Answer:
Here we need to find the length of an annuity. We know the interest rate, the PV, and the payments. Using the PVA equation:
PVA =C({1 – [1/(1 +r)t]} /r)
$14,500 = $500{[1 – (1/1.0155)t] / 0.0155}
Now we solve for t:
1/1.0155t = 1 − {[($14,500)/($500)](0.0155)}
1/1.0155t= 0.5505
1.0155t= 1/(0.5505) = 1.817
t = ln 1.817 / ln 1.0155 = 38.83 months
<u>Account will be paid off in 38.83 months.</u>
Answer:
14.1%
Explanation:
Cash return on assets is the ratio of a company's operating cash flow to its average total assets. It shows how a company is generating cash flow from its assets and compares a company’s profitability with other companies.
Cash return on assets = operating cash flow / average total assets
Given that:
operating cash flows = $240,000
Average total assets = ($1.6 million + $1.8 million) / 2 = $1.7 million.
Therefore, Cash return on assets = $240000 / $1.7 million = 0.141 = 14.1%
Answer:
e) $37.05
Explanation:
Using the dividend growth model, the value of a stock is the present value of the future dividends receivable discounted at the required rate of return . The required rate of return is given as 12%.
So we discount the year 3 dividend using the dividend growth model formula
P = D (1+g)/r-g
r- rate of return, g = growth rate
Present value of the future dividends:
PV of Year 1 = 1.55(1.015)m × 1.12^(-1)
= 1.4047
PV of Year 2 = 1.55 (1.015)(1.015) × 1.12^(-2)
= 1.27
PV of Year 3 (this will be done in two steps)
Step 1; PV (in yr 2) of year 3 dividend
= (1.55)(1.015)^2×(1.08)/(0.12-0.08)
=43.114
Step 2 : PV (in yr 2) of year 3 dividend
=43.114 × (1.12^(-2))
= 34.37
Best estimate of stock = 1.40 + 1.27 +34.37
= $37.05
Note
To discount the year 3 dividend, we use two steps. The first stp helps get the PV in year 2, and step 3 helps to take it further to the PV in year 0
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:
a mortgage.
Explanation:
A mortgage is a type of loan where real estate serves as collateral. Usually mortgages are used by people wanting to buy real estate since they can borrow larger amounts of money.
In order for the borrower to receive money form the bank, he/she signs a contract by which the bank has a rightful interest in the property. In case the borrower doesn't pay, the bank can foreclose the property.
