Municipal Finance: Taxes, Budgets, Fiscal Indicators, Debt and the Pricing of Services
2. Municipal tax administration: levies and the collection cycle
A ULB’s receipts are own revenue (tax and non-tax), assigned or shared revenue and grants. Property tax is the principal own tax; the others (profession tax, advertisement tax, entertainment-type levies and so on) differ by State, and octroi, a tax on goods entering the limits, has been largely phased out because it obstructed trade. Keep the instruments apart.
| Instrument | Nature | Link to service | Example |
|---|---|---|---|
| Tax | Compulsory levy for general purposes | No direct quid pro quo | Property tax |
| Fee | Payment for a regulatory or licensing act | Roughly covers the cost of that act | Building-plan sanction, trade licence |
| User charge | Payment by the beneficiary for a service used | Proportional to use | Water, sewerage, solid-waste charge |
Tax administration is a cycle: identify properties (survey, GIS), assess (value), bill, collect, enforce (notice, penalty, attachment), hear appeals, update. Yield is a product: properties covered × average assessed value × rate × collection efficiency, so a weak link anywhere cuts the whole.
3. Property tax: the three bases and their arithmetic
Property tax is assessed on one of three bases, and each ties a different quantity to the rate.
| Base | Tax is | Strength | Weakness |
|---|---|---|---|
| Annual rental value (ARV) | Rate × net ARV, where net ARV is the rent the property would reasonably fetch less a statutory deduction for repairs | Intuitive; links tax to benefit | Needs rent data; rent control freezes rents, so the base lags the market and is unequal |
| Capital value (CV) | Rate × capital (market) value of land and building, by formula or guidance value | Tracks the market; more buoyant; independent of rent control | Needs reliable value data and revaluation; large bills for asset-rich, cash-poor owners |
| Unit area value (UAV) | Rate × area × unit value of the zone × multipliers for use, age, construction, floor and occupancy | Simple, transparent, suits self-assessment, few disputes | Needs city zoning and periodic revision of unit values; multipliers are crude |
- ARV example. Gross ARV ₹2,40,000; statutory deduction 10% gives net ARV ₹2,16,000; general rate 12% gives tax ₹25,920; a 5% rebate for early payment gives ₹24,624.
- UAV example. 120 m² × ₹500 per m² per year = ₹60,000; use factor 1.5 gives ₹90,000; age factor 0.8 gives ₹72,000; rate 20% gives tax ₹14,400.
- CV example. Capital value ₹80,00,000 at a rate of 0.15% gives tax ₹12,000.
4. Municipal budgeting: revenue and capital accounts
The budget is the council’s plan, its policy statement and its control. A ULB budget has two accounts. The revenue account carries recurring receipts (taxes, fees, user charges, rents, revenue grants) and recurring expenditure (establishment, operation and maintenance, interest, administration). The capital account carries capital receipts (capital grants, borrowing, sale of assets) and capital expenditure (creating or buying assets). The golden rule: borrow only to create assets, never to meet routine revenue expenditure; a revenue surplus is what funds part of capital works and debt service.
- Worked illustration (₹ lakh). Revenue receipts 120, revenue expenditure 100, so revenue surplus 20. Capital expenditure 60 is met by the surplus 20, a capital grant 25 and borrowing 15. Borrowing is a fraction of the capital outlay, and no borrowing finances the 100 of running costs.
5. Accrual accounting and performance budgeting
Cash versus accrual. A cash-basis account records an item when money moves. An accrual account records income when the right to it arises (the tax demand is raised) and expense when the obligation arises (the bill is received), keeps a balance sheet of assets and liabilities, and charges depreciation. It is kept by double entry, usually fund-wise.
| Event | Cash basis | Accrual basis |
|---|---|---|
| Property-tax demand ₹50 lakh raised, ₹38 lakh collected | Income ₹38 lakh | Income ₹50 lakh; ₹12 lakh shown as receivable |
| Salaries for the last month due, not yet paid | No expense this year | Expense booked; a liability is shown |
| Pumping station built for ₹6 crore | Entire sum is the year’s expenditure | Capitalised as an asset; depreciated over its life |
Accrual accounts show the true surplus, expose arrears and liabilities, create an asset register and give lenders and rating agencies a balance sheet they can trust. Performance budgeting moves the question from “what will be spent on salaries, materials and fuel?” to “what will be delivered for the money?”: allocations are classified by programme and activity, each with targets and unit costs (cost per tonne of waste collected, per cent of households with a tap), and outputs are reported against budget.
