Answer:
22.13%
Explanation:
The effective annual rate formula below can be used to determine the actual rate charged by the bank as follows:
Effective annual rate=(1+APR/n)^n-1
APR=20%
n=number of times interest is computed yearly=365
Effective annual rate=(1+20%/365)^365-1
Effective annual rate=1.221335858
-1
Effective annual rate=22.13%
The actual rate of interest on bank loan is 22.13%
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Answer:
a. Amount to invest in Y
The amount that will be invested in Stock Y should be such that the expected return of the portfolio would equal 12.1%.
This would be determined by the weights of the stock.
Assume the weight to be invested in X is x.
Portfolio return = (weight of X * Return of X) + (weight of Y * Return of Y)
12.1% = (x * 10.28%) + ( (1 - x) * 7.52%)
0.121 = 0.1028x + 0.0752 - 0.0752x
0.121 - 0.0752 = 0.1028x - 0.0752x
0.0458 = 0.0276x
x = 0.0458 / 0.0276
= 1.6594
Weight in stock Y:
= 1 - 1.6594
= -0.6594
Amount to invest in Y:
= -0.6594 * 100,000
= -$65,940
b. Portfolio beta
It will be a weighted average of the betas of the two stocks:
= (Weight of stock X * Stock X Beta) + ( Weight of stock Y * Stock Y beta)
= (1.6594 * 1.20) + (-0.6594 * 0.80)
= 1.46
Answer:
Kindly check explanation
Explanation:
Using table for our evaluation :
____________POLLUTANT
Factories___P1 ______P2 ____COST
__1_______0.1______ 0.45 ___ 1500
__2______ 0.2 _____ 0.25 ____1000
__3 ______0.40 ____ 0.30 ____2000
_________ ≥ 30 ____ ≥ 40 _____ z
Let amount of waste produced by Factories 1, 2 and 3 equal f1, f2 and f3 respectively.
Linear Program that will minimize the cost of reducing pollution by the desired amounts
Min cost:
min z = 1500f1 + 1000f2 + 2000f3
0.1f1 + 0.2f2 + 0.4f3 ≥ 30
0.45f1 + 0.25f2 + 0.3f3 ≥ 40
f1, f2, f3 ≥ 0
