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simple interest
interest earned only on the original principal amount invested.
compound interest
interest earned on the interest reinvested from prior periods.
interest on interest
interest earned on reinvestment of previous interest payments
how do investments grow
simple interest
compound interest
annuity
a finite series of equal cash flows that occur at regular intervals.
ordinary annuity
cash flows occur at end of each period
annuity due
cash flows occur at the beginning of each period
perpetuity
an infinite series of equal cash flows that occur at regular intervals
example of ordinary annuity
student/auto/mortgage loans
example of annuity due
rent
example of perpetuity
consols
dividends on preferred stock
in annuity due each payment is moved forward one period
one less period to be discounted
one extra period to be compounded
EAR stands for
effective annual rate
effective annual rate represents…
the actual rate paid (or received) after accounting for compunding
APR stands for
annual percentage rate
annual percentage rate
the quoted interest rate that does not account for compounding
what are lenders required by law
to disclose the APR to potential borrowers
what to compute and use for comparison of different compounding periods
EAR (effective annual rate)
installment loans
provides a borrower with a lump sum of money that is repaid over a fixed period through scheduled, equal payments, or "installments”
bond
interest-only loan with principal repayment at maturity of the loan
face value (or par value)
principal payment of a bond that is repaid at the end of the term
coupon
annual or semi-annual payments to the bondholder
maturity due
the specified date on which the principal amount of a bond is repaid
yield of maturity (or yield)
the rate of return on a bond assuming it is held until maturity
yield to maturity (YTM) points
the rate implied by the current bond price
the return on a bond assuming it is held until maturity
finding the YTM requires…
trial and error if you do not have a calculator
par bond
price = face value
discount rate
price below face value
premium bond
price above face value
2 interest rate risks
price risk
reinvestment risk
interest risk
risk that arises for existing bondholders due to fluctuating interest rates
price risk
interest rates increases = bond prices decreases
interest rates decreases = bond prices increases
interest rates and bond prices
are inversely (or negatively) related
long-term bonds have
more price risk than short-term bonds
low coupon rates bonds have
more price risk than high coupon rate
reinvestment risk
uncertainty concerning rates at which cash flows can be reinvested
short-term bonds have more reinvestment rate risk
than long-term bonds
high coupon rate bonds have more reinvestment rate risk
than low coupon rate bonds
bebt (bond) characteristics
not an ownership interest
no voting rights
interest is tax deductible
creditors have legal recourse if interest or principal paymentd are missed.
excess debt can lead to financial distress and bankruptcy
equity characteristics
ownership interest
common stockholders vote to elect the board of directors and on other issues.
dividends are not tax deductible
dividends are not a liability of the firm until declared. Stockholders have no legal recourse if dividends are not declared
an all-equity firm cannot go bankrupt
bond indenture
a legal contract between the issuing company and the bondholders
the bond indentures include
the basic terms of the bonds
seniority
security
call provisions
the basic terms of the bonds
face value
coupon rate
years to maturity
seniority
senior vs. subordinated
security
secured vs. unsecured
bond ratings measures
the issuer’s default risk
bond rating and default risk
the likelihood that the issuer does NOT repay the debt
grade and ratings
Aaa/AAA - investment
Aa/AA - investment
A - investment
Baa/BBB - investment
Ba/BB - non-investment
B - non-investment
Caa/CCC - non-investment
Ca/CC - non-investment
C - non-investment
D - non-investment
government bonds
treasury securities
municipal securities (or “munis”)
treasury securities
bonds issued by the federal government
treasury securities (T’s)
T-bills
T-notes
T-bonds
T-bills
mature in one year or less
T-notes
mature between 1 and 10 years
T-bonds
mature in more than 10 years
municipal securities (or “munis”)
bonds issued by state and local government
interest received is tax-exempt at the federal level.