10 Jul Please number each response 1. Much to your surprise, you
Please number each response 1. Much to your surprise, you were selected to appear on the TV show, ‘The Price is Right.’ As a result of your prowess in identifying how many rolls of toilet paper an average American family keeps on hand, you win the opportunity to choose one of the following: $2,000 today, $10,000 in 10 years, or $31,000 in 29 years. Assuming you can earn 12% on your money, which should you choose?2. Sarah Wiggum would like to make a single investment and have $1.6 million at the time of her retirement in 35 years. She has found a retirement fund that will earn 3% annually. How much will Sarah have to invest today? If she earned an annual return of 20%, how soon could she then retire?3. To buy a new house, you must borrow $150,000. To do this, you take out a $150,000, 20-year, 10% mortgage. Your mortgage payments, which are made at the end of each year (one payment each year), include both principle and 10% interest on the declining balance. What amount will your annual payment be?4. What is the present value of a perpetual stream of cash flow that pays $80,000 at the end of one year and grows at a rate of 5% indefinitely? The rate of interest used to discount the cash flows is 10%. What is the present value of the growing perpetuity?5. How much do you have to deposit today so that, beginning 11 years from now, you can withdraw $9,000 a year for the next 8 years (periods 11 through 18) plus an additional amount of $18,000 in the last year (period 18)? Assume an interest rate of 6%.
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