delivered the opinion of the Court.
This certiorari, which we allowed because of its importance, involves problems of proving a lessor’s'claim for damages for rejection of its lease in a proceeding under § 77 of the Bankruptcy Act. The lease, demising respondent’s street railway properties and equipment in Connecticut for 999 years from 1906, was rejected on December 18, 1935, by petitioners, the trustees • of the debtor, the New York, New Haven and Hartford Railroad Company.1 The annual rent reserved at rejection was close to $1,050,000 with tax, sinking fund, interest *552aricTbond retirement-adjustments, which are not material to our discussion.
After rejection 'the lessor filed a claim for damages,, under subsection (b) of § 77. The applicable provisions are as follows:
“. . . In case an executory contract or unexpired lease of property shall be rejected, . : . any person injured by -such- . . . rejection shall for all purposes- of this section be deemed to be a creditor of the debtor to the extent of the actual damage or injury determined in accordance with principles obtaining in equity proceedings. . .
The claim was allowed, limited to the damages accrued or which might accrue before the winding up of the reorganization. This Court on a previous certiorari2 disapproved that measure of damages and laid down as the measure “the present value of the rent' reserved less the present rental value of the remainder of the term.” On remand to the district court,-' the lessor undertook to prove damages according to the approved measure by introducing evidence of the present value (January 1, 1936), at four per cent discount, of the rent reserved under* the lease for forty years only (to December 31, 1975). This amounted to around twenty million dollars. For a corresponding period evidence of rental value similarly discounted was offered. The difference was submitted as the damages for rejection. No proof of rent reserved' or rental value beyond the forty years was offered as respondent -was advised such proof would be too uncertain to carry conviction.
. To prove' rental value, respondent offered evidence of .annual earnings.for each of the forty years: These earn-ipgs were made up of the earning power of a sinking fund, plus an adjustment- of the annual payments re*553quire'd by the lease to be made to the sinking fund, plus' the operating profits of the transportation properties. Eor 1936-1938 the actual earnings were used. This was the period after rejection and before trial when, the demised . properties were operated by or for respondent. For 1939-1975 earnings were estimated by alternative calculations of average annual earnings, before federal taxes, over four prior base periods each ending December 31, 1938: (1) the preceding year and á half of 100% bus operation; (2) the three years of actual operation, following rejection, during which the transition from trolleys to buses had been completed; (3) ten years, 1929-193^, the accoúnts for which were partly reconstructed because before the reorganization the demised premises were utilized,in conjunction with others not involved here; and, finally, . (4) fourteen years, 1925-1938.3 The earning power of the sums in the sinking fund and the annual ■payments to it were assumed to be fixed. To get the rental value, these two fixed sums were added to the. operating- profit calculated from each of the four base periods. Since earnings were erratic, varying from' $78,-000 to $775,000 in the fourteen-year period, the annual rental value for the future varied according to the base used. . Likewise, the damages calculated for forty years showed a range of from nine and a, half to thirteen and a third million. It is substantially correct to say that no evidence in disagreement with the base figures was, produced for . the petitioner. . Nor did'petitioner introduce any,evidence on its part to establish, a different amount of damages.
The district court refused to find future earnings by projecting: the average earnings of any of the four base *554periods. It pointed out that in its view the 100% bus operation was too new and had coincided with too great a shrinkage of earnings to serve as a safe guide. The data for 1936rl938 were deemed unconvincing because they were derived in a substantial measure from trolley operations, now abandoned, and because the period was one of economic depression. The ten and the fourteen-year bases were disapproved as irrelevant because of-trolley operation, and as speculative because of the impossibility of forecasting the relative frequency of profitable and unprofitable years from this past experience. The court pointed out that no evidence, of transportation experts Or surveys was offered to assist it-in appraising possibilities of the development of the territory, of increased operating efficiency or the effects of consolidation.4 Furthermore, the trial court was of the view that even with acceptable proof of annual rental value for forty years, or other period materially shorter than the unexpired term qf the lease, no conclusion could be reached as. to the present rental value of the remainder of the term, because that portion of the term beyond the reach of the proof offered might have profits or losses which would upset'the calculations for earlier years. The district court then struck out the accrued damages of more than a million dollars allowed on the former hearing and set aside the provision of the same order permitting accrued damages to be proven- up to the date of final hearing.
