You are presented with the following equation: (1+r) = (1+i ) / (1 +π). Expand the...
You are presented with the following equation: (1+r) = (1+i ) / (1 +π).
Expand the expression to solve for i. What assumption is required for this expression to be equal to the Fischer equation?
Homework Answers
Cross multiply will result in
1 + π + r + πr = 1 + i
This gives i = π + r + πr
This is the expression to solve the nominal interest rate
We know that fischer equation is i = r + π. The above expression can be converted into Fischer equation if we assume that πr is approximately 0.
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You are presented with the following equation: (1+r) = (1+i ) /
(1 +π).
Expand the...
Solve the following equation in the interval [0, 2 π]. Note: Give the answer as a...
Solve the following equation in the interval [0, 2 π]. Note: Give the answer as a multiple of π. Do not use decimal numbers. The answer should be a fraction or an integer. Note that π is already included in the answer so you just have to enter the appropriate multiple. E.g. if the answer is π/2 you should enter 1/2. If there is more than one answer enter them separated by commas. 2(cos(t))^2−cos(t)−1=0
Suppose the signal x[n] = δ[n-1] + cos(nn/6+ π/4) is input to the LTI system described by the equation y[n][n] +r|n - 0.5yn -. Determine a closed-form expression for yn] Suppose the signal x[n]...
Suppose the signal x[n] = δ[n-1] + cos(nn/6+ π/4) is input to the LTI system described by the equation y[n][n] +r|n - 0.5yn -. Determine a closed-form expression for yn]
Suppose the signal x[n] = δ[n-1] + cos(nn/6+ π/4) is input to the LTI system described by the equation y[n][n] +r|n - 0.5yn -. Determine a closed-form expression for yn]
7.4 Solve the Laplace equation Δ11-0 in the square 0 < x, y < π, subject to the bound- ary condition 11(0, y) u(T, y) = 0. 11(x, 0) = 11(x, π) = 1, = 1/(π, y) = 7.4 Solve the Laplace equat...
7.4 Solve the Laplace equation Δ11-0 in the square 0 < x, y < π, subject to the bound- ary condition 11(0, y) u(T, y) = 0. 11(x, 0) = 11(x, π) = 1, = 1/(π, y) =
7.4 Solve the Laplace equation Δ11-0 in the square 0
For this question, assume that the Philips curve equation is represented by the following equation π,...
For this question, assume that the Philips curve equation is represented by the following equation π, rate of unemployment? π, 1 m + z au, which of the following will NOT cause an increase in the natural O An increase in the expected rate of inflation O a reduction in m O an increase in α a reduction in z
Use Pascar's triangle to expand the expression x- 2y) express your answer i. 'erms of r,...
Use Pascar's triangle to expand the expression x- 2y) express your answer i. 'erms of r, where ,-서 γ.rn and z " t "there is no soden, meer No saumi.) に、 , y, a)
4. (2.5 PTS) Assume the following Phillips curve: where π is the inflation rate, π et...
4. (2.5 PTS) Assume the following Phillips curve: where π is the inflation rate, π et is the expected inflation rate, ut the unemployment rate, un the natural rate of unemployment. The rule of expectations is π e.-π t-1 The economy is initially (t-0) in medium term equilibrium, with the unemployment rate equal to 10% and the inflation rate equal to 8%. a) Suppose the monetary authority decides to lower the inflation rate to 2%. It faces two options: i)...
For 0 x π , 0S9, π , and 120 , solve the 2-D wave equation subject to the following conditions. u(0,y,t)-0, u(T.yt):0, u(x,0,) u(x,π, t) 0, 0 Boundary condition: C11 1 u(x),0)-sin(x)sin(2y) + sin(2x)...
For 0 x π , 0S9, π , and 120 , solve the 2-D wave equation subject to the following conditions. u(0,y,t)-0, u(T.yt):0, u(x,0,) u(x,π, t) 0, 0 Boundary condition: C11 1 u(x),0)-sin(x)sin(2y) + sin(2x)sin(4y), 0 at It=0 Initial condition:
For 0 x π , 0S9, π , and 120 , solve the 2-D wave equation subject to the following conditions. u(0,y,t)-0, u(T.yt):0, u(x,0,) u(x,π, t) 0, 0 Boundary condition: C11 1 u(x),0)-sin(x)sin(2y) + sin(2x)sin(4y), 0 at It=0 Initial condition:
Consider the Taylor-Rule equation and the following values given: π t = the...
