A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $1,000. Each year after that, you will receive a payment on the anniversary of the last payment that is 2% larger than the last payment. This pattern of payments will go on forever. Assume that the interest rate is 16% per year. a. What is today's value of the bequest? b. What is the value of the bequest immediately after the first payment is made? a. What is today's value of the bequest? Today's value of the bequest is $ (Round to the nearest dollar.) You work for a pharmaceutical company that has developed a new drug. The patent on the drug will last 17 years. You expect that the drug's profits will be $4 million in its first year and that this amount will grow at a rate of 3% per year for the next 17 years. Once the patent expires, other pharmaceutical companies will be able to produce the same drug and competition will likely drive profits to zero. What is the present value of the new drug if the interest rate is 11% per year? The present value of the new drug is $ million. (Round to three decimal places.) You have an investment account that started with $4,00010 years ago and which now has grown to $8,000. a. What annual rate of return have you earned (you have made no additional contributions to the account)? b. If the savings bond earns 16% per year from now on, what will the account's value be 10 years from now? a. What annual rate of return have you earned (you have made no additional contributions to the account)? Your annual rate of return is %. (Round to two decimal places.) You are thinking of purchasing a house. The house costs $250,000. You have $36,000 in cash that you can use as a down payment on the house, but you need to borrow the rest of the purchase price. The bank is offering a 30 -year mortgage that requires annual payments and has an interest rate of 9% per year. What will be your annual payment if you sign this mortgage? The annual payment is $ (Round to the nearest dollar.)