Connection: Long-Term Financing & NPV (ADMN 201) ↔ Present Value Measurement (ACC 926)
The Link
ADMN 201 introduces bonds, stock issues, and net present value (NPV) as long-term financing tools. NPV is named but rarely calculated. ACC 926 Module 3 supplies the actual mechanics — present value of a lump sum, present value of an annuity, the discount rate’s effect, and IFRS 13’s fair value hierarchy that the discount rate ultimately rests on.
graph LR A[ADMN 201:<br/>"Use NPV to evaluate<br/>long-term investments"<br/>"Bonds pay coupons"] B[ACC 926 Module 3:<br/>PV/FV mechanics<br/>Annuity formulas<br/>Fair Value hierarchy] A -.depends on.-> B B --> C[Bond pricing:<br/>PV principal + PV annuity coupons] B --> D[Capital budgeting NPV] B --> E[Lease liability PV] B --> F[ARO/decommissioning PV] B --> G[Pension obligation PV]
(diagram saved)
From ADMN 201
“Long-Term Financing — bonds, common stock, preferred stock, retained earnings. Net Present Value used to evaluate whether expected returns exceed cost of capital.” — LongTermFinancing
The principle is named; the formula is rarely supplied. Students get the intuition: a dollar today is worth more than a dollar tomorrow, so future cash flows are discounted.
From ACC 926
Two formulas do most of the work:
PV (lump sum) = FV / (1 + i)^n
PV (annuity) = Pmt × [(1 − (1 + i)^−n) / i]
For uneven cash flows: PV each separately and sum.
For an annuity due (payments at start of period): multiply ordinary annuity result by (1 + i).
See PresentValueMeasurement for full treatment.
Bond Pricing — The Canonical Application
A bond’s issue price is the PV of two cash flow streams:
| Cash flow | Type | PV formula |
|---|---|---|
| Face value at maturity | Lump sum | FV / (1 + i)^n |
| Periodic coupon payments | Ordinary annuity | Coupon × [(1 − (1 + i)^−n) / i] |
Where i = market rate per period, n = number of periods.
| Coupon rate vs. market rate | Issue price |
|---|---|
| Coupon = Market | At par (face value) |
| Coupon < Market | Discount (PV < face) |
| Coupon > Market | Premium (PV > face) |
This is the calculation ADMN 201 references when it mentions “bond yield” but doesn’t show the math.
NPV in Capital Budgeting
NPV = Σ [CFt / (1 + r)^t] − Initial Investment
- NPV > 0 → invest (project earns more than cost of capital).
- NPV < 0 → reject.
- NPV = 0 → indifferent (project earns exactly cost of capital).
ADMN 201’s “evaluate the investment” answer is rigorous only when the cash flows and discount rate are explicit and the math is run.
Where Else PV Shows Up
| Topic | PV use | Course |
|---|---|---|
| Bond pricing | PV principal + PV coupons | ADMN 201 (mention) / ACC 926 (mechanic) |
| Capital budgeting (NPV) | Discount future project CFs | ADMN 201 (mention) / ACC 926 (mechanic) |
| Lease liability (IFRS 16) | PV of lease payments | ACC 926 |
| Notes receivable / payable | At PV when stated rate ≠ market | ACC 926 |
| Asset retirement obligation | PV of decommissioning costs | ACC 926 |
| Pension obligation (DB) | PV of promised future payments | ACC 926 |
| Impairment value-in-use (IFRS) | PV of expected future cash flows | ACC 926 |
Why This Matters
ADMN 201 questions often ask “should we invest?” without giving you cash flows or a rate. The intuition-only answer works.
ACC 926 questions provide the cash flows and rate and demand the calculation. They also use PV in places ADMN 201 never visits — leases, pensions, ARO, impairment.
The discount rate itself is also non-trivial: under IFRS 13, it must reflect market participant assumptions. The Fair Value hierarchy (Levels 1/2/3) ranks how reliably the rate is observed.
Related Concepts
- LongTermFinancing
- InvestmentVehicles
- SecuritiesMarkets
- PresentValueMeasurement
- Investments — bonds at amortized cost use effective interest, which is PV-based
- IFRSvsASPE