Examples of M1 in the following topics:
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- A broader measure of money than M1 includes not only all of the spendable balances in M1, but certain additional assets termed "near monies".
- The M1 money supply increases by $810 when the loan is made (M1=$1,710).
- The total M1 money supply didn't change; it includes the $400 check and the $500 left in the checking account (M1=$1,710).
- M1 and her checking account do not change, because the check is never cashed (M1=$1,710).
- This creates promise-to-pay money from a previous promise-to-pay, inflating the M1 money supply (M1=$2,439).
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- M2 is a broader measure of the money supply than M1, including all M1 monies and those that could be quickly converted to liquid forms.
- M2 consists of all the liquid components of M1 plus near-monies.
- Near monies are relatively liquid financial assets that may be readily converted into M1 money.
- This would cause M1 to decrease by $1,000, but M2 to stay the same.
- The M2 aggregate includes M1 plus near-monies.
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- $\frac{1}{2}m_1\cdot v_{1i}^2+\frac{1}{2}m_2\cdot v_{2i}^2=\frac{1}{2}m_1\cdot v_{1f}^2+\frac{1}{2}m_2\cdot v_{2f}^2$ (due to conservation of kinetic energy)
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- $\displaystyle M_2 = \frac{1}{\gamma M_1}, \frac{\rho_2}{\rho_1} = \gamma M_1^2, \frac{P_2}{P_1} = \gamma M_1^2.$
- $\displaystyle \frac{q_1}{q_2} = \gamma^2 M_1^2 \frac{(\gamma-1) M_1^2 + 2}{2 \gamma^2 M_1^2 + \gamma - 1}.$
- For large values of $M_1$ the initial energy flux is much larger than the final energy flux.
- At the other end the minimum value of $M_1$ is of course unity.
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- Calculate the change in the M1 definition of the money supply if the Fed purchases $50,000 in U.S. government securities.
- Compute the change in the M1 definition of the money supply if the Fed sells $10,000 in U.S. government securities.
- Calculate the change in the M1 definition of the money supply if a person deposits $1,000 in cash into his checking account.
- Compute the change in the M1 definition of the money supply if a person withdraws $5,000 in cash from his checking account.
- Calculate the M1 and M2 money multipliers.
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- We define the money supply (M1) as the currency in circulation (C) plus checkable deposits (D), written as M1 = C + D.
- Money multiplier (m) equals the ratio between the money supply (M1) and the monetary base (B) or as M1= m x B.
- The B's would cancel, and M1 still equals M1.
- Similarly to the M1, we start with Equation 16.
- The M2 money multiplier exceeds the M1 always.
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- In addition to the commonly used M1 and M2 aggregates, several other measures of the money supply are used as well.
- In addition to the commonly used M1 and M2 aggregates, there are several other measurements of the money supply that are used as well .
- M1: The total amount of M0 (cash/coin) outside of the private banking system plus the amount of demand deposits, travelers checks and other checkable deposits.
- M2: M1 + most savings accounts, money market accounts, retail money market mutual funds, and small denomination time deposits (certificates of deposit of under $100,000).
- This new type of money is what makes up the non-M0 components in the M1-M3 statistics.
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- where M1 - M2 is the difference between sample means, tCL is the t for the desired level of confidence, and $(S_{M_1-M_2})$ is the estimated standard error of the difference between sample means.
- where M1 is the mean for group 1 and M2 is the mean for group 2.
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- Let's define the Mach number of the incoming flow as $M_1=v_1/c_s$ and rewrite the fifth equation in this section as
- $\displaystyle \frac{P_2}{P_1} = 1 + \frac{\rho_1}{P_1} v_1^2 - \frac{\rho_2}{P_1} v_2^2 = 1 + \gamma M_1^2 \left ( 1 - \frac{\rho_1}{\rho_2} \right ).$
- $\displaystyle \frac{\rho_2}{\rho_1} = \frac{v_1}{v_2} = \frac{(\gamma+1) + (\gamma+1) ( M_1^2 - 1 )}{(\gamma+1)+(\gamma-1) (M_1^2-1)} = \frac{(\gamma+1) M_1^2}{2 + M_1^2 (\gamma-1)} \\ \displaystyle \frac{P_2}{P_1} = \frac{(\gamma+1) + 2\gamma (M_1^2 - 1)}{(\gamma+1)} = \frac{1-\gamma + 2 M_1^2 \gamma }{(\gamma+1)}, \\ \displaystyle \frac{T_2}{T_1} = \frac{(1-\gamma+2 M_1^2 \gamma) [2 + M_1^2 (\gamma-1)]}{(\gamma+1)^2 M_1^2} \\ M_2^2 = \frac{(\gamma+1)+(\gamma-1) (M_1^2-1)}{(\gamma+1) + 2\gamma (M_1^2 - 1)} = \frac{2+M_1^2(\gamma-1) }{1 - \gamma + 2 M_1^2\gamma}$
- where intermediate expressions are given to show that if $M_1>1$, then $(p_2,V_2$, $P_2>P_1$$P_2>P_1$$M_1$and $M_1$.
- $\displaystyle M_1^2 =\frac{\Delta p}{\Delta V} \Big / {\left .
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- The sampling distribution of the difference between means can be thought of as the distribution that would result if we repeated the following three steps over and over again: (1) sample n1 scores from Population 1 and n2 scores from Population 2, (2) compute the means of the two samples (M1 and M2), and (3) compute the difference between means, M1 - M2.
- The subscripts M1 - M2 indicate that it is the standard deviation of the sampling distribution of M1 - M2.