Answer and Explanation:
Average return = (Closing Price + Dividend - Opening Price) / Opening Price
For 1st year:
0 Return
For 2nd year:
($48.41 + $0.69 - $43.43) / $43.43 = 0.130
For 3rd year
($57.33 + $0.72 - $48.41) / $48.41 = 0.199
For 4th year:
($45.41 + $0.80 - $57.33) / $57.33 = -0.194
For 5th year
($52.33 + $0.85 - $45.41) / $45.41 = 0.171
For 6th year
($61.41 + $0.93 - $52.33) / $52.33 = 0.191
Arithmetic Return = Sum of all return / Total number of return
= [0.130 + 0.199 + (-0.194) + 0.171 + 0.191] / 5
Arithmetic Return = 9.96%
![Geometric Return = [(1+r1)(1+r2)(1+r3)(1+r4)(1+r5)] ^ {(1/5)}-1](https://tex.z-dn.net/?f=Geometric%20Return%20%3D%20%5B%281%2Br1%29%281%2Br2%29%281%2Br3%29%281%2Br4%29%281%2Br5%29%5D%20%5E%20%7B%281%2F5%29%7D-1)
![Geometric Return = [1.52445]^{(1/5) }-1](https://tex.z-dn.net/?f=Geometric%20Return%20%3D%20%5B1.52445%5D%5E%7B%281%2F5%29%20%7D-1)
Geometric Return = 1.0880 - 1
Geometric Return = 0.0880 = 8.80%
There is no contract here. There was never an offer to publish the stories. Just because Ollie said "I accept" does not qualify this interaction as a contract since the post specifically says "we might share it". There should be no reasonable assumption that the website will publish EVERY story submitted.
Answer:
the price will grow to $ 507,571.77 If it continues with the same grow rate
Explanation:
first we solve for the rate:
2006 - 1895 = 111 years
![Nominal (1+r)^{n} = FV\\150 (1+r)^{111} = 70,000\\\\r = \sqrt[111]{70,000 / 150 } -1](https://tex.z-dn.net/?f=Nominal%20%281%2Br%29%5E%7Bn%7D%20%3D%20FV%5C%5C150%20%281%2Br%29%5E%7B111%7D%20%3D%2070%2C000%5C%5C%5C%5Cr%20%3D%20%5Csqrt%5B111%5D%7B70%2C000%20%2F%20150%20%7D%20-1)
r = 0.06
Now we apply this rate for the year 2040:
2040 - 2006 = 34 years
Principal 70,000.00
time 34.00
rate 0.06000
Amount 507,571.77
Answer:
10%
25.14 years
Explanation:
A financial calculator can be used to solve these problems
PMT = $-1,100
PV = $5,355.26
FV = 0
N = 7
Compute I = 10%
PMT = $-25,000
FV = $1,387,311
I = 6%
PV = 0
Compute N = 25.14 years
Answer:
$41.56
Explanation:
Since Antiques' dividends have a negative growth rate, we must adjust the perpetuity growth formula to recognize that negative growth:
stock price = [dividend (1 + growth rate)] / (required rate of return - growth rate)
- dividend = $7
- growth rate = -5%
- required rate of return = 11%
stock price = [$7 (1 - 5%)] / (11% - -5%) = ($7 x 95%) / 16% = $6.65 / 16% = $41.56
