O & M contract fees - $500 million Insurance costs - $450 million Taxes - $650 million Calculate Annual Debt Service Cover Ratio for year 5 and comment on your answer ).
- Tri-States Gas Producers expects to borrow $800,000 for field engineering improvements. Two methods of debt financing are possible—borrow it all from a bank or issue debenture bonds. The company will pay an effective 8% per year to the bank for 8 years. The principal on the loan will be reduced uniformly over the 8 years, with the remainder of each annual payment going toward interest. The bond issue will be for 800 ten-year bonds of $1000 each that require a 6% per year dividend payment. (a) Which method of financing is cheaper after an effective tax rate of 40% is considered? (b) Which is the cheaper method using a before-tax analysis? Is it the same as the after-tax choice?A company wishes to spend $40,000 for new equipment and decides to set up a sinking fund to accumulate this money over the 3-year period. If payments are to made to the fund quarterly with interest compounded quarterly at an annual rate of 5%, how large should the payments be?The cost of maintaining a public monument in Washington, D.C. occurs as periodic outlays of $10,000 every 5 years. If the first outlay is 5 years from now, the capitalized cost of the maintenance at an interest rate of 10% per year is closest to:a. $-1638b. $-16,380c. $-26,380d. $-29,360