| Style | Basis of allocation | Strength | Weakness |
|---|---|---|---|
| Line-item | Last year plus an increment, by input | Simple, easy to control | Silent on results |
| Performance | Programmes with targets and unit costs | Links money to outputs | Needs data and cost accounting |
| Zero-based | Every activity justified afresh each cycle | Removes obsolete spending | Heavy effort every year |
| Participatory | Citizens help rank capital priorities | Legitimacy, local knowledge | Can favour the organised and loud |
6. Fiscal indicators for finance
Lenders, rating agencies and the State read a ULB through a few ratios. Each one asks a different question: how independent is the ULB, can its operations pay for themselves, can it carry debt, and does it actually collect what it assesses? State the definition being used, because the numerator and denominator vary between manuals, and a question will always say which one applies.
| Indicator | Definition | What it signals |
|---|---|---|
| Own-source revenue (OSR) ratio | (Own tax + own non-tax revenue) ÷ total revenue receipts | Autonomy: a low value means dependence on transfers |
| Per capita revenue | Revenue ÷ population (also per capita OSR) | Size-neutral comparison between cities |
| Operating ratio | Operation-and-maintenance expenditure (including establishment) ÷ revenue receipts; interest and depreciation excluded unless stated | Below 1: operating surplus. Above 1: running cost exceeds income |
| Debt service coverage ratio (DSCR) | Surplus available for debt service ÷ (interest + principal due in the year) | Below 1: surplus cannot pay the debt. Lenders want a comfortable margin above 1 |
| Collection efficiency | Amount collected ÷ amount demanded × 100; current efficiency uses current demand only, overall efficiency includes arrears | Willingness to pay and the enforcement capacity of the ULB |
| Establishment ratio | Establishment (salary and pension) ÷ revenue expenditure | A high value crowds out maintenance and capital work |
- Worked example (₹ lakh). Revenue receipts 800; O&M expenditure 600; interest 40; principal repaid 60. Operating surplus = 800 − 600 = 200. Operating ratio = 600 ÷ 800 = 0.75. Debt service = 40 + 60 = 100. DSCR = 200 ÷ 100 = 2.0.
- Collection (₹ lakh). Current demand 50, arrears 20, total collected 38 of which 30 was against current demand. Current efficiency = 30 ÷ 50 = 60%. Overall efficiency = 38 ÷ 70 = 54.29%.
7. Municipal bonds, debentures and credit enhancement
A bond is a tradable debt security: the ULB borrows from many investors for a fixed term, pays periodic interest (the coupon) and repays the principal at maturity (a bullet) or in instalments. A debenture is a debt instrument that may be secured by a charge on specified assets or receipts, or unsecured; in municipal usage the two words are largely interchangeable, and the issue document states the security. Against a bank loan a bond offers longer tenor, a fixed rate and a wider investor base, but demands disclosure, a rating and issue costs.
| Feature | General obligation bond | Revenue bond |
|---|---|---|
| Serviced from | The ULB’s whole revenue base and taxing power | Net cash flow of one project, held in an escrow account |
| Typical use | Roads, drains, public buildings that earn no revenue | Water, sewerage, bus terminal, market: assets with a tariff |
| Investor studies | The ULB’s overall finances and governance | Demand, tariff and collection of the project |
| Recourse | Full: a claim on general revenues | Limited to the project’s revenue; usually a higher coupon |
Credit enhancement lifts an issue above the ULB’s stand-alone strength: an escrow (trust and retention) account into which named revenues are paid before anything else, a debt service reserve fund holding some months of debt service, a State guarantee or an arrangement to intercept devolution transfers, and partial credit guarantees. Each reduces the investor’s risk, so the rating improves and the coupon falls.
8. Pooled finance, tax-free interest, bond price and yield
Pooled finance. A small ULB is too small and too weak to enter the market alone. A pooled vehicle (a State-level trust or special-purpose entity) issues one bond for several ULBs and on-lends the money. Issue costs are spread, risks diversify, and a pool-level reserve fund, escrow and State support can earn a better rating than the weakest member would get alone. The hazard is moral hazard and contagion, so each ULB’s repayment obligation and escrow must be kept separate and enforceable.
