Solve these four problems incorporating present value analysis relative to investment decisions in this exercise. Each problem tests knowledge of the use of present value tables and cost versus benefit decision making.
1. An airline is deciding whether to purchase an additional airplane. It figures that the airplane will generate additional annual revenues of $150,000 for 10 years. The current cost of the airplane is $2 million. The airplane could be financed with a loan at an interest rate of 5 percent per year. Should the airplane be purchased?
2. An airline is deciding whether to purchase an additional airplane. It figures that the airplane will generate additional annual revenues of $150,000 for 10 years. The current cost of the airplane is $2 million. The airplane could be financed with a loan at an interest rate of 8 percent per year. Should the airplane be purchased?
3. A family is deciding whether to send the oldest child to college. The family expects that the college education will mean 1.4 times more income per year than if the child does not go to college. College will cost $100,000 (assume that all costs occur in one year). If the income of someone not going to college is $30,000 per year, how long would it take for the $100,000 investment to be paid back in extra earnings, assuming an interest rate of 5 percent?
4. A family is deciding whether to send the oldest child to college. The family expects that the college education will mean 1.6 times more income per year than if the child does not go to college. College will cost $100,000 (assume that all costs occur in one year). If the income of someone not going to college is $30,000 per year, how long would it take for the $100,000 investment to be paid back in extra earnings, assuming an interest rate of 5 percent?