Answer:
increased
Explanation:
Data provided in the question:
Price of a gallon of gasoline in 1972 = $0.35
CPI in 1972 = 0.418
Price of a gallon of gasoline in 2005 = $2.25
CPI in 2005 = 1.68
Now,
Real cost in 1972 = [ Nominal cost in 1972 ] ÷ [ CPI in 1972 ]
= $0.35 ÷ 0.418
= $0.837
Real cost in 2005 = [ Nominal cost in 2005 ] ÷ [ CPI in 2005 ]
= $2.25 ÷ 1.68
= $1.34
Hence,
The price of gallon of gasoline increased between 1972 and 2005
Answer:
CPI at the beginning of the year = 192.52
Explanation:
given data
nominal interest rate = 7 percent
real interest rate = 4 percent
CPI = 198.3
to find out
CPI at the beginning of the year
solution
we know that according to fisher equation
1 + r =
....................1
and for smaller values is equivalent to r
r = n - i .....................2
here r is real interest rate and n is nominal interest rate and i is inflation rate
so from equation 2
4 = 7 - inflation rate
inflation rate = 3 percent
so
Rate of inflation = (CPI at the end of the year - CPI at the beginning of the year) × 100 ÷ CPI at the beginning of the year
put here value
3% = (198.3 - CPI at the beginning of the year) × 100 ÷ CPI at the beginning of the year
CPI at the beginning of the year = 
CPI at the beginning of the year = 192.52
Answer:
The solution shows that a rate of return of 10% which provides an annuity factor of 4.868 generates an NPV which is equal to zero. Thus, our IRR or internal rate of return is 10%.
Explanation:
The IRR or internal rate of return is the rate at which NPV or Net Present Value of the investment becomes zero. We are provided with the initial outlay for the project and the annual cash inflows along with time period. Using the annuity factors given below, we need to find out the factor which makes the NPV zero. The NPV is calculated as follows,
NPV = Present Value of Cash Inflows - Initial Outlay
We can try out each annuity factor and see what NPV is generates.
1. 6% rate (Annuity factor = 5.582)
NPV = (30000 * 5.582) - 146040
NPV = $21420
2. 8% rate (Annuity factor = 5.206)
NPV = (30000 * 5.206) - 146040
NPV = $10140
3. 10% rate (Annuity factor = 4.868)
NPV = (30000 * 4.868) - 146040
NPV = $0
So, from the above solution we can see that a rate of return of 10% which provides an annuity factor of 4.868 generates an NPV which is equal to zero. Thus, our IRR or internal rate of return is 10%
Answer:
number of periods = 8 years.
Explanation:
We know,
Future Value = Present value × 
Here,
Present value = PV = $2,500
Future value = FV = $3,500
Interest rate (Compounding) = 5% = 0.05
We have to determine how many years (Periods) it will take, n = ?
Putting the values into the above formula,
$3,500 = $2,500 × 
or,
= $3,500 ÷ $2,500
or, n log 1.05 = 1.4
or, n × 0.17609 = 1.4
or, n = 1.4 ÷ 0.17609
Therefore, number of years = 7.95 or 8 years.
Answer:
6.1 y
Explanation:
Diamond Company
New equipment÷(Annual net income +Depreciation expense)
New equipment$1,400,000
Annual net income $90,000
Depreciation expense $140,000
$1,400,000 ÷ ($90,000 + $140,000)
=$1,400,000÷$230,000
= 6.1 y
Therefore the cash payback period will be 6.1 years