Answer:
n = ㏒ P ÷ ㏒ (1.08)
Explanation:
Compound interest rate
A = P × 
where
P = principal amount (the initial amount you borrow or deposit)
r = annual rate of interest (as a decimal)
A = amount of money accumulated after n years, including interest.
n = number of years
Since we want the principle amount to double i.e., A = 2P
put this in above equation
2P = P ×
divide both sides by P, we get
P =
put r = 0.08
P = 
P = 
Taking log on both sides
㏒ P =㏒
㏒ P = n ㏒ (1.08)
n = ㏒ P ÷ ㏒ (1.08)
Answer:
J = 0.422
K = 0.58
Explanation:
When a portfolio is said to have risk that is equal to market, this means that the beta is equal to 1.
Let us define the weight of stock J = x
Let us define the Weight of stock K = (1-x)
To get the The Beta of portfolio = (x*1.26) + ((1-x)*0.81) = 1
When we open the brackets,
1.26x + 0.81 - .81x = 1
1.26x-0.81x = 1-0.81
0.45x = 0.19
To get x we divide through by 0.45
X = 0.422
Therefore the Weight of stock J = 0.422
Then the Weight of stock K = 1 - 0.422 = 0.578
Approximately 0.58
Answer:
C) increase production.
Explanation:
Competitive firms maximize their accounting profits when marginal revenue (MR) = marginal cost (MC).
In a perfectly competitive market, all the producers and the consumers are price takers, so they cannot change the price of the goods. So changing the sales price is not possible. Since the marginal revenue is greater than the marginal cost, the firm should increase its production output until MR = MC.
