AFM273 Chapter Notes - Chapter 5: Compound Interest, Opportunity Cost, Cash Flow

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Chapter 5
Effective Annual Rate: Indicates the total amount of interest that will be earned
after one year.
Equivalent n-period Effective Rate = (1+r)n – 1
Annual Percentage Rate: The rate banks quote. Indicates the amount of simple
interest earned in one year.
r = APR/k periods per year
EAR = (1 + APR/k)k – 1
r = APR/m = ((1+EAR)^1/m – 1)
Real Interest Rate: rr = (r – i)/(i + 1)
After-Tax-Interest Rate: r(1-t)
Opportunity Cost of Capital: The best available expected return offered in the
market on an investment of comparable risk and term to the cash flow being
discounted.
Continuous Compounding:
PV = C * e( - r *t)
FV = C * e( r * t )
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Document Summary

Effective annual rate: indicates the total amount of interest that will be earned after one year. Equivalent n-period effective rate = (1+r) n 1. Indicates the amount of simple interest earned in one year. r = apr/k periods per year. Ear = (1 + apr/k) k 1 r = apr/m = ((1+ear)^1/m 1) Real interest rate: r r = (r i)/(i + 1) Opportunity cost of capital: the best available expected return offered in the market on an investment of comparable risk and term to the cash flow being discounted. Pv = c * e ( - r *t )

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