Answer:
It take to reach your goal is 11 years
Explanation:
given data
initial fixed amount = $42,180.53
deposit additional = $5,000
account totals = $250,000
expect to earn r = 12%
solution
we will apply Future value of annuity that is express as
Future value of annuity = initial fixed amount × 
+ deposit additional × 
......................a
put here value and we get
solve it we get
time t = 11
so it take to reach your goal is 11 years
An economy is operating at full employment, and then workers in the bread industry are laid off. this change is portrayed in the movement from C to F.
The economy in points A, B, C, and D is at full employment. Some employees make bread, while others make wine. Points F and G depict scenarios where the unemployment rate varies depending on the state of the economy. Point E illustrates a growing economy that is performing above its maximum level of employment. When the unemployment rate is between 4% and 5%, an economy is considered to be in full employment; nonetheless, frictional unemployment is always present.
Given that the economy was at full employment when the question was asked, but that unemployment then rose, the starting point must be A, B, C, or D, and the final position must be F or G. Only option D, from points C through F, makes sense.
An economy is operating at full employment, and then workers in the bread industry are laid off. this change is portrayed in the movement from C to F.
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Answer:
Explanation:
Games on school property redirect the attention of the students to the games, instead of learning. They cause further disobedience and will often be snuck out to play during class. The students will be distracted and will not learn anything from the time spent in school.
The proportion of the optimal risky portfolio that should be invested in stock A is 0%.
Using this formula
Stock A optimal risky portfolio=[(Wa-RFR )×SDB²]-[(Wb-RFR)×SDA×SDB×CC] ÷ [(Wa-RFR )×SDB²+(Wb-RFR)SDA²]- [(Wa-RFR +Wb-RFR )×SDA×SDB×CC]
Where:
Stock A Expected Return (Wa) =16%
Stock A Standard Deviation (SDA)= 18.0%
Stock B Expected Return (Wb)= 12%
Stock B Standard Deviation(SDB) = 3%
Correlation Coefficient for Stock A and B (CC) = 0.50
Risk Free rate of return(RFR) = 10%
Let plug in the formula
Stock A optimal risky portfolio=[(.16-.10)×.03²]-[(.12-.10)×.18×.03×0.50]÷ [(.16-.10 )×.03²+(.12-.10)×.18²]- [(.16-.10 +.12-.10 )×.18×.03×0.50]
Stock A optimal risky portfolio=(0.000054-0.000054)÷(0.000702-0.000216)
Stock A optimal risky portfolio=0÷0.000486×100%
Stock A optimal risky portfolio=0%
Inconclusion the proportion of the optimal risky portfolio that should be invested in stock A is 0%.
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Answer:
The present value of the promised gift will:
be less than $5,000.
Explanation:
The present value of $5,000 to be received in three years' time from today is less than $5,000 received. This is explained by the time value of money concept. If the $5,000 gift is discounted to today's value, using a discount factor of 0.751 (10% in three years' time), it would be $3,755 ($5,000 * 0.751). This means that $5,000 received in year 3 is less than $5,000 received today.
