IDEAS home Printed from https://ideas.repec.org/a/pal/marecl/v18y2016i4d10.1057_mel.2015.22.html
   My bibliography  Save this article

Stochastic modeling of Supramax spot and forward freight rates

Author

Listed:
  • Fred Espen Benth

    (Department of Mathematics, University of Oslo)

  • Steen Koekebakker

    (School of Business and Law, University of Agder)

Abstract

We conducted an empirical analysis of Supramax spot rates and propose a continuous time process to model the dynamics. The model incorporates features relevant for shipping freight rates, freight rate volatility that varies over time, sudden, big freight rate movements, and short-term, mean-reverting price trends. This suggests some degree of short-term predictability of Supramax spot rates, making shipping different from traditional asset markets, like stocks and currencies, and also most commodity markets. However, this does not imply that arbitrage profits are easily picked up in this market, as, financially speaking, spot freight rates are not traded assets. We instead focus on the relationship between the spot price dynamics and the forward freight agreements (FFAs) market. We apply our model to derive theoretical FFA rates. Compared with actual FFA prices, our theoretical model is able to mimic various FFA curve shapes also seen in the market. This suggests that our model may be useful for various financial management applications in shipping.

Suggested Citation

  • Fred Espen Benth & Steen Koekebakker, 2016. "Stochastic modeling of Supramax spot and forward freight rates," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 18(4), pages 391-413, December.
  • Handle: RePEc:pal:marecl:v:18:y:2016:i:4:d:10.1057_mel.2015.22
    DOI: 10.1057/mel.2015.22
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/mel.2015.22
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1057/mel.2015.22?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Nomikos, Nikos K. & Kyriakou, Ioannis & Papapostolou, Nikos C. & Pouliasis, Panos K., 2013. "Freight options: Price modelling and empirical analysis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 51(C), pages 82-94.
    2. Koekebakker, Steen & Adland, Roar & Sødal, Sigbjørn, 2007. "Pricing freight rate options," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(5), pages 535-548, September.
    3. Lu Jing & Peter B. Marlow & Wang Hui, 2008. "An analysis of freight rate volatility in dry bulk shipping markets," Maritime Policy & Management, Taylor & Francis Journals, vol. 35(3), pages 237-251, June.
    4. Peter Løchte Jørgensen & Domenico De Giovanni, 2010. "Time Charters with Purchase Options in Shipping: Valuation and Risk Management," Applied Mathematical Finance, Taylor & Francis Journals, vol. 17(5), pages 399-430.
    5. Sigbjørn Sødal & Steen Koekebakker & Roar Adland, 2009. "Value based trading of real assets in shipping under stochastic freight rates," Applied Economics, Taylor & Francis Journals, vol. 41(22), pages 2793-2807.
    6. Jostein Tvedt, 2003. "Shipping market models and the specification of freight rate processes," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 5(4), pages 327-346, December.
    7. Jostein Tvedt, 1998. "Valuation of a European futures option in the BIFFEX market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 18(2), pages 167-175, April.
    8. Sødal, Sigbjørn & Koekebakker, Steen & Aadland, Roar, 2008. "Market switching in shipping -- A real option model applied to the valuation of combination carriers," Review of Financial Economics, Elsevier, vol. 17(3), pages 183-203, August.
    9. Manolis G Kavussanos, 2003. "Time Varying Risks Among Segments of the Tanker Freight Markets," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 5(3), pages 227-250, September.
    10. Ole E. Barndorff‐Nielsen & Neil Shephard, 2001. "Non‐Gaussian Ornstein–Uhlenbeck‐based models and some of their uses in financial economics," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(2), pages 167-241.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Prochazka, Vit & Adland, Roar & Wallace, Stein W., 2019. "The value of foresight in the drybulk freight market," Transportation Research Part A: Policy and Practice, Elsevier, vol. 129(C), pages 232-245.
    2. Prochazka, Vít & Adland, Roar & Wolff, François-Charles, 2019. "Contracting decisions in the crude oil transportation market: Evidence from fixtures matched with AIS data," Transportation Research Part A: Policy and Practice, Elsevier, vol. 130(C), pages 37-53.
    3. Adland, Roar & Prochazka, Vit, 2021. "The value of timecharter optionality in the drybulk market," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
    4. Yuting Gong & Xueqin Wang & Mo Zhu & Ying‐En Ge & Wenming Shi, 2023. "Maximum utility portfolio construction in the forward freight agreement markets: Evidence from a multivariate skewed t copula," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 43(1), pages 69-89, January.
