Answer:
percentage of your salary save each year is 13.24%
Explanation:
given data
time period t = 25 year
amount = $1.1 million
salary = $61000
increase r1 = 4 percent per year = 0.04
return r2 = 10 percent = 0.1
to find out
what percentage of your salary must you save each year
solution
we consider here annual saving = A
so amount formula is
amount = A × 
here A is annual saving and r1 is increase rate and r2 is return rate
1100000 = A × 
A = $8079.45
so
proportion of salary is 
proportion of salary = 13.24%
so percentage of your salary save each year is 13.24%
Answer:
Expected return is: 7.37% and the Standard deviation is: 24.96%
Explanation:
Correlation between fund S&B=0,0667
Standard Deviation of Fund S=41%
Standard Deviation of Fund(B)=30%
E(R) of Stock Fund S=12%
E(R) of Stock Fund B=5%
Covariance between the funds = Standard Deviation of Fund(B) × Standard Deviation of Fund S × correlation between these funds
Cov = 0.41 × 0.30 × 0.0667 = 0.008204
Now minimum variance portfolio is found by applying:
W min(S)=(SDB)^2-Cov(B,S) / ((SDS)^2+(SDB)^2-2Cov(B,S)
W min(S) = 0.338431
W min(B) = 1-0.338431=0.661569
1) E(r)min= 0.338431 × 12% + 0.661569 × 5% = 7.37%
2) Standard Deviation:
SD Min = (Ws^2XSDs^2+Wb^2XSDb^2+2XWsWb*Cov(s,B)^1/2
SDmin=(0.338431^2 × 0.41^2 + 0.661569^2 × 0.3^2 + 2 × 0.338431 × 0.661569 × 0.008204)^1/2
SDmin=24.96%
Heat is released when a substance changes from a gas to a liquid, or from a liquid to a solid.
When a liquid changes to a solid, we refer to that as the process of 'freezing'.
Answer:
A) 30 pies and 100 cakes.
Explanation:
Kim can produce 40 pies or 400 cakes an hour. Liam can produce 100 pies or 200 cakes an hour.
Since each one will specialize in the production of the good in which they have a comparative advantage, Kim will produce cakes and Liam will produce pies.
before specialization Kim produced 20 pies and 200 cakes, while Liam produced 50 pies and 100 cakes.
So the total gains from trade are:
- 50 pies - 20 pies = 30 pies
- 200 cakes - 100 cakes = 100 cakes
