[It should be noted that although the actual steps undertaken by Mirvac may have differed from what appears to have occurred, the end result is the same in that the Excess Profit calculation is substantially carried out on the above bases.]
Whether the IRR referred to in the Agreement is a reference to an 'effective' rate or a 'nominal' rate?
52 In the process of calculating what they considered to be the Excess Profit, Mirvac in effect interpreted the Agreement's reference to a 20% IRR in clause 5(d) to mean a 'nominal' IRR and not an 'effective' IRR.
53 Mr Lonergan provided a detailed explanation of the concepts of nominal rates of return and effective rates of return. Nominal rates do not represent the actual underlying rate of return on a given project or investment. It is a rate of return that is quoted without reference to intra-year compounding, if any were to exist. The effective, or 'real' rate of return takes into account the important component of any intra-year compounding and as such provides an accurate underlying rate of return that is achieved. The effective rate of return can be derived from the nominal rate, if the nominal rate includes a qualifying reference as to the compounding period, eg 20% pa compounding monthly [see Mr Lonergan's first report [58] ff]. Further, the derivation of an annual effective rate of return for multiple projects is a common comparative base for all rates of return [Mr Lonergan's first report at [67]] and in this way, assists a firm or company to compare the economic return on projects.
54 The Agreement, specifically clause 5(d), did not clearly articulate whether the stipulated internal rate of return benchmark of 20% was in reference to an annual effective IRR of 20% or rather to an annual nominal IRR of 20%. In their calculations, Mirvac in effect purported to apply a nominal IRR of 20% [and even in doing so, as Mr Lonergan notes, inaccurately derived a nominal IRR of 20.16% pa, and not 20% pa, during its "adjusting of cash flows" process discussed below].
55 Mr Lonergan's evidence [at [69]], which is accepted, was that in his experience it was standard practice [where the effect is material] for IRRs to be stated in annual effective terms. In the context of Liberty and Mirvac's agreement, Mirvac's budgeted [and actual] cash flows were accounted for on a monthly basis and were subject to periodic compounding [monthly], hence the use of an annual nominal rate of return would not have reflected the cash flow reality of the Project. This is, again, because the annual nominal rate of return assumes that periodic (intra-year) compounding does not occur, whilst the actual cash flows are indeed subject to periodic compounding. Mr Lonergan noted that in the context of the Agreement and proposed property development, the difference between the effective (real) and nominal underlying profitability as derived by the corresponding rates of return would have been material [at [73]]. The finding is that the background knowledge which would reasonably have been available to the parties in the situation in which they were in at the time of the contract, included the fact that on a development such as the one proposed at the Site, there would have been compounding from month to month (i.e. intra-year compounding) if a monthly IRR were calculated, month by month.
56 I proceed to set out below, as extracted from Mr Lonergan's first report at [104], the formulae by which to derive a monthly compounding (monthly) discount rate based on an annual effective IRR of 20% and a monthly discount rate based on an annual nominal IRR of 20%.
Effective Nominal
Annual effective rate = (1 + i ) n - 1 Annual nominal rate = i x n
20% = (1 + i ) 12 - 1 20% = i x 12
1 + 20% = ( 1 + i ) 12 0.20 = i
1.20 = ( 1 + i ) 12 0.20 / 12 = i
= 1 + i 0.16667 or 1.6667% = i
1.015309 = 1+ i
1.015309 - 1 = i
0.015309 or 1.5309% = i