Tax-free, in principle. If the interest is exempt from income tax in the investor’s hands, the issuer can offer a lower coupon for the same after-tax return, so the exemption is a subsidy to the ULB paid by the exchequer. Tax-equivalent yield = tax-free yield ÷ (1 − t). A 6% tax-free yield to an investor at a 30% marginal rate equals 6 ÷ 0.70 = 8.57% taxable. Whether a given issue is exempt depends on the law in force; the exam tests the principle.
Price and yield. A bond’s price is the present value of its coupons and its face value at the market yield. Face ₹1,000, coupon 8% a year, three years, market yield 10%: price = 80 ÷ 1.10 + 80 ÷ 1.10² + 1,080 ÷ 1.10³ = 72.727 + 66.116 + 811.420 = ₹950.26. When the market yield exceeds the coupon the bond sells at a discount; when yields rise, prices fall. Current yield = annual coupon ÷ price = 80 ÷ 950.26 = 8.42%. For a bullet bond the ULB builds a sinking fund: equal yearly deposits A at rate i that grow to the face value F in n years, A = F × i ÷ [(1 + i)ⁿ − 1]; for ₹10 crore, 8%, five years, A = ₹1.70 crore a year.
9. Loans, repayment and credit rating
ULB loans come from the State government, public financial institutions, banks and, routed through the State, multilateral lenders. The terms to read are principal, interest rate, tenor, any moratorium (a grace period in which only interest is paid) and the repayment pattern: equal instalments (constant payment, with the interest share falling and the principal share rising), equal principal (payments fall as the balance falls) or bullet. Borrowing normally needs State approval and should obey the golden rule.
The equal instalment is A = P × i(1 + i)ⁿ ÷ [(1 + i)ⁿ − 1] for principal P, rate i per period and n periods. Worked example. P = ₹1,000 lakh at 10% a year over 5 years: A = 1,000 × 0.1 × 1.61051 ÷ 0.61051 = ₹263.80 lakh a year. Year 1: interest = 100; principal repaid = 263.80 − 100 = 163.80; balance = 836.20. Year 2: interest 83.62; principal 180.18; balance 656.03. With equal principal (200 a year) the first payment would be 200 + 100 = 300 and the second 200 + 80 = 280. A monthly loan is the same formula with the monthly rate: ₹1,00,000 at 12% a year over 12 months has i = 1% and an instalment of about ₹8,885.
A credit rating is an independent, forward-looking opinion of the relative likelihood that the issuer will service a particular debt obligation in full and on time: its ability and its willingness to pay. It is an opinion on an instrument, not advice to buy or sell, not a guarantee, and not a verdict on whether the project is good. Ratings are kept under surveillance and carry an outlook (positive, stable, negative).
- Economic base: size, growth, income, diversity of the city’s economy.
- Fiscal performance: revenue base, OSR share, buoyancy, operating surplus, collection efficiency.
- Debt profile: existing debt, debt-service burden, DSCR, contingent liabilities, arrears owed to creditors.
- Governance and management: quality of accounts and audit, budgeting, transparency, continuity of leadership.
- Institutional framework: predictability of State transfers and support, borrowing rules, legal strength of the escrow.
- Structure of the issue: escrow, reserve fund, guarantee.
| Grade | Meaning | Consequence |
|---|---|---|
| AAA | Highest safety, lowest credit risk | Finest coupon |
| AA, A | High to adequate safety | Small spread over the top grade |
| BBB | Moderate safety; the lowest investment grade | Wider spread; some investors’ limit |
| BB, B, C | Speculative, rising to very high risk | Many institutions cannot hold it |
| D | In default | Market closed |
10. Recovery mechanisms and pricing of services and infrastructure
Cost recovery has levels: recover operation and maintenance only; recover O&M plus debt service; or recover full cost, including depreciation and a return on capital. The mechanisms are tariffs and metered user charges, service charges tied to the property bill, value capture (betterment levy, development and impact fees, premium floor area, transferable development rights, land pooling) and enforcement (late fee, disconnection, attachment). Leaks matter as much as the tariff: water lost before billing (non-revenue water) and uncollected bills both raise the price an honest consumer must pay.
