Finance Week 4 Flashcards

1
Q

What are perpetuities and annuity’s?

A

They are time value of money equations for the stream of cash flows where all cash flows are equal sizes and occur at regular intervals

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2
Q

What is a Perpetuity?

A

Stream of future cash flows where cash flows are equal in size, occur at regular intervals and continue forever e.g. preferred stock

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3
Q

How do you calculate a perpetuity?

A

PV = C/r

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4
Q

What is an annuity?

A

Stream of future cash flows that are of equal size, occur at regular intervals and continue for a finite period of time

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5
Q

How do you calculate an annuity?

A

PV=C* (1/r-) 1/r * (1 +r)^t

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6
Q

What do you do if asked how much money you saved over a period of time at a certain interest rate if you deposit over time?

A

Calculate PV of the annuity followed by the future value of it

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7
Q

What is the effective interest rate?

A

The effective interest rate compares interest rates quoted for different periods of time (months vs years)

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8
Q

What is the effective annual interest rate?

A

EAR is the annual interest rate that accounts for compound: EAR =(1+monthly rate)^12 - 1

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9
Q

Why is effective annual interest rate different?

A

It accounts for the compounding

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10
Q

What is the APR?

A

APR = monthly rate * 12 - it is incorrect interest rate but it is used in practice

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11
Q

What is inflation?

A

Inflation is about how prices in the economy as a whole are increasing

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12
Q

What is the inflation rate?

A

the rate at which prices as a whole are increasing/

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13
Q

What does it mean if inflation is high?

A

It means that the purchasing power of money erodes

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14
Q

How is the inflation rate measured?

A

It is measured as the annual change of the Consumer Price Index (CPI)- CPI measures the # of dollars needed to buy specific basket of goods & services that represent typical family purchase

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15
Q

What is the difference between nominal and real interest rate?

A

Nominal interest rate is the interest rate at which money grows and real interest rate is rate at which purchasing power for G&S grows.

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16
Q

How do you calculate the real interest rate?

A

(1 + real interest rate) = (1 + nominal interest rate / 1 + inflation rate)

17
Q

What can the real interest rate be used for?

A

This can be used to discount real cash flows to the present using TVM calculations. E.g. buying a car in 4 years how much do you need to save including inflation.

18
Q

When does annuity come?

A

End of year

19
Q

What if don’t have to pay cashflows now but in a couple years?

A

Find FV of the money and use this as the PV in the calculation

20
Q

What does annuity include?

A

Annuity includes the PV not the FV

21
Q

If first payment made in 4 years, how many years do you put when calculating PV?

A

3- because first payment is made at end of the year