Question
you are a consultant to a firm evaluating an expansion of its current business. The cash flow forecasts (in millions of dollar) for the project as follows:
Year cashflow
0 -100
1-10 15
0n the basis of the behavior of the firm's stock, you believe that the beta of the firm is 1.30. Assuming that the rate of return available on risk-free investments is 5% and that the expected rate of return on the market portfolio is 15% what is the net present value of the project
Answer:
NPV= -$32.58
Explanation:
The net present value of the investment is the cash inflow from the investment discounted at required rate of return. The required rate of return can be determined using the the formula below:
Ke= Rf +β(Rm-Rf)
Ke =? , Rf- 5%,, Rm-15%, β- 1.30
Ke=5% + 1.30× (15-5)= 18%
The NPV = Present value of cash inflow - initial cost
= A×(1-(1+r)^(-10)/r - initial cost
A- 15, r-18%
NPV = 15× (1-1.18^(-10)/0.18 - 100= -32.58
NPV = -$32.58
Answer:
3.49%
Explanation:
Calculation to determine the rate of return on this investment
Using this formula
Rate of return=Monthly payment/Current value*100
Let plug in the formula
Rate of return = $4,990/$143,012 *100
Rate of return= 3.49%
Therefore the the rate of return on this investment is 3.49%
Answer: The change in revenue for the sale of 1 more doghouse $ 66.67 dollars
Explanation: Differential is a function that can be used to approximate function value with a great degree of accuracy. This is done by the following.
Mathematical definition of derivative: f'(x) = lim f(x+Δx) - f(x)/Δx.
If Δx is very small:
f'(x) . Δx ≅ f(x+Δx) - f(x)
Knowing that Δy ≅ f(x+Δx) - f(x) and the diferential of variable x can be written by dx as the variable y can be dy:
dy = f'(x) dx
which means that the differential dy is approximately equal to the change Δy, if Δx is very small.
For the question, R(x) = y(x) = 14,000ln(0.01x+1)
f'(x) = ![\frac{d[14,000.ln(0.01x+1)]}{dx}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5B14%2C000.ln%280.01x%2B1%29%5D%7D%7Bdx%7D)
Using the chain rule, the derivative will be:
f'(x) = 14,000.
dy = 14,000..dx
dx is the change in x. For the question, the change is 1 (1 more doghouse) and x is 110:
dy = 14,000
dy = 
dy = 66.67
The change in revenue is $66.67 dollars.
Answer:
The EFF of card is 27.45%.
Explanation:
EFF interest rate is an interest rate which is actually paid or received on debt or investment. It is also known as Effective Interest rate.
APR = 24.50%
EFF = ( ( 1 + r/m )^m ) - 1
EFF = ( ( 1 + 0.245/12 )^12 ) - 1
EFF = ( ( 1 + 0.020417 )^12 ) - 1
EFF = ( ( 1.020417 )^12 ) - 1
EFF = 1.27447765 - 1
EFF = 0.2745
EFF = 27.45%
Answer:
$22,050
Explanation:
The computation of the total budgeted variable selling and administrative expenses for October is shown below:
Sales Commission (9,000 × $0.60) $5,400
Shipping (9,000 × $1.2) $10,800
Advertising (9,000 × 0.3) $2,700
Other (9,000 × .35) $3,150
Budgeted Variable Selling and admin expenses $22,050
We simply added all the variable selling and admin expenses so that the total could arrive
