Answer:
Present value (PV) = $1,000
Interest rate (r) =8% = 0.08
Number of years (n) = 18 months = 1.5 years
No of compounding periods in a year = 4
Future value (FV) = ?
FV = PV(1 + r/m)nm
FV = $1,000(1 + 0.08/4)1.5x4
FV = $1,000(1 + 0.02)6
FV = $1,000 x 1.1262
FV = $1,126
Explanation:
The amount to be received in 18 months is $1,126. This is obtained by compounding the present value at 8% compounded quarterly for 18 months. The formula to be applied is the formula for future value of a lump sum(single investment).
Answer:
C. 120
Explanation:
The computation is shown below:
(L × K)
<u>Labor L Capital K Quantity of Output Q Total cost TC</u>
1 2 2 $40
2 4 8 $80
(2 × $20 + 4 × $10)
3 6 18 $120
(3 × $20 + 6 × $10)
4 8 32 $160
(4 × $20 + 8 × $10)
As we can see that if we considered 3 units of labor so the total cost is $120
Hence, the correct option is c.
Answer:
We should select Project A as it has a higher expected value of 10,800 compared to Project B's expected value of 9,000.
Explanation:
We need to find the expected value of both the projects, using the formula
Expected value of project A= (probability of loss * value of loss)+(probability of gain* value of gain)
Expected value of project A= (0.40*-3,000)+(0.60*20,000)
=-1200+12,000=10,800
Expected value of project A= 10,800
Expected Value of project B= (probability of loss * value of loss)+(probability of gain* value of gain)
=(0.30*-5,000) +(0.70*15,000)=-1500+10,500=9,000
