In
101 T.C. 455">*456 SUPPLEMENTAL FINDINGS OF FACT AND OPINION
COHEN,
In our prior opinion, we rejected petitioner's appraiser's value, $ 683,306, and accepted respondent's determination that the value of the reserves was $ 930,839.76. Each party, in accordance with standard appraisal techniques, used actual prices in calculating the projected net cash-flow over the life of the property and then adjusted that calculation to arrive at a value for the reserves in place.
The Court of Appeals, however, concluded that we erred in accepting an erroneous method of valuation by the Commissioner's expert focusing on "the actual sales prices as of the date of sale in his valuation."
consider evidence premised on a method of valuation starting with the prechange value of the reserves reduced to possession and sold during the interim period from the date of death to the alternate valuation date. While the Estate's evidence generally following such an approach is persuasive, as a reviewing court we do not make a determination that this evidence of the Estate on this record must be accepted. On remand, the Tax Court should reconsider the valuation issue concerning the reserves produced and sold during the interim period "to determine the in-place value of the oil and gas produced as of the dates of severance" and evidence showing an "appropriate discount factor" to be applied.
Pursuant to the direction of the Court of Appeals, additional expert testimony was taken. Each party has argued in the alternative for two different values. Petitioner now contends that the value of the subject property as of the alternate valuation date was either $ 583,765 or $ 373,664. Respondent now contends that the correct value was either $ 931,664 or $ 869,605.53.
ULTIMATE FINDINGS OF FACT
The prediscount fair market value of the reserves in place as of the date of decedent's death, but extracted and sold during the interim period from the date of death to the alternate valuation date, was approximately $ 935,000.
An appropriate discount factor to be applied for risk under these circumstances is .93. The fair market value to be included within the gross estate as of the alternate valuation date is thus1993 U.S. Tax Ct. LEXIS 70">*74 $ 869,600.
OPINION
Before discussing the expert testimony presented at the further trial in this case, we review the authorities cited by the Court of Appeals and in our prior opinion and set out the differences between the parties as to the results reached under those authorities.
In
In this case, each party has valued the subject property by considering the actual net proceeds of approximately $ 980,000 received from sale of the extracted oil and gas during the interim period. Their first area of disagreement, however, is in the manner of allocating those proceeds to change in the value of property, on the one hand, or income from the property, 1993 U.S. Tax Ct. LEXIS 70">*76 on the other.
In
The Court of Appeals for the Tenth Circuit,
At the further trial in this case, petitioner presented the testimony and report of F. Doyle Fair (Fair), its expert in the first trial, and James L. Houghton (Houghton), a lawyer and certified public accountant and former tax partner for Ernst & Young.
Fair's second report resulted in a figure lower than that set forth in his report at the first trial because of two adjustments. First, Fair's second report was based on volumes of oil and gas that were actually sold, whereas the earlier report was based on anticipated sales volumes. Second, Fair adjusted the number of days considered in a particular time frame from 34 to 29. Neither Fair nor petitioner made any change in the claimed discount for risk that they relied on and we rejected in our prior opinion. The Court of Appeals for the Tenth Circuit did not expressly comment on that portion of our prior opinion, in which we stated:
Where the appraiser is only attempting to determine the in-place value of the oil and gas reserves sold on a daily basis during the 6-month period between1993 U.S. Tax Ct. LEXIS 70">*78 the date of a decedent's death and the alternate valuation date, the risks to be considered in the valuation are not the same as when the reserves to be produced and sold over the life of the property are valued. We believe that Fair erred by failing to account for these differences.
* * *
By applying a risk reduction factor that increases with time, petitioner has acknowledged that the projected value of the reserves to be severed at the end of the economic life of the property would decrease over time. In valuing reserves as of the date of severance, however, petitioner has applied the same risk reduction factor to each quantity of reserves, regardless of when the quantity is severed. Petitioner disregards the purpose and function of the risk reduction factor, which is to offset the uncertainties inherent in projecting future income and expenses over the life of the property. The risks and uncertainties in valuing a particular quantity of in-place reserves to be produced on a daily basis are negligible, and the risk reduction factor should be adjusted to reflect this fact. If the reduction is not adjusted, the reserves to be severed as of the date of valuation are undervalued. 1993 U.S. Tax Ct. LEXIS 70">*79 In this case, the price changes actually occurring presumably reflect factors that would have been covered by a risk reduction adjustment.
