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Financial System


  • Financial System - group of institutions that match people's savings and investments together.

  • Financial Intermediary- a financial institution through which savers can provide funds to borrowers. Example: Commercial banks like Citibank

  • Bond - this is a loan or debt for a company or the government The person that buys the bond is the
    lender
    and the firm that sells the bond is the
    borrower
    . Example: If you buy $1000 bond from Apple Inc. that means you are lending Apple $1000 and they will pay you coupons (which are like interest payments).

Present Value=  Future Value (1+i)n\boxed{\text{Present\ Value} =\ \frac{\ Future\ Value}{\ (1 + i)^n} }

  • Example: If you have bought a bond that will pay you $1050 next year and the current market interest rate is 7%, then the present value (price) of this bond today is
    1050/1.07^1 = $981.31
  • If the interest rate increases, the price of the bond
    decreases
    .
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  • Stocks - represent equity, shares or ownership in a company. Example: If you buy $1000 of stocks in Apple Inc that means you are buying equity or ownership in the company. Stocks are generally
    more
    risky compared to bonds.
  • Mutual Fund - an institution that sells shares to the public and uses the money to buy a portfolio of stocks and bonds

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Example: Present Value

If the interest rate is currently 7%, the present value of $500 to be received in 4 years is:
A) $381.45
B) $640
C) $140.22
D) $570.44

A.


PV = Future Value(1+i)n  PV\ =\ \frac{Future\ Value}{\left(1+i\right)^n}\

5001.074=381.45\frac{500}{1.07^4}=381.45

Practice: Bonds

In general, if interest rates rise, this will be: