Yuanyuan Qian can lend and borrow at the bank at 25 percent per period. She has (a) €20,000 in cash now. Her only investment possibility costs €32,000 now in her Youth and has a payoff of €50,000 in her Old Age. What is the most she can consume in her Youth?

What group of people benefits from a higher interest rate? Explain how they benefit.

You plan to retire in 35 years and can invest to earn 6.85 percent. You estimate that you will need $82,000 at the end of each year for an estimated 30 years after retirement, and you expect to earn 4.5 percent during those retirement years. How much do you need to set aside at the end of each year to accumulate the money necessary for your retirement? (Assume year-end cash flows.) I will need this much at retirement _____________and will need to set aside ___________per year (at the end of each year.

6. You may borrow or lend at a 5% interest rate, which you expect to remain stable forever. Make a choice and explain your answer in each scenario below. a. You may receive a gift of $500 today or a gift of $540 next year. b. You may receive gift of $100 today or a four-year loan of $500 without interest. c. You may receive a $350 rebate on an $8000 car or one year of no-interest financing on the full price of the car. d. You have just won $1 million in the lottery. You may receive $500,000 now or the full million, paid out in 20 annual payments of $50,000. e. Alternatively, you may take $500,000 now or receive $25,000 per year for eternity (a contract that your heirs will inherit).