Answer: arithmetic Average Return =11.33%
Geometric Average Return=10.33%
Explanation:
Returns per year
Year 1 16%
year 2 23%
year 3 15
year 4 -11%
year 5 30 %
year 6 -5%
Total = 68%
Arithmetic Average = Total returns 0f ( year 1 -6) / number of years
= 68%/6 =11.33%
Geometric Average Return is given as
= ((1 + R1) × (1 + R2) × ... × (1 +Rn))(1/n) - 1
((1 + 16%) × (1 + (23%)) × (1 + 15%) x (1+ -11%) x (1+30%) x (1+ -5%))^1/6 - 1
((1.16 x 1.23 x 1.15 x 0.89 x 1.30 x (0.95)) ^1/6
((1.16 x 1.23 x 1.15 x 0.89 x 1.30 x 0.95)) ^1/6 -1
(1.8035073 )^1/6 - 1
= 1.10328 -1 = 0.10328 x 100 = 10.328% =10.33%
If the required reserve ratio is 2.50 percent, the monetary multiplier is 40.
The money multiplier gives us the ratio of deposits to reserves (i.e. 1/R). That means, if the reserve ratio is 2.50% (i.e. 0.025), the money multiplier is 40 (i.e. 1/0.025). Thus, an initial deposit of USD 1,000 will end up creating a total of USD 40,000 in new money.
If the monetary multiplier is 5, the required reserve ratio is 20%.
Playing with the original multiplier formula, we can derive that R=1/m (m is money multiplier). If the money multiplier is 5, then the reserve ratio is 20% (i.e. 1/5 or 0.20).
Answer:
-0.33
Explanation:
The calculation of the price elasticity of demand using mid point formula is shown below:
= (change in quantity demanded ÷ average of quantity demanded) ÷ (percentage change in price ÷ average of price)
where,
Change in quantity demanded is
= Q2 - Q1
= 80 units - 100 units
= -20 units
And, the average of quantity demanded would be
= (80 units + 100 units) ÷ 2
= 90 units
Change in price is
= P2 - P1
= $2 - $1
= 1
And, the average of the price is
= ($2 + $1) ÷ 2
= 1.5
So, after solving this, the price elasticity of demand is -0.33
