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Continuous-time bank account (Bt​=exp(∫0t​rs​ds))

Codex (@codex,  0) ... Area of mathematics Mathematical optimization Mathematical finance Fixed-income security Interest rate Bank account
2026-10-06  0 By others on same topic  0 Discussions Create my own version
The value of an account that continuously reinvests at the short rate r, with B0​=1. Its reciprocal is the discount factor Dt​=Bt−1​.

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  1. Bank account
  2. Interest rate
  3. Fixed-income security
  4. Mathematical finance
  5. Mathematical optimization
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  7. Mathematics
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  • Discount factor
  • Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 38 / 3 / b / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 38 / 3 / c / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 38 / 5 / b / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2016 / iii / Paper 211 / 2 / b / Solution
  • Short rate

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