Net Present Value (NPR) (HL IB Business Management)

Revision Note

Using the Net Present Value (NPV)

  • The Net Present Value (NPV) takes into account the effects of interest rates and time
  • It recognises
    • The fact that that money received in the future is often worth less than money received today (inflation)
    • The opportunity cost of not having the money available for other uses
       
  • To calculate the Net Present Value of an investment, the value of all future net cash flows in today’s terms need to be calculated first and then discounted using a table

  

  • The cost of the initial investment is deducted from the total of the discounted net cash flows
    • If future net cash flows minus the initial investment are positive, then the investment is likely to be worthwhile
    • If the sum of future net cash flows minus the initial investment is negative, then the investment is unlikely to be worthwhile

  • Discounted cash flows are calculated using discount tables, which allow future cash flows to be expressed in today’s terms
     

Table: Discount factors at Different Rates of Interest

ibdp-business-management-discount-table

Worked example

Brownsea Sightseeing Tours Ltd is considering purchasing a new pleasure craft at a cost of £325,000.  It expects the investment to achieve the following net cash flows over five years of operation

 

Year Net cash Flow (£) 10% Discount Factor (2dp)
0 (325,000) 1.00
1 110,000 0.91
2 90,000 0.83
3 75,000 0.75
4 65,000 0.68
5 60,000 0.62

  

Using the 10% discount factor calculate the NPV of the leisure craft investment. (4 marks)

 

Step 1 - Calculate the discounted cash flow for each year by multiplying the net cash flow by the discount factor

3-3-2-net-present-value-of-discounted-cash-flow

(2)

Step 2: Add together the discounted cash flow values for each year, including Year 0   

open parentheses £ 325 comma 000 close parentheses space plus space £ 100 comma 100 space plus space £ 74 comma 400 space £ 56 comma 250 space plus space £ 44 comma 200 space plus space £ 37 comma 200

equals space left parenthesis £ 12 comma 550 right parenthesis       

(1)

The Net present Value of the investment is -£12,550

This negative outcome suggests that the investment in the new pleasure craft is not financially worthwhile         

(1)

 
Advantages and Disadvantages of the Net Present Value Method


Advantages


Disadvantages


  • Considers the opportunity cost of money
  • Discount tables are used to calculate forecast future values of net cashflows

  • Businesses may choose different discount tables (20%, 10%, 5% etc)  to adjust the level of risk involved in a project
    • Can consider a range of scenarios

  • More complicated to calculate and interpret than other methods
     
  • Accurately forecasting future cash flows is complex

  • Choosing an appropriate discount rate can be 'hit and miss'

  • Ignores non-financial benefits or costs e.g environmental damage

Exam Tip

Being able to calculate the payback period, ARR or NPV of an investment is a key quantitative skill

More important, though, is interpreting the outcome of your calculation and using it to make a judgement

  • Is an investment worthwhile?
  • Which investment is the most profitable?
  • The costs of which investment will be recouped first?

Qualitative factors should be considered alongside calculations - review case study material carefully to select relevant information

Limitations of using Investment Appraisal

  • Each techniques relies upon forecasted future cash flows which may lack accuracy
    • Managers may lack experience or may be biased towards a particular investment
    • Incomplete past data may make forecasting imprecise or mean that confidence in the data is limited
       
  • Longer-term forecasts used to predict returns on investments may be inaccurate for a variety of reasons
    • Unexpected increases in costs
    • The arrival of new competitors
    • Changes in consumer tastes
    • Uncertainties arising as a result of economic growth or recession

  • Non-financial factors are ignored
    • Business finances and availability of external finance to fund the investment
    • Overall corporate objectives 
    • Potential for positive public relations or meeting social responsibilities

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