The circuit court of appeals was of the view that “in effect, the law for purposes of damages treats a lease with 969 more years to run as if it were only for a term within the reach of fairly definite forecast.” 109 F. 2d 568, 571. It thought that the evidence of earnings over the four*555teen-year experience was adequate to enable it to draw a reasoned conclusion as to probable earnings for eleven years. For the three years, 1936-1938, these were known; for the other eight years, the average annual earnings for the preceding 14-year period were ádopted. An allowance of the damages at time of rejection was made in the amount of $4,411,837.61.5
The certiorari brings here the questions of whether proof of damages for a portion of an unexpired lease is sufficient to fix damages for the whole remaining term and whether the circuit court of appeals may allow damages on the sole basis of past earnings, evidence which, the district judge has held does not satisfy his mind.
First. Litigation over a 999-year lease naturally brings up incidents difficult to reconcile with known and established legal formulae. Since conveyancers and business men alike have long utilized the characteristic provisions of leases to accomplish transfers of rights in real estate for extensive periods without payment of the purchase price, such long term agreements have become á well recognized legal implement, especially in corporate realty transactions and railroad consolidations and mergers. Its reservations of rent, , provisions for taxes and operation are firmly embedded in our financial, corporate, and title structures.6 Business and government alike are ac*556customed to fix the rental value of property for long term leases and the value of the lease over and above the rent reserved at -varying periods of the term.7 In pending railroad reorganizations, themselves, appraisals of rental values must be. considered.8 That such determinations recur with some frequency demonstrates their practical possibility.
The petitioner contends, however, that evidence of rental value for a 40-year period, no matter how certain it may be, is inadequate to enable a court to establish the damages for the entire .969 remaining years. ■ Its argument is that one cannot be sure the- truncated portion will not show sufficient gain to absorb all losses. Since certain proof for distant years cannot be produced, this objection leaves the lessor to qualified opinion evidence as to annual rental value, discounted for the term to show, present damage. Such an opinion necessarily *557proceeds from presumably adequate knowledge of what lessees, desiring but not requiring the facilities, would be willing to pay for a net^ lease and lessors, in a similar attitude toward renting, to accept for the remainder of the term. While such evidence is admissible for consideration in forming a judgment upon damages, it has little, if any, probative force beyond the immediate years. Certainly such opinion evidence alone cannot be permitted to' fix rental value for purposes of damages in the indefinite future. The final objective of the proof is not how much the remainder is worth now but what damages the lessor has suffered. For this he is awarded compensation. The measure of that damage is rent less rental value, a matter of judgment to be reached in the light of pleading and.proof supplemented, by judicial knowledge.
The law for. purposes of damages does not treat a broken lease of a thousand years as though it rap only for a limited time, the damages for which are measurable. But since evidence of the damage is necessarily limited to a time of “definite forecasts” the rule of rental value permits the use of data for only a limited number, of years to determine damages. The number of years to be considered depends upon the fullness and quality of the evidence offered to establish the damages. Hence, whether a limited term beyond the reach of forecasts or the whole- term is to be used as a base for rental value, the evidence of earnings would be projected the. same number of years. This, we think, is what was meant by the. circuit court of 'appeals when it treated the lease .“in effect” as one with a term within the range of predictability as to rental value.
However nebulous the concept of a long lease may be, it is not a fiction but an actual instrument. Nothing appears in the record to suggest that the rental agreed upon was other than a reasonable return upon the value >of the demised property, fairly negotiated. At the time *558the lease was executed, it is fair to assume the parties thought the annual rent reserved and rental value. were the saíne. Without proof to the 'contrary only nominal damages would be allowed the. claimant. And,, until something else is shown, courts are entirely justified in assuming that for the long years ahead the rent and the rental value are the same.9 As a consequence, evidence of rental value smaller in amount than the rent reserved for a term shorter than the remainder of the lease is, in the absence .of testimony as to other years, proof of the damages for the years covered. Since the presumption is that the rent'and rental value for the remainder of the term are the same, the damage proven is to be considered as all the damage for the rejection of the lease.
Second. The petitioner also contends that the circuit court of appeals erred in setting aside the district court’s decree refusing the claim on the ground that the evidence, detailed above, did not satisfy the mind as to the amount, of damages. In the view of the trial court,' there was a failure of proof. The correctness of the judgment of the appellate court in directing an allowance of the claim, depends not upon its power, which we think is clear,10 but upon its.conclusion as to the persuasive character of the evidence, whether it is too speculative, whether, it showed the damage to reasonable certainty. As there was no significant dispute over the facts proven, the conclusion as to the sufficiency of the evidence was for the reviewing court: We deal, in this review, with the method of the proof of damages, not the measure. Narrowed even more, the issue is whether the evidence offered justifies an award, whether the quantum of proof produced forms an adequate, basis for a reasoned judgment.
