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Business Math

Dividends & Stock Valuation

A company pays a dividend today of $4, and this dividend is expected to grow each year by 4%. The discount rate is 10%. What is the market price of the stock? A firm issued a preferred stock which matures in 30 years and carries a maturity value of $45. The dividend is $4 per year over the 30 year period. The current mark

Short-term investment horizon

Assume that you have a short-term investment horizon (less 1 year). You are considering two investments: a 1-year Treasury security a 20-year treasury security. Which of the two investments would you view as being riskier? Explain

Bonds and Their Valuation - Time to Maturity

If interest rates rise after a bond issue, what will happen to the bond's price and YTM? Does the time to maturity affect the extent to which interest rate changes affect the bond's price? (Again, an example might help you answer this question.)

10-Year Bond

The values of outstanding bonds change whenever the going rate of interest changes. In general, short-term interest rates are more volatile than long-term interest rates. Therefore, short-term bond prices are more sensitive to interest rate changes than are long-term bond prices. Is that statement true or false? Explain. (Hint:

Probability distribution using sampling techniques

1. You know that a probability distribution has a mean of 23.20 and a variance of 2.56. You try four different sampling techniques and get the follow results. Technique Mean A 20.7 B 19.5 C 26.0 D 25.7 At the 95 percent confidence level, wh

Component Cost of Capital

A bond that has a $1,000 par value (face value) and a contract or coupon interest rate of 11 percent. A new issue would have a floatation cost of 5 percent of the $1,125 market value. The bonds mature in 10 years. The firm's average tax rate in 30 percent and its marginal tax rate is 34 percent.

Solving Unbalanced Problems

Part one: An appliance manufacturer produces two models of microwave ovens: H and W. Both models require fabrication and assembly work: each H uses four hours of fabrication and two hours of assembly, and each W uses two hours of manufacturing and six hours of assembly. There are 600 fabrication hours and 480 hours of assembly

Finance Planning for Buying First Home

Shantel and Kwamie are planning to buy their first home. Although they are excited about the prospect of being homeowners, they are also a little frightened. A mortgage payment for the next 30 years sounds like a huge commitment. They visited a few new developments and scanned the real estate listings of preowned homes, but they

Standard Deviaion & Probability

See the attached file. Problem 16-8. Business and Financial Risk Here are the estimated ROE distributions for Firms A, B, and C: PROBABILITY ________________________________________ 0.1 0.2 0.4 0.2 0.1 ________________________________________ Firm A: 0.0% 5.0% 10.0% 15.0% 20.0% Firm B:

Sharing cost

The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club?


The net income of Simon and Hobbs, a department store, decreased sharply during 2000. Carol Simon, owner of the store, anticipates the need for a bank loan in 2001. Late in 2000, Simon instructs the store's accountant to record a $10,000 sale of furniture to the Simon family, even though the goods will not be shipped from the ma

Business Mathematics: Example Problem

Have you seen any graphs in a meeting at work or in a business situation that you thought were useful? Do you think graphs are useful for describing functions, or do they have the potential to cause even more confusion?

Business Mathematics for Real Estates

One real estate sales technique is to encourage customers or clients to buy today because the value of the property will probably increases during the next few years. "Buy this lot today for $28,000. In two years, I will project it will sell for $32,500. "The buyer has a CD worth $30,000 now, which earns 4% compounded annually a

Mathematical Modelling - Projectile Motion

A projectile is fired with initial velocity v (LT^-1) at an angle θ (M^0L^0T^0) with the horizon. You may expect that the gravity acceleration g (LT^-2) affects R (L) . a) Use dimensional analysis to understand the dependence of R on v, g, and θ . b) Describe approximately the influence of θ on R .

How much is the earnings available for common stockholders?

At the end 2005, the Long Life Light Bulb Company announced had produced a gross profit of $1 million. The company has also established that over the course of this year it has incurred $345,000 in operating expenses and $125,000 interest expenses. The company is subject to a 30 percent tax rate and has declared $57,000 total

Multiple question realted to Josh, Ben's property & Sean accounting situations.

(TCO E) Josh sold a piece of business equipment that had an adjusted basis to him of $50,000. In return for the equipment, Josh received $80,000 cash and a painting with a fair market value of $20,000 from the buyer. The buyer also assumed Josh's $25,000 loan on the equipment. Josh paid $5,000 in selling expenses. What is the am

Accounting problem

(TCO H) Al and Amy file a joint return for the 2007 tax year. Their adjusted gross income is $80,000. They had net investment income of $9,000. In 2007, they had the following interest expenses: Personal credit card interest $4,000; Home mortgage interest $8,000; and Investment interest (on loans used to buy stocks) $10,000.

After-Tax Weighted Average Cost of Capital

Co. A has a debt-to-firm-value ratio of 30% and an equity-to-firm-value ratio of 70%. The required rate of return on equity of Co. A is 15% while the long-term borrowing rate is 10%. Co. A's marginal tax rate is the statutory rate of 40%. Calculate its after-tax weighted average cost of capital. See the attached file.

Accounting - Contigent Liability

Unruh Co. is being sued for illness caused to local residents as a result of negligence on the company's part in permitting the local residents to be exposed to highly toxic chemicals from its plant. Unruh's lawyer states that it is probable that Unruh will lose the suit and be found liable for a judgment costing Unruh anywhere

Accounting - Pujols Industries - Bond Issue Entries

On February 28, 2006, Pujols Industries issued 10% bonds, dated January 1, with a face amount of $48 million. The bonds were priced at $42 million (plus accrued interest) to yield is 12%. The effective interest method is used. Interest is paid semiannually on June 30 and December 31. Pujols' fiscal year ends October 31st. Re

Smith Graphics - Debt/Equity Decisions

On January 1, 2005, Smith Graphics, Inc., a product-labeling and graphics firm, borrowed $300,000 cash from First BancCorp and issued a five-year, 8% promissory note. The note requires annual interest payments each December 31. A. Prepare Skill Graphic's journal entries to record (1) the issuance of the note and (2) the Decemb

Find four consecutive even integers whose sum

1- Find four consecutive even integers whose sum is 340. 2- Chrysler Sebring. After getting a 15% discount on the price of a new Chrysler Sebring convertible, Helen paid $27,000. What was the original price of the convertible to the nearest dollar? 3- Toyota Corolla. Gwen bought a new Toyota Corolla. The selling price

Decision Analysis

You have the opportunity to expand your specialty freight business by purchasing or leasing an additional aircraft. You have determined the most suitable type of aircraft is a Shorts AirVan. You have calculated the increase in net profit over the next three years with this aircraft for five estimates of industry activity: ?

Transfer solution from excel to QM software format

Slixtrix Conversions, located in Waldo, Florida specializes in conversions of pick-up trucks and vans. In particular, they do a very good business in their signature line of each. The business has three production shops which, using good project scheduling skills, work on the vehicles simultaneously. The shops are preparatio