Lecture 2 Flashcards
Present Value
Current value of a future cash flow
Future Value
Amount to which an investment will grow after earning interest
Principal
Original amount of money
Risk premium
Is the additional return an investor expects to earn from an investment to compensate for the higher risk compared to a risk free asset
The Discount Factor
- Is a multiplier that reduces the future value of cash flows to their present value
- It measures the present value of 1 unit of currency received at the end of year t
Perpetuity
Is a financial concept in which a cash flow is theoretically received forever (in perpetuity)
Perpetuity Due
If the perpetuity starts immediately it is called perpetuity due
Growing perpetuity
Is a cash flow stream which will continue indefinitely with the cash flow amount increasing at a constant rate
Annuity
An annuity is an asset that pays a series of identical payments made over a period of years e.g. house mortgage
Annuity factor
- Is the cumulative impact of multiple discount factors for equal periodic payments
- Is derived by summing the discount factors for each period within the annuity
Annuity due
- An annuity due is a financial arrangement when a series of equal payments or cash flows are made or received at the beginning of each period rather than at the end
- The level stream of payments starts immediately e.g. most lease or rental agreements
A Growing Annuity
A finite stream of cash flows (for t years) growing at a rate g
Amortising Loan
- Is repaid in regular instalments covering both principal and interest, reducing the outstanding balance over time
- In amortizing loans, the monthly payments are fixed, but the proportion of interest and principal
changes over time - At the start, the loan balance is higher so a larger portion of the payment goes toward interest
- As the balance decreases the interest portion reduces and more of the payment goes toward the principal
Continuous Compounding
- This describes a situation where payments are spread evenly and continuously throughout the year so the interest rate is continuously compounded
- Continuous compounding is a theoretical concept as it assumes that interest is compounded an infinite number of times per unit of time rather than discrete intervals e.g. annually, quarterly or daily