Answer:
Horizon value is $22.59
Intrinsic value is $16.32
Explanation:
D3=1.5000
D4=1.5000*(1+7.8%)
D4=1.6170
D5=1.6170
*(1+7.8%)
D5=1.7431
D6=1.7431
*(1+3.42%)
D6=1.8027
horizon value is the same as the price of the stock(the terminal value) using the dividend in year 6
P=D5*(1+g)/(r-g)
D5=$1.7431
g is the constant growth rate of 3.42%
r is the required rate of return of 11.40%
P=$1.7431*(1+3.42%)/(11.40%-3.42%)
P=$1.8027/0.0798
=$22.59
Goodwill Technologies share price is $22.59
Current intrinsic value is the dividends payable in relevant years plus the horizon value discount to present value as follows:
Present value of D3 =1.5000/(1+11.40%)^3=$1.0850
present of value of D4 =1.6170
/(1+11.40%)^4=$1.0500
present value of D5 =1.7431
/(1+11.40%)^5=1.0160
present value of horizon value=$22.59/(1+11.40%)^5=13.1671
Total present values $16.32
Answer:
16.25;
g(f(x)) ;
76 ;
f(g(x))
Explanation:
For 15 off
f(x) = x - 15
For 35% off
g(x) = (1 - 0.35)x = 0.65x
g(x) = 0.65x
A.)
For the $15 off coupon :
f(x) = x - 15
f(x) 40 - 15 = 25
For the 35% coupon :
g(x) = (1-0.35)x
g(x) = 0.65(25)
g(x) = 16.25
B.)
Applying $15 off first, then 35%
Here, g is a function of f(x)
g(f(x))
Here g(x) takes in the result of f(x) ;
For the $140 off coupon :
f(x) = x - 15
f(140) = 140 - 15 = 125
For the 35% coupon :
g(125) = (1-0.35)x
g(124) = 0.65(125) = $81.25
C.)
x = 140
g(x) = 0.65x
g(140) = 0.65(140)
g(140) = 91
f(x) = x - 15
f(91) = 91 - 15
f(91) = 76
D.)
Here, F is a function of g(x)
f(g(x))
f(x) = (0.65*140) - 15
The present value of the given cash flow stream at a rate of 10.0% for all the years that is from year zero to year three is $10,777.50. Hence, Option B is correct.
<h3>What is a cash flow stream?</h3>
For describing any business proposal, there are very specific requirements, but the two things that are majorly required are cash flow instances and cash flow stream.
A cash flow stream is basically a kind of specific amount that sometimes flows into or sometimes flows out of an organization. It is basically for a particular time period, which can be calculated with the help of some proposal.
Therefore, the given data after doing these required calculations when the cash flow is calculated at a rate of 10.0%, the amount is $10,777.50. Option B is correct.
Learn more about cash flow stream from here:
brainly.com/question/15565882
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The complete question is attached in text form:
What is the present value of the following cash flow stream at a rate of 10.0%?
Years: CFs:
0 $750
1 $2,450
2 $3,175
3 $4,400
a. $8,283.53
b. $10,777.50
c. $10,866.57
d. $7,749.11
e. $8,907.02