Discounted cash flow.[check] This checklist describes, with examples, the principles for calculating the Discounted Cash Flow (DCF DCF See: Discounted Cash Flows ) for any capital investment for a number of years ahead. The technique is of critical importance when the capital to be invested is significant or the term of the investment is more than two or three years. Definition Discounted cash flow is primarily a method of capital investment appraisal investment appraisal evaluation of the potential profitability of a proposed investment. . Central to it is the concept that money paid out in the future is really less costly than money paid out today, and that money received in the future is less valuable than money received today. This is unlike some other investment appraisal methods such as 'payback' and 'return on investment', and most people think that it makes it superior to them. It recognises that there is a value in holding money. This should be readily apparent. It is why, for example, banks pay interest on money deposited with them and charge interest on money borrowed from them. Future cash receipts and payments must be discounted to bring them back to present value. The longer the wait before money is received or a payment is made, the bigger the discounting factor that must be applied. Action checklist 1. Extracts from interest rate tables Interest rate tables are widely available. The following extracts indicate the principles and will be used in the examples in this checklist. The interest factors have been rounded and so the figures used in the examples will also be rounded. A greater degree of accuracy can be obtained by using tables that go to a higher number of decimal places decimal place n. The position of a digit to the right of a decimal point, usually identified by successive ascending ordinal numbers with the digit immediately to the right of the decimal point being first: . 2. Present value explained A simple example will show how, if an interest rate of 10% is used, [pounds sterling]1,000 becomes [pounds sterling]1,210 in two years and [pounds sterling]1,331 in three years.</p> <pre> [pounds sterling] Present value 1,000 Year 1 (10% x 1,000 [pounds sterling]) 100 1,100 Year 2 (10% x 1,100 [pounds sterling]) 110 1,210 Year 3 (10% x 1,210 [pounds sterling]) 121 1,331 [pounds sterling] </pre> <p>A glance at the interest tables shows that a factor of 0.75 must be used, assuming an interest rate of 10%, to bring 1,331 [pounds sterling] received in three years' time to present value. After allowing for rounding, [pounds sterling]1,331 x 0.75 = 1,000 [pounds sterling]. There is a convenient formula that may be used as an alternative to interest rate tables: Present Value = future sum/[(1 + r).sup.n] where r is the rate of interest expressed as a decimal Meaning 10. The numbering system used by humans, which is based on 10 digits. In contrast, computers use binary numbers because it is easier to design electronic systems that can maintain two states rather than 10. (0.10 for 10%), and n is the number of years. We can prove the calculation by using the formula as a substitute for the above three-stage calculation: 1,000 [pounds sterling] = 1,331/[(1 + 0.1).sup.3] The formula may be particularly useful if we wish to do a complicated calculation involving a lengthy period. Suppose, for example, we want to know, assuming an interest rate of 13.4%, the present value of 16,784 [pounds sterling] to be received in 14 years' time. The calculation is: 2,886 [pounds sterling] = 16,784/[(1 + 0.134).sup.14] As an aside, this is a compelling example of the effect of compound interest. It could also serve as a thought-provoking Adj. 1. thought-provoking - stimulating interest or thought; "a challenging hypothesis"; "a thought-provoking book" challenging stimulating - rousing or quickening activity or the senses; "a stimulating discussion" illustration of how it may be necessary to build up a large capital sum at a future date to fund a comfortable retirement as measured in today's money. 