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Maritime Policy & Management
The flagship journal of international shipping and port research
Volume 31, 2004 - Issue 4
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Original Articles

Modelling forward freight rate dynamics—empirical evidence from time charter rates

Pages 319-335 | Published online: 05 Aug 2006

References

References

  • Dalheim , F . 2002 . Freights derivatives trading and ‘Value-at-Risk’ in tanker and bulk shipping . Marine Money , June : 23 – 29 .
  • Kavussanos , MG and Nomikos , NK . 1999 . Futures hedging when the structure of the underlying asset changes: The case the BIFFEX contracts . The Journal of Futures Markets , 20 : 775 – 801 .
  • Kavussanos , MG and Nomikos , NK . 2000a . Constant vs time-varying hedge ratios and hedging efficiency in the BIFFEX market . Transportation Research: Part E: Logistics and Transportation Review , 36 : 229 – 248 .
  • Kavussanos , MG and Nomikos , NK . 2000b . Hedging in the freight futures market . The Journal of Derivatives , Fall : 41 – 58 .
  • Haigh MS Holt T 2002 Hedging foreign currency, freight and futures portfolio—a Note, Working Paper 02–09, Dept of Agricultural and Resource Economics, University of Maryland
  • Ibid. 1
  • Dinwoodie , J and Morris , J . 2003 . Tanker forward freight agreements: The future for freight futures? . Maritime Policy and Management , 30 : 45 – 58 .
  • Ibid. p. 56
  • Heath , D , Jarrow , R and Morton , A . 1992 . Bond pricing and the term structure of interest rates: A new methodology for contingent claims valuation . Econometrica , 60 : 77 – 105 .
  • Ibid.
  • Bjork T Landen C 2002 Mathematical Finance—Bachelier Congress 2000 In: H. Geman, D. Madan, S. Pliska, and Ton Vorst (eds) Springer Verlag 111 150
  • Lucia , J and Schwartz , ES . 2002 . Electricity prices and power derivatives: Evidence from the Nordic Power Exchange . Review of Derivatives Research , 5 : 5 – 50 .
  • Adams , KJ and van Devente , DR . 1994 . Fitting yield curves and forward rate curves with maximum smoothness . Journal of Fixed Income , June : 52 – 62 .
  • Here f(t, s) denotes the forward freight rate at time t with maturity at time s. The derivatives are taken with respect to the second time index
  • For a comprehensive description of the maximum smoothness approach see Adams and van Deventer [13], Lim and Xiao [16] and Ollmar, F. 2003 Smooth forward price curves in electricity markets, Chapt. 2 in An analysis of derivative prices in the Nordic power market Submitted Dr Oecon thesis at Norwegian School of Economics and Business Administration
  • Lim , KG and Xiao , Q . 2002 . Computing maximum smoothness forward rate curves . Statistics and computing , 12 : 275 – 279 .
  • Alternatively the TC-rates themselves can be used as input, and then the relevant relationship is given in (1). We used the approximation w(u; r) ≈ 1/(T 2 − T 1) in the calculations. However, we also tested the theoretical exact weighting scheme using r  = 5% for the whole sample. The two smoothed data sets were more or less indistinguishable (the maximum deviation between any two corresponding prices from the two data sets was less than 0.5%)
  • Cortazar , G and Schwartz , ES . 1994 . The valuation of commodity contingent claims . The Journal of Derivatives , Summer : 27 – 39 .
  • Throughout this section we write matrices in bold upper case letters, vectors in bold lower case letters and elements in plain text. See Koekebakker, S., Ollmar F. 2005 Forward curve dynamics in the Nordic electricity market. Forthcoming in Managerial Finance

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