| Principle | Price set at | Effect |
|---|---|---|
| Marginal cost | Cost of one more unit | Efficient use; but in a utility with heavy fixed cost the marginal cost is below the average, so revenue falls short of total cost |
| Average cost | Total cost ÷ units sold | Breaks even with no subsidy; less efficient than marginal pricing |
| Two-part tariff | A fixed charge plus a charge per unit near marginal cost | Fixed charge recovers fixed cost; the unit charge signals scarcity |
| Increasing block tariff | A low or free first block, higher prices in later blocks | Protects basic use, curbs waste, lets heavy users cross-subsidise |
| Flat rate (unmetered) | The same charge whatever is used | No signal to save; waste is free |
- Worked tariff. Annual cost to recover ₹5.4 crore (O&M plus debt service). Water produced 6 million kL, of which 25% is non-revenue water, so billed volume = 4.5 million kL. Tariff = 5.4 × 10⁷ ÷ 4.5 × 10⁶ = ₹12 per kL. If only 90% of bills are collected, the tariff must be 12 ÷ 0.9 = ₹13.33 per kL. If the loss falls to 10%, billed volume is 5.4 million kL and the tariff falls to ₹10 per kL.
- Lifeline block. First 15 kL a month at ₹4, every kL above at ₹10. A household using 25 kL pays 15 × 4 + 10 × 10 = ₹160.
Cross-subsidy makes some users pay above cost (commercial, industrial, heavy domestic) so that others pay below it. It works only while the heavy payers stay on the network: if they dig their own borehole or run captive supply, the base erodes and the subsidy collapses. A targeted, explicit subsidy to poor households is more transparent and easier to defend.
| Charge | Levied on | Logic | Example |
|---|---|---|---|
| Betterment levy | Owners of land that gains value from a public work | Benefit: take a share of the unearned increment | Land at ₹2,000 per m² rises to ₹3,200 after a road; 50% of the gain on 500 m² is ₹3,00,000 |
| Impact fee | A new development, once, at approval | Cost: pay for the off-site capacity it causes | A ₹12 crore, 10 MLD plant; a development using 2 MLD pays ₹2.4 crore, spread over 800 dwellings: ₹30,000 each |
| User charge | Every consumer, periodically | Use: pay per unit consumed | Water bill per kL |
Key takeaways
- The 74th Amendment gave municipalities constitutional status, but their taxes are those the State legislature authorises (Article 243X); the State Finance Commission, constituted every fifth year, recommends devolution and grants (Articles 243I and 243Y).
- Property tax is rate × net ARV (after the statutory deduction), or rate × capital value, or rate × area × unit value × multipliers; the early-payment rebate applies to the tax, not the base.
- A budget has a revenue account and a capital account; borrow only for assets (the golden rule). Accrual accounting records demand and obligation, shows receivables, liabilities and depreciation; performance budgeting links allocations to outputs.
- Operating ratio = O&M ÷ revenue receipts (lower is better); DSCR = surplus ÷ (interest + principal) (must exceed 1); collection efficiency = collected ÷ demanded, current or overall.
- General obligation bonds rest on the ULB’s whole credit; revenue bonds on one project’s escrowed cash flow. Escrow, reserve funds, guarantees and pooling lift the rating; a rating is an opinion on ability and willingness to pay, not a guarantee. Tax-free interest lowers the coupon; tax-equivalent yield = yield ÷ (1 − t).
- Tariff = cost to recover ÷ billed volume, adjusted for collection; marginal-cost pricing under-recovers where fixed costs are large; lifeline blocks and cross-subsidy protect basic use; betterment levy is benefit-based, impact fee is cost-based.
Practice questions (20)
Attempt each one before opening the answer. Every explanation names the tempting wrong option as well as the right one, because that is where marks are lost.
After the 74th Constitutional Amendment, the taxing power of an Indian municipality is best described as
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Answer: C — limited to the taxes, duties, tolls and fees that the State legislature authorises by law, with a State Finance Commission reviewing devolution
Article 243X lets the State legislature authorise municipal taxes, duties, tolls and fees, and Article 243Y makes the State Finance Commission review municipal finances, so municipal taxes are creatures of State law. The tempting view of unrestricted power confuses constitutional status with a taxing power of the municipality’s own; the Constitution names no fixed share of State revenue.Why do many cities find the annual rental value method a weak property-tax base where old rent-controlled tenancies are common?