Consider the Taylor-Rule equation and the following values given: π t = the actual annual expected inflation rate at time t =? π * = the target annual expected inflation rate = 2.0% yt = the actual annual GDP growth rate at time t = 3.5% y* = the economy’s potential annual GDP growth rate = 2.5% r * = the neutral real fed funds rate = 2.0% β = .5 ...
Show all steps. SHOW ALL WORK Section Number rsStudent Number In| Expand the given logarithm and...
Show all steps.
SHOW ALL WORK Section Number rsStudent Number In| Expand the given logarithm and simplify: I. ry 2. Using the properties of logarithms, write the following expression as a single logarithm: 2log,(x)log,)+log,() 3. Solve the following equations analytically: a. 52-125 35x+1-171-r b.
Consider the problem of estimating π using a unit square centered at (1/2, 1/2) and an...
Consider the problem of estimating π using a unit square
centered at (1/2, 1/2) and an inscribed circle inside the square.
We will estimate π by simulating n darts. For the nth dart, if the
dart is inside the circle, then we return In = 1; otherwise, we
return In = 0.
1. Are I1, I2, · · · , In independent? Under what
assumption?
2. Are I1, I2, · · · , In identically distributed?
3. Let p represent...
Suppose the signal x[n] = δ[n-1] + cos(nn/6+ π/4) is input to the LTI system described by the equation y[n][n] +r|n - 0.5yn -. Determine a closed-form expression for yn]
Suppose the signal x[n] = δ[n-1] + cos(nn/6+ π/4) is input to the LTI system described by the equation y[n][n] +r|n - 0.5yn -. Determine a closed-form expression for yn]
7.4 Solve the Laplace equation Δ11-0 in the square 0 < x, y < π, subject to the bound- ary condition 11(0, y) u(T, y) = 0. 11(x, 0) = 11(x, π) = 1, = 1/(π, y) =
7.4 Solve the Laplace equation Δ11-0 in the square 0
For this question, assume that the Philips curve equation is represented by the following equation π, rate of unemployment? π, 1 m + z au, which of the following will NOT cause an increase in the natural O An increase in the expected rate of inflation O a reduction in m O an increase in α a reduction in z
Use Pascar's triangle to expand the expression x- 2y) express your answer i. 'erms of r, where ,-서 γ.rn and z " t "there is no soden, meer No saumi.) に、 , y, a)
4. (2.5 PTS) Assume the following Phillips curve: where π is the inflation rate, π et is the expected inflation rate, ut the unemployment rate, un the natural rate of unemployment. The rule of expectations is π e.-π t-1 The economy is initially (t-0) in medium term equilibrium, with the unemployment rate equal to 10% and the inflation rate equal to 8%. a) Suppose the monetary authority decides to lower the inflation rate to 2%. It faces two options: i)...
For 0 x π , 0S9, π , and 120 , solve the 2-D wave equation subject to the following conditions. u(0,y,t)-0, u(T.yt):0, u(x,0,) u(x,π, t) 0, 0 Boundary condition: C11 1 u(x),0)-sin(x)sin(2y) + sin(2x)sin(4y), 0 at It=0 Initial condition:
For 0 x π , 0S9, π , and 120 , solve the 2-D wave equation subject to the following conditions. u(0,y,t)-0, u(T.yt):0, u(x,0,) u(x,π, t) 0, 0 Boundary condition: C11 1 u(x),0)-sin(x)sin(2y) + sin(2x)sin(4y), 0 at It=0 Initial condition:
Show all steps.
SHOW ALL WORK Section Number rsStudent Number In| Expand the given logarithm and simplify: I. ry 2. Using the properties of logarithms, write the following expression as a single logarithm: 2log,(x)log,)+log,() 3. Solve the following equations analytically: a. 52-125 35x+1-171-r b.
Consider the problem of estimating π using a unit square
centered at (1/2, 1/2) and an inscribed circle inside the square.
We will estimate π by simulating n darts. For the nth dart, if the
dart is inside the circle, then we return In = 1; otherwise, we
return In = 0.
1. Are I1, I2, · · · , In independent? Under what
assumption?
2. Are I1, I2, · · · , In identically distributed?
3. Let p represent...
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