3 : 3 - Financial Planning Assumptions Flashcards
Give examples of assumptions that may need to be made when performing calculations:
(9)
- future inflation rates
- future expenditure patterns
- rate of earnings increases
- investment and asset growth rates
- school and university fee increases
- annuity and/or pension drawdown rates
- future tax rates
- life expectancy
- future social security benefits
How should assumptions be justified?
By showing why the assumption is reasoned, reasonable and relevant to the client’s financial plan.
What is Simple interest?
It assumes that interest credited to the investment
does not earn further interest.
(In reality, when an investment or a deposit in an account grows, the principal as well as earned interest both earn further interest.)
What is the name of the original sum invested?
The principal sum OR the present value
EG:
Suppose you were to invest £1,000 for five years at an interest rate of 10%. If simple interest is calculated,
the total amount of interest earned will be as follows:
£1,000 × 0.10 × 5 = £500
The total value of the investment at the end of the five years (its future value) will therefore be £5,500
on this basis.
What is the Compound interest formula?
FV = PV x (1 + r)^n
FV = Future Value PV = Present Value r = periodic interest rate n = number of periods
What is Discounting?
The name for calculating the Present Value of a future lump sum
What is the Discounting formula?
This is done by simply rearranging the compounding formula to make PV the subject as below:
PV = FV ÷ (1 + r)n
(eg: PV = £30k ÷ (1.025)^22 = £17,425.94)
Calculating other variables: rearrange the equation to solve for ‘r’
r = √(FV/PV) – 1
Calculating other variables: rearrange the equation to solve for ‘n’
n = (log FV/PV) ÷ log(1 + r)
EG: Solving for r
Noah wishes to have £30,000 in place to pay university fees for Mason in 16 years’ time. If Noah currently
has £18,500 to invest, what rate of interest must an investment offer in order for his future financial goal
to be met?
r = 16 √(£30k/£18.5k) – 1
= 0.0306
(equivalent to 3.06%)
What is the definition of an Annuity?
An annuity is a series of equal sequential cashflows that will arise for a specified period of time.
What is the annuity formula?
PV = £Annuity x [ 1 - (1 = r)^-n ] ÷ [ r ]
- the exam calculator might actually be able to do this, look into this at some point (on page 209)
EG: Annuity formula
Mrs Adeboli wishes to have an annual income after retirement of £25,000. She anticipates that she may
live for a further 20 years after she retires. How much will she need at retirement in order to purchase a
suitable annuity. Use an interest rate of 3% for your calculations and assume that cashflows arise at the
end of each year.
PV = £25k x [ 1 - 1.03^-20 ] ÷ [ 0.03 ]
= £25k x 14.8775
= £371,937
** Calculator Guidance **
Check pages 209 - 212 for a guide on using the exam calculator to do these equations.
GET FAMILIAR WITH THESE.