Alan inherited $100,000 with the stipulation that he "invest it to financially benefit his family." Alan and his wife Alice decided they would invest the inheritance to help them accomplish two financial goals: purchasing a Park City vacation home and saving for their son Cooper’s education. Vacation Home Cooper’s Education
Initial investment $50,000 $50,000
Investment horizon 5 years 18 years
Alan and Alice have a marginal income tax rate of 32 percent (capital gains rate of 15 percent) and have decided to investigate the following investment opportunities.
Required:
Determine the two annual after-tax rate of return.

The business cycle is the periodic but irregular up-and-down movement in economic activity, measured by fluctuations in real gross domestic product (gdp) and other macroeconomic variables. a business cycle is typically characterized by four phases—recession, recovery, growth, and decline—that repeat themselves over time. economists note, however, that complete business cycles vary in length. the duration of business cycles can be anywhere from about two to twelve years, with most cycles averaging six years in length. some business analysts use the business cycle model and terminology to study and explain fluctuations in business inventory and other individual elements of corporate operations. but the term "business cycle" is still primarily associated with larger (industry-wide, regional, national, or even international) business trends.