Time Value and Investment Appraisal AND Debt and Equity Flashcards
What is simple interest
Interest is earned on principal only
What is compound interest
Interest is earned on both principal and interest
What is the time value of money
interest earned
The cost of replacing a fleet of company trucks with more energy efficient vehicles is £1 million in 2018. The cost is estimated to rise by 8.5% in 2019. If the interest rate is 4%, what is the cost of a delay in terms of GBP in 2018?
2018 £1m
2019 £1m*(1+8.5%)
2018 PV of £1.085m
PV = 1.085m/1.04= £1.0433m
The cost of a delay of one year = £0.0433m
What is the nominal interest rate NIR
quoted as an annual rate and interest is compounded more frequently than annually
What is effective interest rate EIR
the interest rate that produces the same yield as the nominal interest rate when compounded annually
What is the EIR formula
EIR = (1+ NIR/X)^X - 1
When the EIR is used
S = P (1+EIR)
What is perpetuity
cashflow that will occur at regular intervals forever
What is annuity
constant cashflow will occur at regular intervals for a finite number of periods
What is the NPV formula
PV(benefits) - PV(costs)
Cashflow/r - Costs
what happens to NPV if the cost of capital goes up while n remains constant
NPV drops as R rises
What is the IRR
the interest rate that sets the net present value of the cashflows to zero
What is the IRR investment rule
- Take any investments where the IRR exceeds the cost of capital
- Turn down any investment whose IRR is less than the cost of capital
How do you calculate IRR
CF/r - Costs = NPV
Calculate what r is when NPV = 0