Formula Flashcards

1
Q

Weighted nominal effective exchange rate (arithmetic)

A

Et = sum(wtVt)

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2
Q

Trade-weighted average

A

w = (Xi + Mi) / sum(Xi + Mi)

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3
Q

Normalised weights

A

w = wi / sum(wi)

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4
Q

Unweighted nominal effective exchange rate (arithmetic)

A

Et = average of all Vt

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5
Q

Nominal effective exchange rate (geometric weighted average)

A

Et = product(V^w)

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6
Q

Relative exchange rate

A

Vt = St/S0

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7
Q

Real exchange rate

A

Q(x/y) = S(x/y) * (Py/Px)

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8
Q

Real effective exchange rate (arithmetic)

A

Qt = sum(w * (Qt/Q0))

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9
Q

Real effective exchange rate (geometric)

A

Qt = product ((Qt/Q0)^wi)

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10
Q

Foreign currency value of imports (Demand)

A

Df = Qm x Pm*

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11
Q

Foreign currency value of exports (Supply)

A

Sf = Qx x Px*

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12
Q

PPP

A

P = S(d/f) x P*

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13
Q

LOP

A

Pi = S(d/f) x Pi*

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14
Q

RPPP

A

change(S(d/f)) = change(P) - change(P*)

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15
Q

Quantity theory

A

P = M/(kY)

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16
Q

CIP

A

(1 + i) = F/S (1 + i*)

17
Q

Forward margin

A

f = (F - S)/S

18
Q

Approximate CIP

A

i = f + i*

19
Q

UIP

A

(1 + i) = Se/S (1 + i*)

20
Q

Approximate UIP

A

i = se + i*

21
Q

Exchange rate spread

A

se = (Se - S) / S

22
Q

Mean absolute error (MAE)

A

MAE = 1/n sum(abs value(St(hat) - St))

23
Q

Mean squared error (MSE)

A

MSE = 1/n sum(St(hat) - St)^2

24
Q

Real mean square error (RMSE)

A

RMSE = root(MSE)

25
Q

Forward spread

A

f = (F - S) / S

26
Q

Expected Value

A

E[X] = sum(pi x Si)

27
Q

Variance

A

Var[X] = E[X^2] - E[X]^2

28
Q

Population mean

A

S(bar) = 1/t sum(St)

29
Q

Sample variance

A

1/(t-1) sum(St - S(bar))^2

30
Q

Mean absolute deviation (MAD)

A

MAD = 1/n sum [abs(St - St)]

31
Q

Downside semi-variance (DSV)

A

1/(n-1) sum(Sn - S(bar))^2

for Sn < S