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Business Math Homework 20

Tesslyn decided to cancel her policy after 6 months.
Her annual premium was $660. How much is the short-rate premium?
 
Short Rate Premium = Annual Premium x Short Rate
Annual Premium: $660
Short Rate: 61%
$660 x 61%
 
$402.60
 

 
Tesslyn's insurance company has informed her that they are cancelling her $660 annual fire insurance policy after 6 months.
How much is her refund?
 
Refund = Annual Premium - Short Rate Premium
Charge = $660 x 6/12
$660 x .50 = $330
Refund = $660 - $330
$330
 

 
A 250/500/50 optional policy indicates how much bodily per person coverage is being purchased?
 
$250,000
 

 
Karin purchased optional coverage at 500/1,000/100. She is Class 10.
What are her premiums?
 
Bodily Injury Table:
Class 10: 500/1,000 = 187
Damage to someone Elses Property Table:
Class 10, 100M: 136
187 + 136
323
 

 
Given a symbol 6, Age 5, $300 deductible, determine the combined collision and comprehensive premium.
 
Collision = $154
Comprehensive = $67
$154 + 67
 
$221
 

 
Karin purchased optional coverage at 500/1000/100. She is class 10.
What are her premiums?
 
500/1000 = 187
100M = 136
136 + 187
 
323
 

 
If a fire insurance policy costs $1,000 per year, then what would be the cost of a three year policy?
 
$1,000 x 3
 
$3,000
 

 
Jimmy Comfort was interested in pursuing a second career after retiring from the military.
He signed up with Twitter to help network with individuals in his field. Within 1 week, he received an offer from a colleague
to join her start-up business in Atlanta, Georgia. Along with his salary, he receives 100 shares of stock each month.
Assume the stock is worth $4.50 a share.
What is the value of the 100 shares he receives each month?
 
100 shares x $4.50
 
$450

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Mary Blake is considering whether to buy stocks or bonds.
She has a good understanding of the pros and cons of both.
The stock she is looking at is trading at $59.25 with an annual dividend of $3.99.
Meanwhile, the bond is trading at 96.25% with an annual interest rate of 11.5%.
Calculate for Mary her yield for the stock and the bond.
 
Stock = Annual Cash Dividend / Market Price Per Share
$3.99 / 59.25 = 6.73%
Bond = Annual Interest receipt per bond/ Market price per bond
Annual Interest Rate = $1,000 x 11.5% = $115
Market Price = $1,000 x 96.25% = $962.50
$115 / $962.50 = .1195 x 100
 
11.95%
 

 
DailyFinance.com reported one $40 share of Coca-Cola's stock bought in 1919, with dividends reinvested,
would be worth $9.8 million today. If the price-earnings ratio was 28.42 at that time,
what were the annual earnings per share?
 
Annual Earnings Per Share
Earnings Per Share = Last Price / Price-Earnings Ratio
$40 / 28.42
 
$1.41
 

 
Ryan Neal bought 1,200 shares of Ford at $15.98 per share.
Assume a commission of 2% of the purchase price.
Ryan sells the stock for $22.25 with the same 2% commission rate.
What is the gain or loss for Ryan?
 
1,200 x 15.98 = $19,176
19,176 x 1.02 = $19,559.52
1.02 - .02 - .02 = .98
1200 x 22.25 = $26,700
$26,700 x .98 = $27,234
$27,234 - $19,559.52
 
$7,674.48
 

 
Maytag Company earns $4.80 per share.
Today the stock is trading at $59.25. The company pays an annual dividend of $1.40.
Calculate the price-earnings ratio:
 
Market Price Per Share / Earnings Per share
59.25 / 4.80= 12.34
Calculate the yield on the stock
Annual dividends per share / market price per share
1.40 / 59.25
 
2.36%
 

 
Ryan Neal bought 1,200 shares of Ford at $15.98 per share.
Assume a commission of 2% of the purchase price.
What is the total cost to Ryan?
 
1,200 x $15.98 = $19,176
$19,176 x 1.02
 
$19,559.52
 

 
Bonds: NJ 4.125% 35
Current Yield: 3.5%
Volume: 5
Close: 96.875%
Net Change: +1.5%
 
Five bonds were purchased yesterday, and 5 bonds were purchased today. How much more did the 5 bonds cost today?
 
Bond Yield =
Total annual interest of bond / Total current cost of bond at closing
Close : 96.875 x 10 = $968.75
Next Day: (96.875 + 1.50) x 10 = $986.75
968.75 x 5 = $4,843.75
983.75 x 5 = $4,918.75
$4,918.75 - $4,843.75
 
75
 

 
Lee Ray bought 130 shares of a mutual fund with a NAV of $13.10. This fund also has a load charge of 8.5%
What is the offer price?
 
Net Asset Value (NAV) = $13.10
Load Charge = 13.10 x .085 = 1.1135
$13.10 + $1.11 = 14.21
What did lee pay for his investment?
Offer Price x Number of shares
130 x 14.21
 
$1,847.30
 

 
Ron and Madeleine Couple received their 2010 Form 1099-DIV (dividends received) in the amount of $1,585. Ron and Madeleine are in the 28% bracket.
What would be their tax liability on the dividends received?
$1,585 x .28
 
$443.80
 

 
Loretta Scholten buys nine bonds of Leo Co. 7 ¼ 16 at 103.375.
The commission is $3.00 per bond. The current yield to the nearest tenth of a percent is:
 
$72.50 / $1,033.75
 
7.0%.
 

 
Jeff Ryan bought 200 shares of BUI for $19.50.
Eight weeks later he sold the stock for $20.75.
Assuming a 3% commission, his bottom line was a gain of:
 
200 × $19.50 = $3,900 × 1.03 = $4,017 cost basis;
200 × $20.75 = $4,150 × .97 = $4,025.50
$4,025.50 − $4,017
 
$8.50

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