3. A practical example of an investment decision The principles can best be illustrated with a practical example. It is essential that a factory machine be immediately replaced, and three options are being considered. Machine A will cost [pounds sterling]100,000 and is expected to have a trade-in value trade-in value trade n → Gebrauchtwert m after four years of [pounds sterling]15,000. It will achieve operating savings of [pounds sterling]35,000 in each of the four years. Machine B will cost [pounds sterling]80,000 and is expected to have a trade-in value after four years of [pounds sterling]30,000. It will achieve operating savings of [pounds sterling]29,000 in each of the four years. Machine C will cost [pounds sterling]140,000 and is expected to have a trade-in value after four years of [pounds sterling]82,000. It will achieve operating savings of [pounds sterling]38,000 in each of the four years. It will be noticed that over the four-year period the undiscounted cash flow consequences are:</p> <pre> Machine A 55,000 [pounds sterling] favourable Machine B 66,000 [pounds sterling] favourable Machine C 94,000 [pounds sterling] favourable </pre> <p>On this basis Machine C is the best buy, but let us see what happens if the cash receipts are discounted. We will assume that a discount factor of 16% is appropriate, and to keep the calculations as simple as possible we will assume (rather unrealistically) that all the savings are made at the end of each year. The calculations are as follows:</p> <pre> Machine A [pounds sterling] Expenditure now 100,000 Less year 1 savings (discounted) 30,100 69,900 Less year 2 savings (discounted) 25,900 44,000 Less year 3 savings (discounted) 22,400 21,600 Less year 4 savings (discounted) 19,250 2,350 Less trade-in value (discounted) 8,250 (5,900) Machine B [pounds sterling] Expenditure now 80,000 Less year 1 savings (discounted) 24,940 55,060 Less year 2 savings (discounted) 21,460 33,600 Less year 3 savings (discounted) 18,560 15,040 Less year 4 savings (discounted) 15,950 -910 Less trade-in value (discounted) 16,500 (17,410) Machine C [pounds sterling] Expenditure now 140,000 Less year 1 savings (discounted) 32,680 107,320 Less year 2 savings (discounted) 28,120 79,200 Less year 3 savings (discounted) 24,320 54,880 Less year 4 savings (discounted) 20,900 33,980 Less trade-in value (discounted) 45,100 (11,120) </pre> <p>It will be seen that after discounting at 16% a different result is obtained. On this basis Machine B is the best, but before leaving the example it is worth reworking the figures using a different discount factor. The following calculations are based on 12%.</p> <pre> Machine A [pounds sterling] Expenditure now 100,000 Less year 1 savings (discounted) 31,150 68,850 Less year 2 savings (discounted) 28,000 40,850 Less year 3 savings (discounted) 24,850 16,000 Less year 4 savings (discounted) 22,400 -6,400 Less trade-in value (discounted) -9,600 (16,000) Machine B [pounds sterling] Expenditure now 80,000 Less year 1 savings (discounted) 25,810 54,190 Less year 2 savings (discounted) 23,200 30,990 Less year 3 savings (discounted) 20,590 10,400 Less year 4 savings (discounted) 18,560 -8,160 Less trade-in value (discounted) 19,200 (27,360) Machine C [pounds sterling] Expenditure now 140,000 Less year 1 savings (discounted) 33,820 106,180 Less year 2 savings (discounted) 30,400 75,780 Less year 3 savings (discounted) 26,980 48,800 Less year 4 savings (discounted) 24,320 24,480 Less trade-in value (discounted) 52,480 (28,000) </pre> <p>This gives a different result. It is practically a dead heat between Machine B and Machine C, with Machine C having a very small advantage. The different result powerfully illustrates the importance of the discount rate selected. The main reason for the different result is that a higher proportion of Machine C's cash inflow in·flow n. 1. The act or process of flowing in or into: an inflow of water; an inflow of information. 2. comes at the end. The lower discount rate results in this having more weight. 4. An important consideration not revealed by discounted cash flow DCF does not take account of the amount of capital tied up. For example, if a 12% discount factor is used, Machine C appears very marginally mar·gin·al adj. 1. Of, relating to, located at, or constituting a margin, a border, or an edge: the marginal strip of beach; a marginal issue that had no bearing on the election results. 2. to be the best choice. However, an extra [pounds sterling]60,000 is tied up compared with Machine B, and unless it has a clear advantage it may well be rejected re·ject tr.v. re·ject·ed, re·ject·ing, re·jects 1. To refuse to accept, submit to, believe, or make use of. 2. To refuse to consider or grant; deny. 3. for this reason. 