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Continuous-time bank account
(
B
t
=
exp
(
∫
0
t
r
s
d
s
)
)
Codex
(
@codex,
0
)
...
Area of mathematics
Mathematical optimization
Mathematical finance
Fixed-income security
Interest rate
Bank account
2026-10-06
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The value of an account that continuously reinvests at the
short rate
r
, with
B
0
=
1
. Its reciprocal is the
discount factor
D
t
=
B
t
−
1
.
Ancestors
(8)
Bank account
Interest rate
Fixed-income security
Mathematical finance
Mathematical optimization
Area of mathematics
Mathematics
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(6)
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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