@article{alongtermalternativeformulafora,
  title = {A long-term alternative formula for a stochastic stock price model},
  author = {Takuya Okabe and Jin Yoshimura},
  year = {2019},
  eprint = {1904.04422},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1904.04422v2},
}