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%
Answer:
B. Holly's statement is normative, but Ben's is positive.
Explanation:
Positive statements are based on objective deduction of what is, or was. It is based on facts. Ben's comment "an increase in the tax on beer will raise its price", is an example of positive statement.
Normative statements are subjective and based on individual values and judgement. In her statement Holly appears to be biased against drinking much. She says "taxes should be increased on beer because college students drink too much." Is a normative statement.