    5. Ko, Byoung-Wook, 2018. "Dynamic patterns of dry bulk freight spot rates through the lens of a time-varying coefficient model," Transportation Research Part A: Policy and Practice, Elsevier, vol. 118(C), pages 319-330.
    6. Adland, Roar & Alizadeh, Amir H., 2018. "Explaining price differences between physical and derivative freight contracts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 20-33.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Alexandridis, George & Kavussanos, Manolis G. & Kim, Chi Y. & Tsouknidis, Dimitris A. & Visvikis, Ilias D., 2018. "A survey of shipping finance research: Setting the future research agenda," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 115(C), pages 164-212.
    2. Tvedt, Jostein, 2019. "Transport services and the valuation of flexibility over business cycles," Transportation Research Part A: Policy and Practice, Elsevier, vol. 130(C), pages 517-528.
    3. Lourdes Gómez-Valle & Julia Martínez-Rodríguez, 2021. "Including Jumps in the Stochastic Valuation of Freight Derivatives," Mathematics, MDPI, vol. 9(2), pages 1-17, January.
    4. Lim, Kian Guan & Nomikos, Nikos K. & Yap, Nelson, 2019. "Understanding the fundamentals of freight markets volatility," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 130(C), pages 1-15.
    5. Adland, Roar & Prochazka, Vit, 2021. "The value of timecharter optionality in the drybulk market," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
    6. Rau, Philipp & Spinler, Stefan, 2016. "Investment into container shipping capacity: A real options approach in oligopolistic competition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 93(C), pages 130-147.
    7. Lourdes Gómez-Valle & Miguel Angel López-Marcos & Julia Martínez-Rodríguez, 2020. "Two New Strategies for Pricing Freight Options by Means of a Valuation PDE and by Functional Bounds," Mathematics, MDPI, vol. 8(4), pages 1-12, April.
    8. Wolfgang Drobetz & Tim Richter & Martin Wambach, 2012. "Dynamics of time-varying volatility in the dry bulk and tanker freight markets," Applied Financial Economics, Taylor & Francis Journals, vol. 22(16), pages 1367-1384, August.
    9. Yu, Fangping & Xiang, Zhiyuan & Wang, Xuanhe & Yang, Mo & Kuang, Haibo, 2023. "An innovative tool for cost control under fragmented scenarios: The container freight index microinsurance," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 169(C).
    10. Hossein Jafari & Ghazaleh Rahimi, 2018. "Forecasting dirty tanker freight rate index by using stochastic differential equations," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 5(04), pages 1-15, December.
    11. Haehl, Christian & Spinler, Stefan, 2018. "Capacity expansion under regulatory uncertainty:A real options-based study in international container shipping," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 113(C), pages 75-93.
    12. Lourdes Gómez‐Valle & Ioannis Kyriakou & Julia Martínez‐Rodríguez & Nikos K. Nomikos, 2021. "Estimating risk‐neutral freight rate dynamics: A nonparametric approach," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(11), pages 1824-1842, November.
    13. Roar Adland & David Hansson & Levin von der Wense, 2017. "Valuing cargo flexibility in oil transportation," Maritime Policy & Management, Taylor & Francis Journals, vol. 44(7), pages 803-814, October.
    14. Kou, Ying & Luo, Meifeng, 2018. "Market driven ship investment decision using the real option approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 118(C), pages 714-729.
    15. Gkochari, Christiana C., 2015. "Optimal investment timing in the dry bulk shipping sector," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 79(C), pages 102-109.
    16. Chen, Feier & Tian, Kang & Ding, Xiaoxu & Miao, Yuqi & Lu, Chunxia, 2016. "Finite-size effect and the components of multifractality in transport economics volatility based on multifractal detrending moving average method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1058-1066.
    17. Haehl, Christian & Spinler, Stefan, 2020. "Technology Choice under Emission Regulation Uncertainty in International Container Shipping," European Journal of Operational Research, Elsevier, vol. 284(1), pages 383-396.
    18. Ioannis Kyriakou & Panos K. Pouliasis & Nikos C. Papapostolou, 2016. "Jumps and stochastic volatility in crude oil prices and advances in average option pricing," Quantitative Finance, Taylor & Francis Journals, vol. 16(12), pages 1859-1873, December.
    19. Sercan Erol, 2017. "Calculation of the freight revenues in Turkey-focused maritime transportation," Maritime Policy & Management, Taylor & Francis Journals, vol. 44(7), pages 815-824, October.
    20. Alexandros M. Goulielmos, 2015. "The Multi-faceted Character of Risk in Maritime Freight Markets (Panamax) 1996-2012," SPOUDAI Journal of Economics and Business, SPOUDAI Journal of Economics and Business, University of Piraeus, vol. 65(1-2), pages 67-86, January-M.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pal:marecl:v:18:y:2016:i:4:d:10.1057_mel.2015.22. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.palgrave-journals.com/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.