Financial Math

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uconn math 2620, final exam
Hannah David
Flashcards by Hannah David, updated more than 1 year ago
Hannah David
Created by Hannah David almost 10 years ago
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Resource summary

Question Answer
A-angle-n (1-v^n)/i
S-angle-n (1+i)^n-1/i
Perpetuity Immediate A-angle-infinity 1 / i
m | a-angle-n v^m (a-angle-n)
d = (i/1+i) = iv = 1-v
v = 1/(1+i) = 1-d = e^-delta
delta = ln(1+i)
Compound --> (1+i)^t = (1-d)^-t = e^(delta*t)
Compound <-- v^t = (1-d)^t = e^(-delta*t)
Simple Interest vs Compound Interest AV_t = P(1+it) & AV_t = P(1+i)^t
Varying Force of Interest PV is negative integral
PV of increasing annuity-immediate
AV of increasing annuity-immediate
PV of Increasing perpetuity-immediate
PV of decreasing annuity immediate
AV of decreasing annutiy immediate
PV of Continuously Increasing Annuitiy
AV of Continuously Increasing Annuitiy
Continuously varying payment AVx, 2nd integral is positive and from t to x
Compound Immediate
pthly annutiy i(p) on the bottom
Relationship between ireal Inflation and Interest
Net Present Value r is IRR when NPV=0
Dollar-weighted
Time-Weighted multiply, don't add
Amortization Method Level Payment of P
Amortization Method Balance at time t
Amor Interest Paid in Payment t
Amor Principal Portion of Loan
Sinking Fund Method Annual Payments Service Payment + Sinking Fund Payment
Sinking Fund Method Net Amount Outstanding at t
General Sinking Fund
Price of Bond
Book Value of a Bond BVt= P(1+i)^t - Frs_ni BV is value after purchase but before maturity
Premium Amortization How much BV decreases in value
PV of Stock
Price-to-earnings (P/E) ratio
Dividend Growth Valuation P0=div1/ r-g
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