Use Euler's method to solve dBdt=0.05B with initial value B=1300 when t=0 . A. Δt=1 and 1 step: B(1)≈ B. Δt=0.5 and 2 steps: B(1)≈ C. Δt=0.25 and 4 steps: B(1)≈ D. Suppose B is the balance in a bank account earning interest. Be sure that you can explain why the result of your calculation in part (a) is equivalent to compounding the interest once a year instead of continuously. Then interpret the result of your calculations in parts (b) and (c) in terms of compound interest.

Amathematical approximation called the rule of 70 tells us that the number of years that it will take something that is growing to double in size is approximately equal to the number 70 divided by its percentage rate of growth. thus, if mexico's real gdp per person is growing at 7 percent per year, it will take about 10 years(=70/7) to double. apply the rule of 70 to solve the following problem. real gdp per person in mexico in 2005 was about $11,000 per person, while it was about $44,000 per person in the u.s. if real gdp per person in mexico grows at the rate of 5 percent per year: how long will it take mexico's real gdp per person to reach the level that the united states was at in 2005? (hint: how many times would mexico's 2005 real gdp per person have to double to reach the u.s.'s 2005 real gdp per person?

Rossdale co. stock currently sells for $68.91 per share and has a beta of 0.88. the market risk premium is 7.10 percent and the risk-free rate is 2.91 percent annually. the company just paid a dividend of $3.57 per share, which it has pledged to increase at an annual rate of 3.25 percent indefinitely. what is your best estimate of the company's cost of equity?

You own 2,200 shares of deltona hardware. the company has stated that it plans on issuing a dividend of $0.42 a share at the end of this year and then issuing a final liquidating dividend of $2.90 a share at the end of next year. your required rate of return on this security is 16 percent. ignoring taxes, what is the value of one share of this stock to you today?