Answer:
a. Yes. It is a probability density function because \sum f(x) =1
. b. probability MCC will obtain more than 30 new clients=P(40)+P(50)+P(60)= 0.20+0.35+0.20=0.75
c. probability MCC will obtain fewer than 20 new clients= P(10)= 0.05
d.
x f(x) x*f(x) x*x*f(x)
10 0.05 0.5 5
20 0.1 2 40
30 0.1 3 90
40 0.2 8 320
50 0.35 17.5 875
60 0.2 12 720
1 43 2050
expected value = \sum xf(x) = 43
Variance = 2050-43^2= 201
Explanation:
Answer:
$606,375
Explanation:
The computation of the amount of cash payments to stockholders is shown below:
= Beginning dividend payable + cash dividend declared - ending dividend payable
= $167,625 + $585,000 - $146,250
= $606,375
We simply added the dividend declared amount and deducted the ending dividend payable to the beginning dividend payable so that the accurate amount can come.
Answer:
$1,035,459.51
Explanation:
First we must determine the issuing value:
- cash flow 1 = $60,000
- cash flow 1 = $60,000
- cash flow 1 = $60,000
- cash flow 1 = $60,000
- cash flow 1 = $1,060,000
using an excel spreadsheet to calculate the bond's price with a discount value of 5%:
the bonds were sold at $1,043,294.77
the effective interest expense = bond's price x market interest = $1,043,294.77 x 5% = $52,164.74
bond's value = bond's price - (coupon payment - effective interest) = $1,043,294.77 - ($60,000 - $52,164.74) = $1,035,459.51
Answer:
Explanation:
first will need to calculate the Fv future value of this CD
Fv = Pv ( 1 + R )^n n = 4 /12 = 0.333333, r, rate = 4.5/100 = 0.045
Fv = $ 630000 ( 1+ 0.045)^0.33333 = $ 639311.69
a) the current value at 5 % Pv = Fv / ( 1+r)ⁿ
Pv = $ 639311.69 / ( 1.05)^0.3333 = $ 628998.41
b) the current price at 4.25% = $ 639311.69 / ( 1.0425)^0.3333 = $ 630503.20
