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
In this problem, we need to find the length of an annuity. We already identified the interest rate, the PV, and the payments.
Using the PVA equation: PVA =C({1 – [1/(1 +r)t]} /r
$18,000 = $750{[1 – (1/1.019) t] / 0.019}
Then solve for t:
1/1.019t= 1 − {[($18,000)/($750)](0.019)}
1/1.019t= 0.544
1.019t= 1/(0.544) = 1.838
t= ln 2.193 / ln 1.019 = 32.34 months or 2.7 in years
What exactly are debits and credits? In a nutshell, debits (dr) record all money that flows into an account, while credits (cr) record all money that flows out of an account.
Answer:
The answer is
A. 26.46%
B. $5,958,354.88
Explanation:
A.
IRR = CFo/(1 + IRR)^0 + CF1/(1 + IRR)^1 + CF2/(1 + IRR)^2 + CF3/(1 + IRR)^3 + CF4/(1 + IRR)^4 + CF5/(1 + IRR)^5
CFo = -$10,000,000
CF1 = $3,000,000
CF2 = $3,500,000
CF3 = $4,000,000
CF4 = $4,900,000
CF5 = $5,000,000
Using a financial calculator;
IRR = 26.46%
B.
NPV = -CFo + CF1/(1+ r)^1 + CF2/(1 +r)^2 + CF3/(1 + r)^3 + CF4/(1 + r)^4 + CF5/(1 + r)^5
CFo = -$10,000,000
CF1 = $3,000,000
CF2 = $3,500,000
CF3 = $4,000,000
CF4 = $4,900,000
CF5 = $5,000,000
Using a financial calculator;
NPV = $5,958,354.88