Hostname: page-component-7479d7b7d-wxhwt Total loading time: 0 Render date: 2024-07-12T21:18:37.285Z Has data issue: false hasContentIssue false

A snakes and ladders representation of stock prices and returns

Published online by Cambridge University Press:  23 January 2015

Philip C. Gager
Affiliation:
University of Cumbria, Lancaster LA1 3JD e-mail:philipgager@btinternet.com
Mark B. Shackleton
Affiliation:
Lancaster University Management School, Lancaster LA1 4YX e-mail:m.shackleton@lancs.ac.uk

Extract

Snakes and ladders is an ancient Indian game of chance that offers amusement as well as a metaphor for life's many ups and downs. Games offer useful and fun ways of conveying ideas as well as solution techniques and this game has considerable mathematical tractability.

This note shows how snakes and ladders can be used to represent the ups and downs of share ownership and determine fair values of a multistage project that pays fixed dividends at uncertain completion times and has random returns

Type
Articles
Copyright
Copyright © The Mathematical Association 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Daykin, D. E., Jeacocke, J. E. and Neal, D. G., Markov chains and snakes and ladders, Math. Gaz. 51 (December 1967) pp. 313317.Google Scholar
2. Althoen, S. C., King, L and Schilling, K How long is a game of snakes and ladders? Math. Gaz. 11 (March 1993) pp. 7176.Google Scholar
3. Cox, John C., Ross, Stephen A. and Rubinstein, Mark, Option pricing: A simplified approach, Journal of Financial Economics 7 (1979) pp. 229263.CrossRefGoogle Scholar
4. Warburton, Jeff and Madge, Clare. The snakes and ladders of research: Using a board game to teach the pitfalls of undergraduate research design, Journal of Geography in Higher Education 18 (2) (1994) pp.Google Scholar
5. Brown, Phyllida, A new game of snakes and ladders, New Scientist 119 (1627) (1988) pp. 6162.Google Scholar