User:Ekhcsub/Quantitative Methods

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Contents

[edit] Study Session 2

[edit] 5. Time Value of Money

[edit] a. real risk-free rate, inflation, premiums

nominal risk-free rate = real risk-free rate + expected inflation rate
  • default risk
  • liquidity risk
  • maturity risk
  • required interest rate on a security

[edit] b. EAR

EAR = (1 + periodicrate)m − 1

[edit] c. FV, PV, annuity, perpetuity, annuity due, uneven cash flows

FV = PV(1 + I / Y)N
  • FV of an annuity due: FVAD
FVA_D = FVA_O \times (1 + I/Y)
  • PV of an annuity due:
PVA_D = PVA_O \times (1 + I/Y)
  • Present value of a perpetuity
PV_{perpetuity} = \frac{PMT}{I/Y}

[edit] d. time line, time index, TVM applications (mortgages, retirement)

[edit] 6. Discounted Cash Flow Applications

[edit] a. Calculate NPV, IRR

  • NPV
NPV = \sum_{t=0}^N \frac{CF_t}{(1+r)^t}
  • IRR (internal rate of return): rate of return that equates PV
  • or IRR: discount rate for wich NPV is 0
0 = CF_0 + \frac{CF_1}{1+IRR} + \frac{CF_2}{(1+IRR)^2} + ... + \frac{CF_N}{(1+IRR)^N}
  • NPV decision rules
    • accept (reject) projects with a positive (negative) NPV
    • project with higher NPV should be accepted in case of mutually exclusive projects

[edit] b. Holding period return (HPR, total return)

HPR = \frac{ending value}{beginning value}-1

[edit] c.

[edit] d.

[edit] 7. Statistical Concepts and Market Returns

[edit] a.

[edit] b.

[edit] c.

[edit] d.

[edit] e.

[edit] f.

[edit] g.

[edit] h.

[edit] i.

[edit] j.

[edit] 8. Probability Concepts

[edit] a.

[edit] b.

[edit] c.

[edit] d.

[edit] e.

[edit] f.

[edit] g.

[edit] h.

[edit] i.

[edit] j.

[edit] k.

[edit] l.

[edit] m.

[edit] n.

[edit] Study Session 3

[edit] 9. Common Probability Distributions

[edit] a.

[edit] b.

[edit] c.

[edit] d.

[edit] e.

[edit] f.

[edit] g.

[edit] h.

[edit] i.

[edit] j.

[edit] k.

[edit] l.

[edit] 10. Sampling and Estimation

[edit] a.

[edit] b.

[edit] c.

[edit] d.

[edit] e.

[edit] f.

[edit] g.

[edit] h.

[edit] i.

[edit] j.

[edit] k.

[edit] 11. Hypothesis Testing

[edit] a. Define Hypothesis

[edit] Steps of hypothesis testing

  1. . State the hypothesis
  2. . Select appropriate test statistic
  3. . Specify level of significance
  4. . State the decision rule
  5. . Collect sample and calculate sample statistics
  6. . Make a decision regarding the hypothesis
  7. . Make a decision based on the results of the test

[edit] Null hypothesis

[edit] Alternative hypothesis

[edit] One-Tailed, Two-Tailed test of hypothesis

[edit] b.

[edit] c.

[edit] d.

[edit] e.

[edit] f.

[edit] 12. Correlation and Regression

[edit] a.

[edit] b.

[edit] c.

[edit] d.

[edit] e.

[edit] f.

--Ekhcsub 23:27, 7 April 2007 (UTC)