Week 2 - Investment and time Flashcards
What are the two types of interest?
And how do they differ?
- Simple and compound
- Simple: Interest (i) paid (earned) only on the original amount (principal - P) borrowed (lent)
- Compound: Interest paid (earned) on the principal borrowed (lent) as well as any previous interest earned
Formulae for simple interest
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Formulae for compound interest
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Formulae for return
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What are the types of cash flows?
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- What table is FV of a lump sum?
- What table is FV of an annuity?
- What causes a high FV? (except the amount)
- 1
- 2
- higher interest rate + number of periods (further into the future)
When is compounding used instead of discounting?
- Future Value = compounding
- Present Value = discounting
Which tables show discounting factors for (1) lump sum (–>PV) (2) ordinary annuity (–>PV)
3 + 4
What is a perpetuity?
give an example
what is the formulae?
- Cashflow without a fixed time horizont
- 1000 per year forever
- PV=CF/i
What decide the size of the present value?
- interest rate + number of periods
- high i –> low PV
- high n –> Low PV
What is intra-year compounding?
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What is the formulae for continuous compounding?
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What is deffered annuities?
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What is the difference between regular annuities and annuity due?
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When doing Loan Amortization what formulae should you use?
And how do you get to the Payment CF from there?
And what does it show?
- PVA (present value of an ordinary annuity)
- amount/discounting factor
- Given the i and n, what is the stream of payments (cash flows), that equals, in PV terms, the value of the loan
Difference between effective and periodic rate?
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What is the APR?
- how does the APR graph look like?
- Annual Pertage Rate
- APR is the equivalent interest rate considering all extra costs –> its the net effective cost of borrowing
- Seek the loan with the lowest APR
HOWEVER, APR can include (exclude) any costs in its calculation (so in essence it is a subjective figure)
- So it is not a good starting point for choosing a loan
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