The applicable formula is;
A = P(1-r)^n
Where;
A = Final purchasing power
P = Current purchasing power
r = inflation
n = Number of years when P changes to A
Confirming the first claim:
A = 1/2P (to be confirmed)
P = $3
r = 7% = 0.07
n = 10.25 years
Using the formula;
A = 3(1-0.07)^10.25 = 3(0.475) ≈ 3(0.5) = $1.5
And therefore, A = 1/2P after 10.25 years.
Now, give;
P = $9
A = 1/4P = $9/4 = $2.25
r = 6.5% = 0.065
n = ? (nearest year).
Substituting;
2.25 = 9(1-0.065)^n
2.25/9 = (1-0.065)^n
0.25 = (1-0.065)^n
ln (0.25)= n ln(1-0.065)
-1.3863 = -0.0672n
n = (-1.3863)/(-0.0672) = 20.63 years
To nearest year;
n = 21 years
Therefore, it would take approximately 21 years fro purchasing power to reduce by 4. That is, from $9 to $2.25.
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Answer:
The answer is A. demand for money falls and the interest rate falls
Explanation:
The demand for money is the amount of money or amount of wealth households or businesses choose to hold in the form of money(cash or cash-equivalent).
When the price level decreases, the purchasing power of consumers increases, so consumers' demand for money will be reduced or lower. The transactional demand for money will be reduced.
Also when price level decreases, interest rate falls. Because the purchasing power of consumers has been increased, the excess money will be kept in banks and the increases the money supply. So with an increase in money supply, interest rate will be reduced to encourage borrowing.
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