5. The choice of discount factor to be used The example illustrates that this can make a significant difference, but unfortunately there are no absolute rules, and each situation should be assessed on its merits The strict legal rights of the parties to a lawsuit. The word merits refers to the substance of a legal dispute and not the technicalities that can affect a lawsuit. A judgment on the merits is the final resolution of a particular dispute. MERITS. . A good starting point Noun 1. starting point - earliest limiting point terminus a quo commencement, get-go, offset, outset, showtime, starting time, beginning, start, kickoff, first - the time at which something is supposed to begin; "they got an early start"; "she knew from the is the cost of capital or borrowing. If a company is paying 10% interest on its overdraft A check that is drawn on an account containing less money than the amount stated on the check. The term overdraft is also used in reference to the condition that exists when vouchers , then this is the starting point, but of course it is not usually possible to be certain what the cost of borrowing will be in future years. Many people like to feed in a factor that reflects the scarcity Scarcity The basic economic problem which arises from people having unlimited wants while there are and always will be limited resources. Because of scarcity, various economic decisions must be made to allocate resources efficiently. of capital and borrowing. For example, an overdraft rate of 10% is only of marginal (jargon) marginal - 1. Extremely small. "A marginal increase in core can decrease GC time drastically." In everyday terms, this means that it is a lot easier to clean off your desk if you have a spare place to put some of the junk while you sort through it. 2. relevance if the bank is unwilling to lend. Perhaps an extremely sound proposal is being evaluated, but it is competing with other extremely sound proposals for a limited supply of funds. Some managers like to use a high factor to make each project compete and very clearly justify itself. In practice the discount factor is often chosen by a mixture of scientific calculation and subjective subjective /sub·jec·tive/ (sub-jek´tiv) pertaining to or perceived only by the affected individual; not perceptible to the senses of another person. sub·jec·tive adj. 1. judgment. It is an important and complex subject, but it is outside the remit To transmit or send. To relinquish or surrender, such as in the case of a fine, punishment, or sentence. An individual, for example, might remit money to pay bills. TO REMIT. To annul a fine or forfeiture. 2. of this brief checklist. Useful reading Determining value: valuation models and financial statements, Richard Barker For other persons of the same name, see Richie Barker. Richard Ian Barker (born 30 May 1975 in Sheffield, England) is an English footballer, who currently plays for Hartlepool United. Harlow Harlow, city (1991 pop. 79,150) and district, Essex, E England. Harlow was designated one of the new towns in 1946 to alleviate overpopulation in London. It grew rapidly to become a significant residential and industrial city. , Financial Times Prentice Hall Prentice Hall is a leading educational publisher. It is an imprint of Pearson Education, Inc., based in Upper Saddle River, New Jersey, USA. Prentice Hall publishes print and digital content for the 6-12 and higher education market. History In 1913, law professor Dr. , 2001 Investment appraisal: a managerial approach, Richard Ri·chard , Joseph Henri Maurice Known as "Rocket." 1921-2000. Canadian hockey player. A right wing for the Montreal Canadiens (1942-1960), he led his team to eight Stanley Cup championships and was the first player to score 50 goals in a Pettinger Basingstoke Basingstoke (bā`zĭngstōk), city (1991 pop. 73,027), Hampshire, S central England, on the North Downs. Formerly a market town trading in silk and woolens, it has developed several industries, including the manufacture of agricultural : MacMillan Macmillan, river, c.200 mi (320 km) long, rising in two main forks in the Selwyn Mts., E Yukon Territory, Canada, and flowing generally W to the Pelly River. It was an important route to the gold fields from c.1890 to 1900. , 2000 Investment appraisal for non financial managers: a step by step guide to making profitable decisions, Kate n. 1. (Zool.) The brambling finch. Moran Moran equitable councillor to King Feredach. [Irish Hist.: Brewer Dictionary, 728] See : Justice Institute of Management London London, city, Canada London, city (1991 pop. 303,165), SE Ont., Canada, on the Thames River. The site was chosen in 1792 by Governor Simcoe to be the capital of Upper Canada, but York was made capital instead. London was settled in 1826. , Prentice Hall, 2000 Interest rate Year 10% 12% 14% 16% 1 .91 .89 .88 .86 2 .83 .80 .77 .74 3 .75 .71 .67 .64 4 .68 .64 .59 .55 |
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