*559Future rental value cannot be susceptible of precise proof. As it depends, so far as the amount of damages for breach of a lease is concerned, upon future profits, it partakes of the nature of loss of earning capacity or of ''Credit. To require proof of rental value approaching mathematical certitude would bar a recovery for an actual injury Suffered. All that can be done is to place before the court such facts and circumstances as are available to enable an estimate to be made based upon judgment and not guesswork.11 Every ariticipatory breach of an ' obligation, and every appraisal of damage, involving the présent value of property involves a prediction as to what will occur in the future. Present market value of property is but the resultant of. the prediction of many minds as to the usability of property and probable financial returns frotii that.use, projected into the future as ' far as reasonable, intelligent men can foresee the future.
The proof of future profits by the evidence .of past profits in an established business gives' a reasonable basis for a conclusion.12 It is true that this business changed from trolley to bus. within two years of the end of the base period and that management changed from lessee to *560lessor but we think the fact of transportation in the same communities for more than a quarter of a century sufficed to give the operation the classification of an established business. Here different methods of operation or normal changes in the executive staffs do not seem sufficient to interfere' with the probative value of past experience. Franchises and property of street railways and bus lines are difficult of appraisal. Nothing is more indicative of their value for lease or sale of the fee than past earnings. If we were to adopt the view that the interest conveyed is a defeasible fee,13 its defeasance dependent upon a condition such as nonpayment of annual instalments of the purchase price, the same difficulties exist. The unknown subtrahend would-be the present value, instead of the rental value. Evidence of value would be made up of the items of proof. One of the most important of these, in the case of property such as here involved, would be past earnings. ■ ’
This Court has sustained recoveries for future profits over four years based solely upon evidence of the profits of an established business for the past four years. We there approved an instruction which told the jury, “Damages are not rendered uncertain because they cannot be calculated with absolute exactness. It is sufficient if a reasonable basis of computation is afforded, although the result be only approximate.” 14
The ways compensatory damages may be proven are many. The' injured party is not to be barred from a fair recovery by impossible requirements. The wrongdoer should not be mulcted, neither should he be permitted to escape under cover of a demand for nonexistent *561certainty.15 Damages for breach of the lease were in contemplation .of the parties when the contract was made.16 The lease contained a covenant of reentry without prejudice to right of action for arrears of rent or breach of covenants. The provision in the Bankruptcy Act gives a new right of recovery in bankruptcy only. This right of recovery is an unsecured claim of the character of a claim for a deficiency above the value of inadequate collateral.
Certainty in the fact of damage is essential. Certainty as to the amount goes no further than to require a basis for a reasoned conclusion.17 The certainty of the evidence as to damages for rejection of a lease depends upon the same tests as in other situations where damages are difficult of proof. This Court, recently, in an infringement case18 was required to appraise the value of opinion evidence as to the part of profits attributable to the use of a pirated play, an obviously elusive fact. No expert thought any greater percentage than ten should be attributed to the play. The lower court allowed twenty so that the award might by no possibility be too small. We approved because “what is required is not mathematical exactness but only á reasonable approximation. That, after all, is a matter of judgment . . .”
Satisfactory evidence was presented for the three years of actual operation of the properties covered by this lease. We think that prior earnings of the same property over fourteen years was a fair base to use to project the estimate of the earnings for the eight yéars of future *562operation. The failure to produce further evidence, either through experts or transportation surveys, was not fatal to respondent’s case, even though such evidence is admissible. We see no reason to disagree with the conclusion of the circuit court of appeals that under the evidence presented the damages for eight years might be predicted with a “fair degree of certainty.”
Affirmed.
The lease originally covered additional properties, but as to these the debtor no longer had an interest.
Connecticut Railway & Lighting Co. v. Palmer, 305 U. S. 493, 504.
To fill out the data petitioner calculated the , proportionate rent reserved and the actual eatings for the 'Short period between the date-of rejection, December 17, 1935,' and January 1, 1936.
See another New Haven long term lease, In re New York, N. H. & H. R. Co., 30 F. Supp. 541, where evidence of'this kind appears.
The preciseness of this figure as to the amount of damage is illusory. It is obtained by accepting estimated interest rate and average earnings for eight years in the future, reduced to present cash value; as shown by respondent on a table covering forty years and deducting this from the agreed rent, discounted.
