Selected topics in finite mathematics/Managing your money

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Objectives[edit]

Understanding the basics of finance and interest and applying them to real life situations.

Details[edit]

  • A checking account is a bank account in which the owner can deposit or withdraw money at any time. Writing checks or using a debit card are also ways to access funds.
  • A savings account is a bank account that enables the owner to deposit or withdraw money at any time.
  • A CD is a bank account that prevents the owner from depositing or withdrawing money until a certain maturity date. Interest for these accounts is typically higher.
  • Interest is a compensation paid by the bank for the use of your money. These can be reported in two different ways. A Nominal Rate, also called APR, is the sum of 12 monthly interest payments (if compounded monthly). Or as a Yield Rate, also called APY, which is the rate of change over the course of a year.
  • If i is an APR, then FV=PV(1+i/m)^(nm).
  • If i is an APY, then FV=PV(1+i)^n.

Examples[edit]

[There is 1% compounded interest every year on an account with a $100 initial deposit, so after a year, the account will hold $101 if no additional deposits or withdrawals are made.]

[Give an example of benefits associated with a checking account?]

[Give an example of fees associated with a savings account?]

[2% apy for two years after a $10000 deposit= $1404]

Nonexamples[edit]

FAQ[edit]

Homework[edit]

If $1,000 is invested at 2% APY for 3 years, how much is available after 3 years?


If $1,000 is invested at 2% APR for 3 years (compounded monthly), how much is available after 3 years?


What is the future value of $5,000 invested at 3% APY for 7 years?


What is the present value of a 4-year investment that matures for $2,000?


If you need access to your money after 3 years, which is a better option? A 3-year CD at 2% interest or 4-year CD at 2.1% interest?


If an account has 3% APR compounded monthly, what is its APY?


If an account has 3% APR compounded daily, what is its APY?

Homework Solutions[edit]