Answer:
Dr Notes Payable 349,000
Dr Interest Payable 10,470
Cr Cash 359,470
Explanation:
Preparation of Vaughn's Carpet Service Journal entry
Since we were told that Vaughn's Carpet Service borrows the amount of $349,000 on 1st October from First National Bank based on a 4-month, $349,000, 9% note the transaction will be recorded as :
Dr Notes Payable 349,000
Dr Interest Payable 10,470
Cr Cash 359,470
$349,000 +($349,000 *.09* 4/12)
=$349,000+10,470
=$359,,470
The waiting time at which 10 percent of the people would continue to hold is given as 2.3
<h3>How to solve for the waiting time</h3>
We have to solve for X ~ Exponential(λ).
then E(X) = 1/λ = 3,
= 0.3333
Remember that the cumulative distribution function of X is F(x) = 1 - e^(-λx). ; x is equal to the time in over case
For 10 percent of the people we would have a probability of
10/100 = 0.1
we are to find
P(X ≤ t)
= 1 - e^(0.3333)(t) = 0.1
Our concern is the value of t
Then we take the like terms
1-0.1 = e^(0.3333)(t)
1/0.9 = e^(0.3333)(t)
t = 3 * ln(1/0.9)
= 0.3157
Answer: 6.42%
Explanation:
To calculate this, we use the formula for the Dividend Discount Model/ Gordon Growth Formula as follows:
P = D1/(r - g)
Where,
P = current stock price
D1 = Next dividend
r = required return
g = growth rate
We can make r the subject of the equation by,
P = D1/(r - g)
P(r - g) = D1
r - g = D1/P
r = D1/P + g
Calculating therefore we have,
r = 2.65/43.15 + 0.045
= 0.06417728852
= 6.42%
6.42% is the required return.
If you need any clarification do comment.