Nearly forty thousand miles of road are leased by Class I railroads from 292 lessors. Class I roads operate over 93 per cent of all railroad mileage. Leased property represents over 15 per'cent of this total. Over four billion dollars is invested in railroad property under Tease. Tables 1, 129, 156 and 162. Statistics of Railways in the United States 1938. See Meek & Hasten, Railroad Leases and Reorganization, 49 Yale Láw Journal 626.
Tax Cases: In many tax cases long-term leases have been valued, though frequently without any statement of the evidence or method used. Northern Hotel Co., 3 B. T. A. 1099, 1102; Newman Theatre Co., 4 B. T. A. 390; L. S. Donaldson Co., 12 B. T. A. 271; A. H. Woods Theatre Co., 12 B. T. A. 827; Consolidated Investment Co., 13 B. T. A. 1252; Hotel Wisconsin Realty Co., 16 B. T. A. 334; James Bldg. Co., 22 B. T. A. 658; Martha Realty Co., 22 B. T. A. 342, 344; New York ex rel. Delaware & Hudson Canal Co. v. Feitner, 61 App. Div. 129; 70 N. Y. S. 500; Appeal Tax Court v. Western Maryland R. Co., 50 Md. 274, 298; Philadelphia, W. & B. R. Co. v. Appeal Tax Court, 50 Md. 397; New York ex rel. Gorham Mfg. Co. v. State Tax Comm’n, 197 App. Div. 852; 189 N. Y. S. 241. Eminent Domain Cases: Matter of the City of New York: Beers v. Schlessinger, 120 App. Div. 700; 105 N. Y. S. 779; In re Park Site, 247 Mich. 1; 225 N. W. 498. Contract Cases: Bondy v. Harvey, 218 App. Div. 126; 217 N. Y. S. 877; Williams v. Burrell, 1 C. B. 402.
E. g. New York, New Haven & Hartford Railroad Company Reorganization, 239 I. C. C. 337, 351, 386, 387, 389, 453; In re Chicago, Milwaukee, St. Paul & Pacific R. Co., 36 F. Supp. 193, 205 et seq.; same, 239 I. C. C. 485, 537, 553; Erie Railroad Company Reorganization, 239 I. C. C. 653, 685, 689.
2 Sedgwick, Damages, 9th Ed., § 610.
Cf. Ridings v. Johnson, 128 U. S. 212, 218; United States v. Rio Grande Irrigation Co., 184 U. S. 416, 423.
Story Parchment Co. v. Paterson Co., 282 U. S. 555, 563; Eastman Kodak Co. v. Southern Photo Co., 273 U. S. 359, 379; Eckington & S. H. Ry. Co. v. McDevitt, 191 U. S. 103, 112, 113; cf. dicta in United States v. Behan, 110 U. S. 338, 344; see Restatement of Contracts, § 331, particularly comment (a); United spates Trust Co. v. O’Brien, 143 N. Y. 284, 290; 38 N.. E. 266; Ball v. Pardy Construction Co., 108 Conn. 549, 551; 143 A. 855; Commonwealth Trust Co. v. Hachmeister Lind Co., 320 Pa. 233; 181 A. 787; 1 Sedgwick, Damages, 9th Ed., § 170 (a) et seq.; 1 Sutherland, Damages, 4th Ed., § 67.
5 Williston, Contracts, Rev. Ed. § 1346 A; Bagley v. Spnith, 10 N. Y. 489, 498; Dickinson v. Hart, 142 N. Y. 183, 188; 36 N. E. 801; Macan v. Scandinavia Belting Co., 264 Pa. 384, 392; 107 A. 750; Commonwealth Trust Co. v. Hachmeister Lind Co., 320 Pa. 233, 242; 181 A. 787.
Ocean Grove Camp Meeting Assn. v. Reeves, 79 N. J. L. 334, 338-39; 75 A. 782.
Eastman, Kodak Co. v. Southern Photo Co., 273 U. S. 359, 379.
Story Parchment Co. v. Paterson Co., 282 U. S. 555, 564, 565; Eastman Kodak Co. v. Southern Photo Co., 273 U. S. 359, 379; Hetzel v. Baltimore & Ohio R. Co., 169 U. S. 26, 37, 38.
Hadley v. Baxendale, 9 Exch. 341.
Story Parchment Co. v. Paterson Co., 282 U. S. 555, 562, 563; 1 Sedgwick, Damages, 9th Ed., § 170; United States Trust Co. v. O’Brien, 143 N. Y. 284, 289; 38 N. E. 266.
Sheldon v. Metro-Coldwyn Corp., 309 U. S. 390, 406-408.