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Answer: A — Assessed rents stay frozen far below market rents, so the base lags the market and similar properties are taxed unequally
Tax under this method is the rate times net ARV, and where rent control has frozen rents the ARV is low and differs between otherwise similar properties. Capital value and unit area value delink the base from rent. The distractor about a capital-value map describes the cost of a different method.A city taxes built-up area multiplied by a zone-wise unit value and by multipliers for use, age and construction type, and then applies a rate. This is the
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Answer: D — unit area value method
Unit area value is area × unit value of the zone × multipliers × rate. Annual rental value starts from rent and capital value from market value, neither from area and zone value.A ULB raises a property-tax demand of ₹50 lakh and collects ₹38 lakh during the year. Under accrual accounting its property-tax income for the year is
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Answer: B — ₹50 lakh, with the ₹12 lakh not yet collected shown as a receivable
Accrual accounting recognises income when the right to it arises, which is when the demand is raised, so income is ₹50 lakh and ₹12 lakh sits on the balance sheet as a receivable. The tempting ₹38 lakh is the cash-basis figure.A ULB has a current property-tax demand of ₹50 lakh and arrears of ₹20 lakh. It collects ₹38 lakh in all, of which ₹30 lakh is against the current demand. Its current collection efficiency is
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Answer: D — 60%
Current efficiency uses current collection over current demand only: 30 ÷ 50 = 60%. The figure 54% is the overall efficiency, 38 ÷ 70; 76% wrongly puts the arrears collected into the current numerator; 43% divides current collection by the total demand.A ULB’s operating ratio, defined as operation-and-maintenance expenditure over revenue receipts, is 1.15. This means that
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Answer: A — running costs exceed revenue receipts, so there is an operating deficit and no surplus to service debt
An operating ratio above 1 means O&M cost is more than income, so the revenue account shows a deficit. A surplus corresponds to a ratio below 1. The ratio is not the DSCR, which divides surplus by interest plus principal.A ULB funds a new bulk-water scheme with a bond that is serviced only from that scheme’s tariff collections, held in an escrow account. The bond is best described as
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Answer: B — a revenue bond
A revenue bond is serviced from the net cash flow of the project it finances, usually through an escrow account, with limited recourse to the ULB’s other revenues. A general obligation bond would instead carry the ULB’s whole revenue base. Pooling concerns the number of issuers, not the number of tariff payers.A credit rating assigned to a municipal bond primarily measures
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Answer: C — the relative likelihood that the issuer will service that debt in full and on time, as an independent opinion
A rating is an independent, forward-looking opinion of ability and willingness to pay on time. It is not a price forecast, not advice to buy or sell, and not an appraisal of the project; population and growth are only inputs to it.Five small ULBs, none of which could be rated above the lowest investment grade alone, jointly issue one pooled bond rated higher than any of them. Which feature most directly explains the higher rating?
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Answer: A — A pool-level reserve fund, a separate escrow for each member and State support, which together protect the investors’ claim
Ratings of pooled and structured issues reflect the structure: shared reserves, ring-fenced escrow for each member and credible State backing put investors’ claims ahead of weak members’ finances. Size lowers issue cost but guarantees nothing. A freely drawn common fund invites moral hazard and lowers the rating, and a tax exemption affects the coupon, not the repayment capacity.A water utility has large fixed costs of pipes and treatment plants and a low cost of producing one extra kilolitre. If it charges every user exactly its marginal cost, then
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Answer: C — revenue falls short of total cost, so the gap must be met by a subsidy or by a fixed charge in a two-part tariff
Where fixed costs are heavy the marginal cost lies below the average cost, so pricing at marginal cost collects less than total cost and leaves a deficit. The claim that users no longer face the true cost of an extra unit is backwards: marginal-cost pricing is what makes users face the true cost of an extra unit.A ULB must recover its water costs yet keep basic consumption affordable for poor households, and its large commercial users could drill their own wells. Which design fits best?
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Answer: D — A metered tariff with a small low-priced lifeline block, moderate upper blocks, and an explicit targeted subsidy for poor households
Metering with a lifeline block protects basic use and sends a price signal; keeping upper blocks moderate stops large users from bypassing the network, and an explicit subsidy reaches the poor directly. A flat charge gives no signal and invites waste, a punitive commercial tariff drives users to private wells, and marginal-cost pricing leaves an unfunded gap.Which of the following are features of performance budgeting?
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Answer: A — Allocations are classified by programme and activity rather than only by input; B — Each programme carries output targets and unit-cost norms against which actuals are reported; D — Money is linked to what is delivered, such as tonnes of waste collected or households served
Performance budgeting classifies by programme, sets targets and unit costs, and ties money to output. Justifying every activity afresh each cycle is zero-based budgeting, a different style.Which of the following statements about municipal fiscal ratios are correct?