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101 T.C. 455">*460 In other words, Fair persists in applying a methodology that might be appropriate if a reserve being valued were to be extracted over an indefinite time in the future whereas, applying the methodology mandated in
Houghton similarly assumed discounts and rates of return that would, according to his testimony and report, represent common methodology in appraising mineral properties. They did not, however, take account of the minimal daily uncertainty over a 6-month known time frame. He asserted that the 1993 U.S. Tax Ct. LEXIS 70">*80 percentage discount for risk "usually ranges between 25% and 40% for proved producing reserves." His calculations assumed a rate of return of 25 percent.
Testing the reasonableness of petitioner's experts' assumptions, respondent's counsel inquired whether either of them would advise a seller to sell the interest to be valued for the amount set forth in the opinion of petitioner's experts. It was apparent from their responses that neither witness would advise a seller to sell at either value determined by petitioner's experts. Thus, argues respondent, neither reflects fair market value. Respondent also criticizes Houghton's report as treating oil and gas properties as equivalent to interest-bearing assets, such as the principal amount of a note that bears a particular rate of interest. The reasoning of the Supreme Court in
We agree with respondent's criticisms of petitioner's experts. Neither of their appraisals appears reasonable in allocating the cash proceeds to sale of capital, on the one hand, or return on capital, on the other. 1993 U.S. Tax Ct. LEXIS 70">*81 Only the latter is excludable from the gross estate as of the valuation date.
At the second trial, respondent presented the testimony of Forrest A. Garb (Garb), a qualified petroleum consultant, and Von B. Pilcher (Pilcher), the professional engineer who had testified for respondent at the first trial. Garb determined 101 T.C. 455">*461 that the in-place value of the interim production was $ 931,664. Garb's report explained:
This value considers the actual net revenue received for the produced oil and gas during the interim period. A reduction factor of 5% is assigned to account for any slight uncertainty as of the date of severance to a forecast of revenue for that date's severed production. The uncertainty on the "in-place" value as of the date of severance, for production about to be severed, would be small. This is especially true when the forecast of production is from more than 300 separate proved developed producing properties having established production performance trends, some of which have expected lives of over 20 years. The factor is for the slight uncertainty which might exist on the date of severance and is much less than the factor appropriate for a 20 year forecast. 1993 U.S. Tax Ct. LEXIS 70">*82 * * *
Conventional wisdom dictates that estimates of near term events are more accurate than estimates for events which will occur many years in the future. It is therefore obvious that a reserve produced in the near term has less uncertainty than a reserve produced many years in the future. This uncertainty is independent of the time value of money discount factor.
With reference to the time value of money adjustment used by the other experts, Garb stated:
The "in-place" value for the interim production presented in this study is a value which reasonably accounts for any minor uncertainty associated with oil and gas production and resulting revenues valued on the date of severance. The valuation, because it is on the date of severance, ignores the time value of money and any discounting which would be applied to revenues received in the future. To comply with the tax code, the production for each date of severance is valued as of that date, therefore no discount for delayed income is considered. This is slightly different than normal industry standards for estimating the FMV [fair market value] of a revenue stream.
Garb's analysis, however, did not allocate any value to1993 U.S. Tax Ct. LEXIS 70">*83 the income earned during the 6-month period, as distinguished from the capital exchanged, and thus does not fully comply with the requirements of
Pilcher was the only expert in the second trial who both (1) considered the time value of money and thus attributed a reasonable amount of the estate's receipts for the extracted minerals to income earned over the 6-month period and (2) used a reasonable adjustment for uncertainty. Pilcher used the future cash-flow projections from Fair's valuation of the properties as of the alternate valuation date and the 27-percent internal rate of return used in Fair's appraisal. He then 101 T.C. 455">*462 calculated an uncertainty factor based on the difference between the 27-percent internal rate of return and a 10-percent internal rate of return, the latter being 1 percent above the prime rate in effect during the valuation period. This appropriately allowed the greater return expected of highrisk ventures but also made an adjustment for the reduced risk during the 6-month interim period. Pilcher determined an in-place value of $ 869,605.53 by multiplying1993 U.S. Tax Ct. LEXIS 70">*84 the 6-month net cash-flow of $ 980,698.47 both by the present value discount factor of .953463 and a risk or uncertainty discount factor of .93.
Pilcher thus was the only expert, in our view, who complied with the direction of the Court of Appeals to consider the "pre-change value of the reserves reduced to possession and sold during the interim period from the date of death to the alternate valuation date" and "an 'appropriate discount factor'" to be applied.
To reflect the foregoing,