Ethically probably harder,
Answer:
inflation rate = 17.5 percent per year ⇒ it will take 4 years to double
inflation rate = 35 percent per year ⇒ it will take 2 years to double
inflation rate = 3.5 percent per year ⇒ it will take 20 years to double
Explanation:
we can use the rule of 70 to determine the amount of time it would take the general price level to double.
the rule of 70 is a simple way we can use to estimate the number of years it will take an investment to double given a certain growth rate.
70 / 17.5 = 4 years
70 / 35 = 2 years
70 / 3.5 = 20 years
Answer:
$41.66
Explanation:
Let us assume the dividend in year n be denoted by Dn and the Stock price by Pn
Given that,
D0 = $1.50
Now
Growth rate for next 3 years
g1 = 15%
D1 = D0 × (1 + g1)
= 1.50 × (1 + 0.15)
= 1.725
D2 = D1 × (1 + g1)
= 1.725 × (1 + 0.15)
= 1.984
D3 = D2 × (1 + g1)
= 1.984 × (1 + 0.15)
= 2.282
Subsequent Growth rate = g2 = 4%
Now
D4 = D3 × (1 + g2)
= 2.282 × (1 + 0.04)
= 2.373
So, According to Gordon's Growth Rate,
P3 = D4 ÷(r - g2)
P3 = 2.373 ÷ (0.09 - 0.04)
= $47.46
Now
Value of Stock now is
= P0
= D1 ÷ (1 + r) + D2 ÷ (1 + r)^2 + D3 ÷ (1 + r)^3 + P3 ÷ (1 + r )^3
= 1.725 ÷ (1 + 0.09) + 1.984 ÷ (1 + 0.09)^2 + 2.282 ÷ (1 + 0.09)^3 + 47.46 ÷ (1 + 0.09)^3
= $41.66
Answer:
It will take 14 quarters (3.5 years) to reach $44,622.09 from $35,000 at an interest rate of 7% compounded quarterly.
Explanation:
Giving the following information:
PV= 35,000
FV= 44,622.09
i= 0.07/4= 0.0175
We need to calculate the number of quarters required to reach the objective. We will use the following formula:
n= ln(FV/PV) / ln(1+i)
n= ln(44,622.09/35,000) / ln(1.0175)
n= 14
It will take 14 quarters (3.5 years) to reach $44,622.09 from $35,000 at an interest rate of 7% compounded quarterly.
