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FM for Actuaries

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List of Mathematical Symbols

xvii

Symbol

(Ia) n⌉

(Iä) n⌉

(Iā) n⌉

(Īā) n⌉

(Is) n⌉

(I¨s) n⌉

(I¯s) n⌉

(Ī¯s) n⌉

r (m)

¯r

r I

r N

r R

R A

R B

R D

R G

R L

R P

R S

R T

s n⌉

s n⌉ i

q|s n⌉ i

s (m)

n⌉

s (m)

n⌉i

Meaning

present value of an increasing annuity-immediate

present value of an increasing annuity-due

present value of an increasing continuous annuity

present value of a continuously increasing continuous annuity

future value of an increasing annuity-immediate

future value of an increasing annuity-due

future value of an increasing continuous annuity

future value of a continuously increasing continuous annuity

nominal rate of interest payable m times a year

continuously compounded rate of interest

rate of inflation

nominal rate of interest

real rate of interest

arithmetic mean rate of return

interest rate for borrowing

one-period DWRR (dollar-weighted rate of return)

geometric mean rate of return

interest rate for lending

rate of return for a portfolio

swap rate of an interest rate swap

one-period TWRR (time-weighted rate of return)

same as s n⌉

when the rate of interest is understood

i

future value of an annuity-immediate

future value of a q-period deferred annuity-immediate

same as s (m) when the rate of interest is understood

n⌉i

future value of an mn-payment annuity-immediate with

m payments per interest-conversion period

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