Large-scale investment projects face significant long-run uncertainty in interest rates. However, little is known about the effect of long-term discount rate uncertainty on capital investment real option values. This paper bridges the long-run discount rate uncertainty literature developed in climate change economics with the financial literature on interest rate models and real options. First, we derive an Ingersoll-Ross real option model under the assumption of a declining discount rate model (DDR) following Gollier and Weitzman, and show how optimal investment timing is affected. Second, we study the problem of an open oil field with an abandonment option. We find that, compared with DDR, standard models using constant or mean-reverting interest rates undervalue projects and their real options to wait or to abandon. Indeed, results under DDR are more consistent with recent evidence on corporate decision-making under incomplete preferences or ambiguity. The results have implictions for both energy investment under uncertainty and climate finance.
AleksandrovN.EspinozaR.GyurkoL. (2013). “Optimal oil production and the world supply of oil” Journal of Economic Dynamic and Control37: 1248-1263. https://doi.org/10.1016/jjedc.2013.01.015.
2.
AlmansourA.InsleyM. (2016). “The impact of stochastic extraction cost on the value of an exhaustible resource: An application to the Alberta oil sands” The Energy Journal37(2): 61-88. https://doi.org/10.5547/01956574.37.2.aalm.
3.
ArrowK.CropperM. L.GollierC.GroomB.HealG. M.NewellR. G.NordhausW. D.PindyckR.PizerW. A.PortneyP. R.SternerT.TolR. S. J.WeitzmanM. L. (2014). “Should governments use a declining discount rate in project analysis?” Review of Environmental Economics and Policy8(2): 145-163. https://doi.org/10.1093/reep/reu008.
4.
BerkJ. B. (1999). “A simple approach for deciding when to invest” American Economic Review89(5): 1319-1326. https://doi.org/10.1257/aer.89.5.1319.
5.
BewleyT. F. (1986). “Knightian decision theory. Part I” Discussion paper 807, Cowles Foundation. (Published in Decisions in Economics and Finance, 25 (2002), 79—110) .
6.
BrennanM. J.SchwartzE. S. (1985). “Evaluating natural resource investments” Journal of Business 58(2): 135-157.https://doi.org/10.1086/296288.
7.
CarruthA.DickersonA.HenleyA. (2000). “What do we know about investment under uncertainty” Journal of Economic Surveys14(2): 119-154. https://doi.org/10.1111/1467-6419.00107.
8.
ChanK. C.KarolyiG. A.LongstaffF. A., and Sanders (1992). “An empirical comparison of alternative model of short-term interest rates” The Journal of Finance47(3): 1209-1227. https://doi.org/10.1111/j.1540-6261.1992.tb04011.x.
9.
CoxJ. C.IngersollJ. E.RossS. A. (1985a). “An intertemporal general equilibrium model of asset prices” Econometrica53: 363-384. https://doi.org/10.2307/1911241.
10.
CoxJ. C.IngersollJ. E.RossS. A. (1985b). “A theory of the term structure of interest rates” Econometrica53(2): 385-407. https://doi.org/10.2307/1911242.
11.
DiasM. A. G. (2004). “Valuation of exploration and production assets: an overview of real options models” Journal of Petroleum Science and Engineering44: 93-114. https://doi.org/10.1016/j.petrol.2004.02.008.
12.
DixitA. K. (1994). Investment under uncertainty Princeton Universty Press.
13.
DuffieD.KanR. (1996). “A yield-factor model of interest rates” Mathematical Finance6(4): 379-406. https://doi.org/10.1111/j.1467-9965.1996.tb00123.xEkern, S. (1988). “An option pricing approach to evaluating petroleum projets Energy Economics 10(2): 91-99.https://doi.org/10.1016/0140-9883(88)90023-0.
14.
EpsteinL. G.ZinS. E. (1989). “Substitution, risk aversion, and the temporal behavior of consumption and asset returns: A theoretic framework” Econometrica57(4): 937-969. https://doi.org/10.2307/1913778.
15.
FleurbaeyM.ZuberS. (2012). “Climate policies deserve a negative discount rate” Chicago Journal of International Law13: 565-595.
16.
GarlappiL.GiammarinoR.LazrakA. (2017). “Ambiguity and Corporation: Group Disagreement and underinvestment” Journal of Financial Economics125(3): 417-433. https://doi.org/10.1016/jjfineco.2017.06.005.
17.
GollierC. (2002). “Time horizon and the discount rate” Journal of Economic Theory107: 463-473. https://doi.org/10.1006/jeth.2001.2952.
18.
GollierC. (2007). “The consumption-based determinants of the term structure of discount rates” Mathematics and Financial Economics1(2): 81-102. https://doi.org/10.1007/s11579-007-0004-0.
19.
GollierC. (2011). “On the underestimation of the precautionary effect in discounting” Geneva Risk and Insurance Review36: 95-111. https://doi.org/10.1057/grir.201L6.
20.
GollierC. (2012). Pricing the planet's future: the economic of discounting in an uncertain world: Princeton Universty Press.
21.
GollierC.HammitJ. K. (2014). “The long-run discount rate controversy” Annual Review of Resources Economic 6:273295. https://doi.org/10.1146/annurev-resource-100913-012516.
22.
GollierC.KoundouriPPantelidisT. (2008). “Declining discount rates: Economic justifications and implications for long-run policy” Economic Policy: 757-795. https://doi.org/10.1111/j.1468-0327.2008.00211.x.
23.
GrenadierS. R.WangN. (2007). “Investment under uncertainty and time-inconsistent preferences” Journal of Financial Economics84: 2-39. https://doi.org/10.1016/jjfineco.2006.01.002.