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Answer: A — A lower operating ratio indicates a healthier operating position; C — The debt service coverage ratio counts both interest and principal due in the year as the divisor; D — Overall collection efficiency includes arrears in the amount demanded, while current efficiency does not
Lower operating ratio is better, DSCR divides surplus by interest plus principal, and overall collection efficiency includes arrears. A higher own-source ratio signals less dependence on transfers, so the statement about dependence is reversed.Which of the following are credit enhancements that can lift a municipal bond’s rating above the issuer’s stand-alone strength?
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Answer: B — An escrow account into which named revenues are paid before any other use; C — A debt service reserve fund holding several months of debt service
An escrow account and a reserve fund both protect debt service ahead of other claims, which lowers investor risk. A higher establishment share squeezes the surplus, and a longer moratorium only defers repayment without strengthening the security.Which of the following are value-capture instruments that recover part of the cost of urban infrastructure from those who gain from land development?
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Answer: A — A betterment levy on owners whose land gains value from a public work; C — Sale of premium floor area above the base permissible floor area ratio
A betterment levy and the sale of premium floor area both capture part of the land value that public investment creates. A per-capita grant is a transfer, not capture, and a metered water charge is a user charge tied to consumption, not to land value.A building has a gross annual rental value of ₹2,40,000. The municipal law allows a 10% deduction from gross ARV for repairs, the general property-tax rate is 12% of net ARV, and a 5% rebate on the tax is given for payment in the first month. The tax, in rupees, payable by an owner who pays in time is ____.
Numerical answer — type the value.
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Answer: 24624
Net ARV = 2,40,000 × 0.90 = 2,16,000. Tax = 2,16,000 × 0.12 = 25,920. Rebate applies to the tax: 25,920 × 0.95 = 24,624. Check: rebate = 1,296 and 25,920 − 1,296 = 24,624. Applying the rebate to ARV first would give a different figure.In a year a ULB has revenue receipts of ₹950 lakh. Its establishment and operation-and-maintenance expenditure together are ₹750 lakh (₹420 lakh and ₹330 lakh). It also pays interest of ₹60 lakh and repays principal of ₹90 lakh. Taking the surplus available for debt service as revenue receipts less establishment and O&M expenditure, its DSCR, to two decimal places, is ____.
Numerical answer — type the value.
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Answer: 1.33
Surplus available = 950 − 750 = 200. Debt service = interest + principal = 60 + 90 = 150. DSCR = 200 ÷ 150 = 1.33. Dividing by interest alone would give 3.33, which ignores the principal; the ratio is above 1, so the surplus just covers the debt service with a modest margin.A ULB borrows ₹1,000 lakh at 10% a year, repayable in five equal annual instalments, the first due at the end of year 1. Taking 1.10⁵ = 1.61051, the principal still outstanding just after the first instalment is paid, in ₹ lakh to two decimal places, is ____.
Numerical answer — type the value.
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Answer: 836.2
Instalment A = 1,000 × 0.10 × 1.61051 ÷ (1.61051 − 1) = 161.051 ÷ 0.61051 = 263.80. Year-1 interest = 10% × 1,000 = 100, so principal repaid = 263.80 − 100 = 163.80 and balance = 1,000 − 163.80 = 836.20. The balance is not 800, which would result from repaying a fifth of the principal.A ULB bond has face value ₹1,000, pays a coupon of 8% a year at the end of each year for three years and is redeemed at face value at the end of year 3. If the market yield is 10% a year, its price, in rupees to two decimal places, is ____.
Numerical answer — type the value.
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Answer: 950.26
Price = 80 ÷ 1.10 + 80 ÷ 1.10² + 1,080 ÷ 1.10³ = 72.727 + 66.116 + 811.420 = 950.26. The price is below face value because the market yield (10%) exceeds the coupon rate (8%); at an 8% yield it would equal 1,000.A water utility must recover ₹5.4 crore a year. It produces 6 million kL a year, of which 25% is lost before billing, and it collects only 90% of the amount billed. The uniform tariff that exactly recovers the cost, in rupees per kL to two decimal places, is ____.
Numerical answer — type the value.
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Answer: 13.33
Billed volume = 6 × 0.75 = 4.5 million kL. Revenue that must be billed = 5.4 crore ÷ 0.90 = ₹6 crore. Tariff = 6 × 10⁷ ÷ 4.5 × 10⁶ = ₹13.33 per kL. Ignoring collection gives ₹12.00, and ignoring both loss and collection gives ₹9.00.