E1 P2- Lectures 2-4 Flashcards
What is the foundation of any investment transaction?
sacrifice of present cash flow for a future cash flow
When an investment is made compenstion must be made because of 3 things. What are they ?
- Level of impatience - waiting for your cash
- Risk - uncertainty of income
- Inflation - purchasing power of money may drop
What does a dollar today > a dollar tomorrow mean?
Money has a time-value, having it today is more valuable as you could invest it and earn an interest.
What does interest rate tell you?
How high the rewards are / how costly borrowing is
What is FV?
Future Value - it is the amount an investment will grow at the end of a period after gaining interest
What is PV?
Present Value - the value today of a future cashflow
What is discount rate?
The interest rate used to discount cash flows received in future years. It is the opportunity cost of capital, given the risk of future cash flows.
Exam tip: what is helpful when working out PV and using discount rates?
Put on timeline
The longer you have to wait for your money the less it is worth today. What does this mean for discount rates and present value?
The higher the discount rate, the lower the PV
What is a perpetuity?
A constant stream of identical cash flows that lasts forever.
Give 3 examples of perpetuities
- Real estate
- Consols (perpetual bonds)
- Shares (Gordon growth model)
What is the difference between an annuity and a perpetuity?
A perpetuity has no termination date
What is a growing perpetuity?
A stream of cash flows that grow at a constant rate forever?
What is an annuity?
A stream of constant cash flows that last for a fixed number of periods
When is an annuity ordinary?
When cash flows occur at the end of each period
Give 3 examples of an ordinary annuity
Equities, bonds, regular loans
What is it called when an cash flows occur at the beginning of a period?
It is an Annuity due
Give 3 examples of annuities due. Why is this the case?
rent, phone bills, insurance coverage
remember it is like paying for a service, you must pay first to use
Whenever you are working out the PV of a perpetuity, what must you do on a timeline?
Discount it until you are back to year 0
How do you do derive annuities from perpetuities?
It is the difference between an annuity starting from year 1 and one from year 1 + t
equation wise it is the expanded PV of an annuity one - c/r (1 - 1/(1+r)
Define a coupon and coupon rate
Coupon - periodic interest paid on a bond
Coupon rate - the interest rate expressed as a % of the face value and paid until maturity
What market do bonds operate in?
Bought and sold in the secondary market
What is the face/par/principle value of a bond?
Is the principal payment at the maturity of a bond
Define a bond
Debt security that gives the owner an enforceable right to certain future payments (coupon payments).
Name the 6 types of bonds.
- Plain vanilla / single-dated / straight
- Zeros
- Strips
- Index-linked
- Consol / undated / perpetual
- Floaters / floating rate