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Annuity
A level stream of cash flows for a fixed period
of time
Annuities have a finite series of ____ payments that occur at ____ intervals
Equal, Regular
Ordinary Annuity
Cash flows occur at the END of each period
Annuity Due
Cash flows occur at the BEGINNING of each period
Annuity Due Formula
PV or FV of ordinary annuity * (1 + r)
Which annuity has a higher present value? (Ordinary or Due)
Annuity Due
Increasing the payment amount would ____ the present value of an Annuity
Increase
Increasing the number of time periods would ____ the present value of an Annuity
Increase
Increasing the discount rate would ____ the present value of an Annuity
Decrease
Decreasing the annuity amount would ____ the present value of an Annuity
Decrease
Which type of annuity is more common?
Ordinary Annuities
Perpetuity
Annuities where cash flows continue forever
Examples of Perpetuities
Common stock, College endowment
Why does a perpetuity have finite present value?
Each payment gets more heavily discounted over time
Compounding Period
Tells how often interest is added to an investment
More frequent compounding leads to a ____ final value
Higher
Annual Percentage Rate (APR)
The stated or quoted rate
Calculating APR Formula
Periodic Rate * # Of periods per year
Periodic Rate Formula
APR / Periods per year
Effective Annual Rate (EAR)
The interest rate expressed as if it were compounded once per year
Which rate is used to compare different investments?
Effective Annual Rate (EAR)
Pure Discount Loan
The borrower receives money today and repays a single lump sum at some time in the future
Interest Only Loan
The borrower pays interest each period and repays the entire principal at some point in the future
Amortized Loan
The borrower makes regular interest payments plus regular reductions in the principal
Capital Structure
The way a company finances its assets through debt and equity
Leverage Ratios
Represent the proportion of a firm's capital that is obtained through debt
Total Debt Ratio
Debt/Assets
Debt to Equity Ratio
Debt/Equity
Equity Multiplier
Assets/Equity
Bank Loans
• Relationship is with a bank
• More suitable for short-term needs
• May be only option for small and medium
size companies
• Tend to have restrictive covenants
• Repayment includes interest and a portion of
principal
• Typically floating-rate
• Not a tradeable security
Corporate Bonds
• Relationship is with a group of investors
• More suitable for longer-term investments
• Need to be an established company with a
track record of profits
• Repayment is interest only until the maturity
date
• Interest rates tend to be lower than bank
loans
• Typically fixed-rate
• Securities regulated by the SEC
A _____ is more suitable for short-term needs
Bank Loan
____ are usually the only options for small and medium size companies
Bank Loans
____ tend to have restrictive covenants
Bank Loans
_____ payments include interest and part of the principal
Bank Loan
____ are typically floating rate
Bank Loans
____ are not a tradable security
Bank Loans
____ are more suited for long-term investments
Corporate Bonds
You must be an established company with a track record of profits in order to get a ____
Corporate Bond
For ____, you only pay interest until the maturity date
Corporate Bonds
____ are typically fixed rate
Corporate Bonds
____ are regulated by the SEC
Corporate Bonds
Bond
A debt contract between a borrower (Corporate or Government) and an investor
Bonds are also called
Fixed Income Securities
Par (Face) Value
The principal amount of a bond that is repaid at the end of the term
Coupon Payment
The stated interest payment of the bond
Coupon Rate
The annual coupon divided by the face value of a bond
Maturity
The specified date on which the principal amount of a bond is paid
Yield to Maturity
The rate of return that the market
requires for bonds of similar risk and maturity
Price of the bond
How much the buyer will pay for the bond today
Municipal Securities
Debt of state and local governments
Interest received on ____ is tax exempt at the federal level
Municipal Securities
Treasury Securities
Bonds issued by the US Government
Pure Discount Bonds
Bonds that have no interest or coupon rate
Pure Discount Bonds are also called ____
Zero Coupon Bonds
____ can't be sold for more than their par value
Pure Discount Bonds
Discount Bond
A bond selling at lower than its par (face) value
Premium Bond
a bond selling for greater than its par (face) value
Par Value Bond
A bond that sells for its par value
A Bond is premium when
Coupon Rate > YTM
Price > Par Value
A Bond is at par value when
Coupon Rate = YTM
Price = Par Value
A Bond is at a discount when
Coupon Rate < YTM
Price < Par Value
If interest rates increase, then the present value of bonds will ____
Decrease
If interest rates increase, then the price of bonds will ____
Decrease
If interest rates decrease, then the present value of bonds will ____
Increase
If interest rates decrease, then the price of bonds will ____
Increase
Current Yield
A bond's annual coupon divided by its market price
The coupon rate is based on a bond's ____ while current yield is based on a bond's ____
Face Value, Current Market Price
If Yield to Maturity decreases, the present value of a bond will ____
Increase
Interest Rate Risk
The risk that arises for bond owners from fluctuating interest rates
Long-term bonds have ____ price risk than short term bonds
More
High coupon rate bonds have ____ price risk than low coupon rate bonds
Less
The Fisher Effect
Defines the relationship between nominal rates, real rates, and inflation
Default Risk
The risk to bondholders resulting from a company not paying the interest and principal on their bonds