GSOE9830 Chap.7 Nominal and Real Project Analysis
Nominal and Real Project Analysis
Nominal analysis includes expected inflation in cash flows and uses a nominal discount rate. Real analysis expresses cash flows in constant purchasing-power terms and uses a real rate. When the conversion basis is consistent, the two routes produce the same NPV.
This chapter distinguishes inflation from compounding and deflation from discounting, applies the exact Fisher relationship and diagnoses the double-counting caused by mixed bases. Deflating a future amount changes its purchasing-power unit but does not move it to time zero, so real discounting is still required. The exact Fisher conversion preserves equivalence more reliably than subtracting inflation from a nominal rate.
Item-specific escalation can also contain relative-price movement that remains after general inflation is removed. A two-route reconciliation exposes a mixed model because both consistent routes should reach the same present value apart from rounding.
What this chapter covers
- 01
Nominal cash flow
- 02
Real cash flow
- 03
Inflation
- 04
Deflation
- 05
Fisher relation
- 06
Basis consistency
Worked example · free
Reconcile nominal and real present values
- +1Nominal PV is $121,000 divided by 1.15 squared, or $91,493.38.
- +1Real cash flow is $121,000 divided by 1.10 squared, or $100,000.
- +1Exact real rate is 1.15 divided by 1.10 less one, or 4.5455%.
- +1Discounting the real flow gives the same $91,493.38 present value.
Key terms
- Nominal cash flow
- A forecast stated in money-of-the-day amounts including expected price change.
- Real cash flow
- A forecast stated in constant purchasing-power units.
- Nominal rate
- A return containing both real return and expected inflation.
- Real rate
- A return measured after removing the effect of inflation.
Nominal and Real Project Analysis FAQ
Is discounting the same as deflating?
No. Discounting compares future money with an alternative at time zero. Deflating converts future money into purchasing-power units. The calculations can look similar while serving different purposes.
Can I subtract inflation from the nominal rate?
That is an approximation. Use the exact Fisher conversion when values are material: one plus nominal equals one plus real multiplied by one plus inflation.
Why should nominal and real NPVs match?
When the same inflation basis converts both cash flow and rate, they represent the same project in different units. A mismatch usually signals inconsistent deflators or rounding.
Exam move
Label every cash-flow and rate input as nominal or real before substitution. Nominal cash flows are money-of-the-day amounts that include expected price change. Real cash flows are expressed in base-date purchasing power. A nominal rate includes inflation compensation, while a real rate does not. Draw a box around each pairing so escalated cash cannot be discounted at a real rate by accident.
Separate escalation, deflation and discounting. Escalation moves a price estimate to the money expected at a future date. Deflation removes general inflation from that future money amount but leaves it located at the future date. Discounting then converts the dated nominal or real amount to time-zero value. Practise saying what each operation changes: units, date or both.
This verbal check prevents deflation from being mistaken for present value. Use the exact Fisher relation when converting rates. Calculate one plus the nominal rate divided by one plus inflation, then subtract one. Retain enough decimal places to reconcile the two valuation routes.
The shortcut nominal minus inflation can be used as a reasonableness estimate for small rates, but label it approximate and never substitute it when the question expects exact equivalence. Value the same receipt twice. First, discount the nominal amount at the nominal rate. Second, deflate the receipt to a real amount and discount it at the exact real rate for the same number of periods.
The present values should agree apart from rounding. If they do not, inspect the exponent, valuation date, rate conversion and whether inflation was removed twice. Keep relative-price effects separate from general inflation. Materials, labour, energy and selling price can grow at rates different from the general index. A real model may still contain real growth or decline in an item.
Do not strip out a genuine relative change merely because the final series is expressed in constant purchasing power. Practise diagnosing mixed models. Take a schedule with escalated revenue and cost discounted at a real rate, identify the double-counting direction and repair the entire basis. Either retain nominal flows and use a nominal rate or deflate every flow consistently and use the real rate.
Changing only the headline discount rate is not enough when cash-flow components remain mixed. Maintain an error log for inflation confused with investment compounding, deflation treated as discounting, Fisher relation rearranged incorrectly, real rate rounded too early, different valuation dates and item-specific escalation erased.
Before the test, perform one two-route reconciliation without notes and explain why equal NPVs do not imply equal printed cash flows. Finish every answer by naming the basis and stating that consistency, rather than a preference for nominal or real presentation, preserves value.