IB Business Management HLTopic 3 — Finance and AccountsPaper 1 & 2HL only~10 min read
Net Present Value
Would you rather have $1,000 today or $1,000 in five years? Everyone picks today — you could invest it, and prices will have risen by then anyway. Net present value is the only appraisal method that takes that obvious fact seriously and puts every future cash flow into today’s money before adding it up.
What you need to know
Money received in the future is worth less than money received today, because of inflation and opportunity cost.
A discount factor shrinks a future cash flow into today’s value. You will be given the factors.
Discounted cash flow = net cash flow × discount factor.
NPV = total discounted cash flows − the initial investment.
A positive NPV means the project is likely to be worthwhile; a negative NPV means it is not.
A higher discount rate means more risk assumed, and it shrinks future cash flows harder.
Why future money is worth less
There are two reasons, and an exam answer should name both.
Inflation. Prices rise, so $1,000 in five years buys less than $1,000 buys now.
Opportunity cost. If you had the money today you could put it in the bank or into another project, and it would have grown by year five.
Discounting does not change the cash the firm will receive. It changes how much that cash is worth for the decision being made today.
Discount factors
You will always be given the factors in the exam, but it helps to see the pattern: every factor is less than 1, they get smaller as the years go on, and they get smaller faster when the interest rate is higher.
Year
4%
6%
8%
10%
1
0.962
0.943
0.926
0.909
2
0.925
0.890
0.857
0.826
3
0.889
0.840
0.794
0.751
4
0.855
0.792
0.735
0.683
5
0.822
0.747
0.681
0.621
Read the table down a column and you see time eating the money. Read it across a row and you see risk doing the same job. A firm choosing a 20% discount rate is saying “this project is risky, so it has to clear a high bar”.
Calculating NPV
Discounted cash flow
net cash flow × discount factor
Net present value
total discounted cash flows − initial investment
WORKED EXAMPLE
NPV of a new machine
Kabir Cycles is considering a machine costing $120,000. Using the 10% discount factors below, calculate the NPV and advise whether the investment is worthwhile. [5]
Year
Net cash flow ($)
10% factor
Discounted cash flow ($)
0
(120,000)
1.00
(120,000)
1
40,000
0.91
36,400
2
38,000
0.83
31,540
3
34,000
0.75
25,500
4
30,000
0.68
20,400
5
26,000
0.62
16,120
Step 1: multiply each year’s cash flow by its factor40,000 × 0.91 = 36,40038,000 × 0.83 = 31,54034,000 × 0.75 = 25,50030,000 × 0.68 = 20,40026,000 × 0.62 = 16,120Step 2: add the discounted inflows36,400 + 31,540 + 25,500 + 20,400 + 16,120 = $129,960Step 3: take off the initial cost129,960 − 120,000 = +$9,960NPV = +$9,960, so the machine is worthwhileWithout discounting, the inflows total $168,000 and the project looks like a $48,000 winner. Discounting cuts that to under $10,000 — still positive, but a much closer decision.
Year 0 always has a factor of 1.00. That cash is being spent today, so there is nothing to discount.
Judging the NPV method
Advantages
Disadvantages
The only method that considers the opportunity cost and timing of money
More complicated to calculate and harder to explain to non-financial staff
Uses all the cash flows across the project’s life
Forecasting cash flows several years ahead is genuinely difficult
Different discount rates can model different levels of risk
Choosing the right discount rate is partly guesswork, and it changes the answer
Gives a clear decision rule: positive is worthwhile, negative is not
Ignores non-financial costs and benefits such as environmental damage
Limitations of investment appraisal as a whole
All three methods share one weakness: every number in them is a forecast. Nobody knows what cash flows a machine will generate in year four.
Managers may lack experience, or may be biased towards a project they proposed.
Incomplete past data makes forecasts imprecise, especially for a new product.
Costs can rise unexpectedly, new competitors can appear, and consumer tastes change.
Economic growth, recession and interest rate changes are all outside the firm’s control.
Non-financial factors are ignored: corporate objectives, staff wellbeing, public relations, and social responsibility.
Structuring a full investment appraisal answer
Calculate whatever the question asks for, showing every step.
State the decision rule: positive NPV, shortest payback, or highest ARR.
Compare the methods if you have more than one figure. They can disagree.
Bring in the case study: cash position, competitors, objectives, stakeholders.
Recommend and justify, and say what would change your mind.
Exam tip
Add a discounted cash flow column to the table you are given. It keeps the working tidy and earns method marks.
Remember to subtract the initial cost at the end — a total of discounted inflows is not the NPV.
Use the exact factors printed in the question, even if they look rounded.
Always finish with a judgement: worthwhile or not, and why.
If NPV is only slightly positive, say so. A small margin means the decision is sensitive to the forecasts.
Being able to calculate is a skill; interpreting the result is what carries the higher marks.
Common mix-up
Forgetting to deduct the initial investment. The most common error on this whole topic.
Discounting year 0. Its factor is 1.00, so the figure does not change.
Dividing by the discount factor. You multiply.
Thinking a higher discount rate makes a project look better. It does the opposite.
Confusing NPV with profit. NPV is the extra value in today’s money, after allowing for the cost of the money.
Treating a positive NPV as a guarantee. It is a positive result from a set of estimates.
Up next: HL Cost Centres and Profit Centres — how large firms break themselves into pieces so they can see where the money is really made.
Want this explained one-to-one?
Book a free session with an experienced IB Business Management tutor and get your trickiest topics made simple.
