Deposit (PV): $10,000
Years between the 18th month and the fifth year (n) = 3.5
(I)=7% yearly interest rate
Simple interest approach accumulated value equals P*(1+(i*n)).
=1000*(1+(7%*3.5))
=1245
Thus, the total value at the end of five years will be $1245.
Compound interest method accumulated value equals P*(1+i)n
=1000*(1+7%)^3.5
=1267.19
Therefore, the total value after five years will be $1267.19.
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Answer:
savings per year = $20,500 - $10,500 = $10,000
the loan and interest are not included in the calculation
initial outlay = $50,000
cash flows 1-8 = $10,000
cash flow 9 = $15,000
discount rate = 15%
using a financial calculator, the NPV = -$862.85, and the IRR = 14.53%
Answer:
Allocative efficiency is about distributing or allocating resources in the best possible manner. E.g. in order to fight the current pandemic, more resources ($) is allocated to different health care institutions.
Productive efficiency is about how a company or a person uses the resources that it has in order to produce the greatest amount of benefits at the lowest possible cost. E.g. in a hospital, if a doctor is able to treat 15 patients per day, his/her productive efficiency will be higher than another doctor that only treats 10 patients per day.
Answer:
a) 3X + 2Y = 36
b) X = 6 , Y = 9
c) 27
Explanation:
Individual consumes : X and Y
Spends : $36 per time period
unit cost : $3 per unit for X
$2 per unit for Y
utility function : U( X, Y ) = .5XY
<u>A) Budget equation mathematically</u>
X* Px + Y* Py = M
3X + 2Y = 36
Px and Py = unit cost for X and Y
M = Total spent ( revenue )
<u>b) Values of X and Y that will maximize utility </u>
Maximum utility ( MRS ) = Px / Py ,
MRS = MUx / MUy
= Y/X = 3/2
∴ 2Y = 3X
From BC : 6X = 36 ( X = 6 plug into mathematically equation above )
∴ X = 6 , hence Y = 9
<u>c) Total utility generated per unit of time </u>
U( X,Y ) = .5XY
= 0.5 * 6 * 9 = 27