Everything Flashcards

1
Q

What is the interest conversion period? What is it denoted by?

A

The period between two successive interest payments, denoted by p.

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2
Q

What is an alternative name for interest conversion period?

A

Quotient of the time unit.

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3
Q

What denotes the interest per conversion period

A

i lower p

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4
Q

What denotes the nominal interest rate?

A

i upper p

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5
Q

If the nominal interest rate is 4% p.a compounded quarterly, how much interest is paid per quarter?

A

1%

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6
Q

If the nominal interest rate is 8% p.a compounded quarterly, how do you find the annual effective rate?

A

Divide 8% by 4 =2%

Find (1.02)^4 which gives the AER. (8.243%)

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7
Q

If interest is paid in advance, interest equals..?

A

Equals the rate of discount d (also applies pthly)

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8
Q

If m>n what is the inequality between i upper m and i upper n?

A

i upper m > i upper n

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9
Q

What relates the interest rate to the discount rate?

A

1(1+i) = 1-d

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10
Q

What is the formula for i given the force of interest?

A

i = e^δ -1

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11
Q

What is the formula for δ given the rate of interest?

A

δ = ln(1+i)

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12
Q

What is the formula for a compound discount loan of 1 year?

A

Future value x (1-d) = present value

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13
Q

What is the formula for the discount rate given the force of interest?

A

d = 1-e^(-δ)

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14
Q

What is the formula for i upper p given the force of interest?

A

i upper p = p(e^(δ/p)-1)

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15
Q

What is the formula for d upper p given the force of interest?

A

d upper p = p(1 - e^(-δ/p))

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16
Q

What is the present value for an annuity paying 50 pounds every month with i upper 12 = 0.05 for 3 years?

A

600 times a angle 3 upper 12

17
Q

What is the formula for i given d?

A

i = d/(1-d)

18
Q

What is the formula for d given i?

A

i/(1+i)

19
Q

What formula relates d to d upper p?

A

1-d = (1-(d upper p)/p)^p

20
Q

What formula relates a angle n to s angle n?

A

a angle n = v^n * s angle n

21
Q

What formula relates a double dot angle n to a angle n?

A

a double dot angle n = (i/d)*(a angle n)

22
Q

What formula relates s double dot angle n to s angle n?

A

s double dot angle n = (i/d)*(s angle n)

23
Q

What is the present value of a perpetuity immediate?

A

a angle infinite = 1/i

24
Q

What is the present value of a perpetuity due?

A

(1+i)/i