Answer:
- <u><em>1. CPI in the subsequent year: 1,135</em></u>
<u><em></em></u>
- <u><em>2. Rate of inflation: 13.5%</em></u>
<u><em></em></u>
Explanation:
<u>1. Calculate the CPI</u>
<em></em>
<em>CPI </em>is the consumer price index.
CPI is created using a basket of goods and services that are typically consumed.
In the given case the typical basket is:
- Gasoline and car maintenance
- Phone service (basic service plus 10 long-distance calls).
Then to find the CPI for a determined year you multiply each item by its price and then add up all the results.
For the base year, the expenditures per month were:
- 25 pizzas at $ 10: $10 × 25 = $250
- Gasoline and car maintenance: $100
- Phone service (basic service plus 10 long-distance calls): $50
Then, the CPI for the base year is:
- CPI = $250 + $600 + $100 + $50 = $1,000
The year following the base year, the expenditures per month are:
- 25 pizzas at $ 11 : $11 × 25 = $275
- Gasoline and car maintenance: $120
- Phone service (basic service plus 10 long-distance calls): $40
Then the CPI for the followng year is:
- CPI = $275 + $700 + $120 + $40 = $1,135
<u>2. Calculate the rate of inflation</u>
The rate of<em> inflation</em> is defined as the increase of the CPI of the given year with respect ot the base year:
The formula to calculate the rate of inflation is:
- Inflation = (CPI of the year - CPI of the base year) / (CPF of the base year) × 100
- Inflation = [ (1,135 - 1,000) / (1,000)] × 100 = 13.5%
Hence, <em>the rate of inflation for the subsequent year is 13.5%</em>
Answer:
Explicit costs are the costs which requires the money to pay.
On the other hand, implicit costs refers to the benefit that is foregone by choosing some other work or doing some other activity.
Therefore,
Explicit costs are as follows:
1. Wages pays to his hired hand
2. Buys feed for his cows.
3. Gas expense that is used in truck
Implicit costs are as follows:
1. Foregone income of $27,000 from working at a dairy plant as a technician.
2. Time taken for extracting milk from all the cows.
Answer:
Explanation:
a.)
Using Financial calculator, enter the following CFs to find NPV;
CF0 = -1,800,000
C01 =600,000
C02 =600,000
C03 =600,000
C04= 600,000
C05 = 600,000
Interest rate ( I ) = 8%
CPT NPV = $595,626.02
b.)
Profitability Index (PI)
<em>PI= NPV of cash inflows / Initial outlay</em>
Using Financial calculator, enter the following CFs;
Find the NPV of the expected future cash inflows;
CF0 = 0
C01 =600,000
C02 =600,000
C03 =600,000
C04= 600,000
C05 = 600,000
Interest rate ( I ) = 8%
NPV = $2,395,626.02
PI = $2,395,626.02/1,800,000 = 1.331
c.)
You can use a Financial calculator to find the IRR;
CF0 = -1,800,000
C01 =600,000
C02 =600,000
C03 =600,000
C04= 600,000
C05 = 600,000
CPT IRR = 19.86%
d.)
Based on the NPV rule, a company should accept a project if the NPV is greater than 0. This project's NPV of $595,626.02 meets this criteria , therefore, the project should be accepted.
Based on IRR rule, a company should accept a project if the IRR of the project is greater than the cost of capital; which is also the required return. The IRR of this project is 19.86% which is significantly higher than the cost of capital of 8% hence in agreement that the project should be accepted. The Profitability Index is also greater than 1 hence the project should be accepted.
Answer: Make immediate payment of $2,458,000
Explanation:
The recommended payment option will be the one with a lower present value.
It can make a payment of $2,458,000 now which would be the PV of the first option.
Second option is a constant amount for 15 years to be paid on the first day of every year making it an annuity due.
Present Value of annuity due;
= Annuity * Present value factor of Annuity due, 15 periods, 11%
= 336,800 * 7.9819
= $2,688,303.92
<em>Lower and recommended option is to make immediate payment of $2,458,000. </em>
Answer:
Alpha shares currently exhibit a cost of 6.50%
Explanation:
According to the following formula, consider the calculation:
Cost of preferred stock = Annual dividend / (Price - flotation cost)
PS Alpha =6.5/100
6.50%
Alpha shares currently exhibit a cost of 6.50%