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Lecture notes

Business Mathematics

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  • Module
  • FINC - Finance
  • Institution
  • FINC - Finance

The documents provides a deep and detailed explanation of business mathematics concept. The documents will cover areas such as Compound interest, deferred annuities, perpetuities, loan amortization and mortgages, ordinary simple annuities, ordinary general annuities and investment decision applica...

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  • November 8, 2024
  • 59
  • 2022/2023
  • Lecture notes
  • John
  • Class 13
  • FINC - Finance
  • FINC - Finance
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Business Mathematics
Ch 13 - Annuities Due, Deferred Annuities,
and Perpetuities



MGMT 1001

,LEARNING OBJECTIVES – Chapter 13

§ Compute the future value, present value, periodic
payment, term, & interest rate for simple annuities due
§ Compute the future value, present value, periodic
payment, term, & interest rate for general annuities due
§ Compute the future value, present value, periodic
payment, term, & interest rate for ordinary deferred
annuities
§ Compute the future value, present value, periodic
payment, term, & interest rate for deferred annuities due
§ Compute the present value, periodic payment, & interest
rate for ordinary perpetuities, perpetuities due, and
deferred perpetuities

2

,13.1 Simple Annuities Due

Payments are made at
the beginning
of each payment interval.

PMT PMT PMT PMT PMT PMT
Annuity
Due
0 1 2 3 4 N-1 N

APPLICATIONS
• Leases
• Rental Properties Modify the math of
• Membership dues Ordinary Annuities

3

, Ordinary Annuities vs. Annuities Due


PMT PMT PMT PMT PMT PMT
Ordinary
Annuity
0 1 2 3 4 N-1 N



PMT PMT PMT PMT PMT PMT
Annuity
Due
0 1 2 3 4 N-1 N

PV (Ann) FV (Ann)

4

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