24.
GroomB.HepburnC.KoundouriP.PearceD. (2005). “Declining discount rates: the long and the short of it” Environmental and Resource Economics32: 445-493. https://doi.org/10.1007/s10640-005-4681-y.
25.
GroomB.KoundouriP.PanopoulouE.PantelidisT. (2007). “Discounting the distant future: how much does model selection affect the certainty equivalent” Journal of Applied Econometrics22: 641-656. https://doi.org/10.1002/jae.937.
26.
GulerI. (2007). “Throwing good money after bad? Political and institutional influences on sequential decision making in the venture capital industry” Administrative Sciences Quarterly52: 248-285. https://doi.org/10.2189/asqu.52.2.248.
27.
IngersollJ. E.RossS. A. (1992). “Waiting to invest: investment and uncertainty” Journal of Business65(1): 1-29. https://doi.org/10.1086/296555.
28.
JafarizadehB.BratvoldR. B. (2012). “Two-factor oil-price modelandreal optionvaluation: an example of oilfield abandonment” SPE Economics and Management4: 158-170.
29.
LaughtonD. (1998). “The management of flexibility in the upstream petroleum industry” The Energy Journal19(1): 83-114. https://doi.org/10.5547/ISSN0195-6574-EJ-Vol19-No1-4.
30.
LinC.-G.WangY.-S. (2012). “Evaluating natural resource projects with embedded options and limited reserves” Applied Economics44: 1471-1482. https://doi.org/10.1080/00036846.2010.543076.
31.
LitzenbergerR. H.RabinowitzN. (1995). “Backwardation in oil futures markets: Theory and empirical evidence” The Journal of Finance50(5): 1517-1545. https://doi.org/10.1111/j.1540-6261.1995.tb05187.x.
32.
LongstaffF. A.SchwartzE. S. (2001). “Valuing American options by simulation: a simple least-square approach” Review of Financial Studies14: 113-147. https://doi.org/10.1093/rfs/14.L113.
33.
MorganM.VaishnavP.DowalatabadiH.AzevedoI. (2017). “Rethinking the social cost of carbon dioxide” Issues in Science and Technology 33(4).
34.
NewellR.PizerW. (2003). “Discounting the benefits of climate change mitigation: How much do uncertain rates increase valuations?” Journal of Environmental Economics and Management 45(1): 52-71. https://doi.org/10.1016/S0095-0696(02)00031-1.
35.
NordhausW. D. (2007). “A review of the Stern Review on the economics of climate change” Journal of Economic Literature45: 686-702. https://doi.org/10.1257/jel.45.3.686.
36.
PaddockJ. L.SiegelD. R.SmithJ. L. (1988). “Option valuation of claims on real assets: the case of offshore petroleum leases” The Quartely Journal of Economics103(3): 479-508. https://doi.org/10.2307/1885541.
37.
PindyckR. (1999). “The long-run evolution of energy prices” The Energy Journal20(2): 1-27. https://doi.org/10.5547/ISSN0195-6574-EJ-Vol20-No2-1.
38.
PindyckR. (2001). “The dynamics of commodity spot and futures markets: A primer” The Energy Journal22(3): 1-29. https://doi.org/10.5547/ISSN0195-6574-EJ-Vol22-No3-1.
SarkarS. (2003). “The effect of mean reversion on investment under uncertainty” Journal of Economic Dynamic and Control28: 377-396. https://doi.org/10.1016/S0165-1889(02)00181-1.
41.
SchwartzE. S. (2013). “The real options approach to valuation: challenges and opportunities” The Journal of Economics50(2): 163-177. https://doi.org/10.7764/LAJE.50.2.163.
42.
SchwartzE. S.SmithJ. E. (2000). “Short-term variations and long-term dynamics in commodity prices” Management Science46(7): 893-911. https://doi.org/10.1287/mnsc.46.7.893.12034.
43.
SmithJ. E.McCardleK. F. (1999). “Options in the real world: lessons learned in evaluating oil and gas investments” Operations Research47(1): 1-15. https://doi.org/10.1287/opre.47.L1.
44.
SovacoolB.DworkinM. (2014). Global Energy Justice: Problems, Principles, and Practices Cambridge UP, Cambridge, UK and New York, NY USA. https://doi.org/10.1017/CB09781107323605.
45.
TitmanS. (2015). “Should We Maintain Current Oil Production Levels?” Texas Enterprise, The University of Texas at Austin 20April2015: 2 pp.
46.
TolisA.DoukelisI.TatsiopoulosA. (2010). “Stochastic interest rates in the analysis of energy invest- ments: Implications on economic performance and sustainability” Applied Energy87: 2479-2490. https://doi.org/10.1016/j.apen-ergy.2009.11.033.
47.
TrigeorgisL. (1996). Real options: managerial flexibility and strategy in resource allocation MIT Press, Cambridge, MA.
48.
TsekrekosA. E.ShackletonM. B.WojakowskiR. (2012). “Evaluating natural resource investments under different model dynamics: managerial insights” European Financial Management18(4): 543-577. https://doi.org/10.1111/j.1468-036X.2010.00544.x.
49.
WeitzmanM. L. (1998). “Why the far-distant future should be discounted at its lowest possible rate” Journal of Environmental Economics and Management36: 201-208. https://doi.org/10.1006/jeem.1998.1052.
50.
WeitzmanM. L. (2007). “A review of the Stern Review on the economics of climate change” Journal of Economic Literature45(4): 703-724. https://doi.org/10.1257/jel.45.3.703.
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