หลักการคณิตศาสตร์ทางการเงิน – Financial Mathematics

PART 1 – THE THEORY OF INTEREST

Simple interest

ความหมายของ Simple Interest แปลเป็นไทยคือ “ดอกเบี้ยอย่างง่าย”

Compound interest

ความหมายของ Compound interest แปลเป็นไทยคือ “การคิดดอกเบี้ยทบต้น”

Multiple interest accrual

Continuous interest accrual

Equivalence of interest rates in the compound interest scheme

Comparison of accruals at simple and complex interest rate

Discounting and interest deduction

Comparison of discounting at complex and simple discount rates

  • Effective discount rate
  • Multiplying and discounting multipliers

Rule of 70

  • Compound interest

Generalization of “Rule of 70

  • Simple interest
  • Continuous interest
  • Multiple interest accrual

Capital increase by an arbitrary number of times

The impact of inflation on the interest rate

  • Fisher’s formula
  • Inflation rate for several periods
  • Synergistic effect

Effective interest rate

  • Simple and compound interest
  • Multiple interest accrual
  • Adjustment for inflation
  • Adjustment for taxes
  • Equivalence of different interest rates

Internal rate of return

  • The concept of internal rate of return
  • Internal rate of return of typical investment flows
  • Internal rate of return of cash flows with alternating positive and negative payments
    • Currency transactions

    • Deposits with and without currency conversion
    • Dual-currency basket

    PART 2 – FINANCIAL FLOWS, ANNUITI