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- Calculate the present value of an annuity with monthly deposits of $2,000 at 5% for 20 years. Discuss how the present value of an annuity will change if the deposit is doubled?You plan to deposit $300 each year into an IRA earning 4% interest annually. How much will you have in your account in 20 years? Your Answer: AnswerThe present value of a perpetuity paying $20 at the end of every four years is $43. Find i.
- If a person wants to invest $5,000.00 now for the next 10 years plans to withdraw $7,500.00 after 10 years, what is the exact interest rate he should ask for his investment?At an interest rate of 10%, what is the present value of an asset that produces $1,000 a year in perpetuity?At what rate of interest will an investment double itself in 10 years?
- Two annuity dues in perpetuity have a common present value of $2, 000 and a common effective annual interest rate i. The first annuity makes payments of $100 at the beginning of every three years and the second makes payments of X at the beginning of every three months. Find X.Assume that $150 invested a year ago will return $170 a year from now. What is the annual interest rate in this situation?A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $3,000. Each year after that, you will receive a payment on the anniversary of the last payment that is 4% larger than the last payment. This pattern of payments will go on forever. Assume that the interest rate is 15% 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? ARCKICHI a. What is today's value of the bequest? Today's value of the bequest is $(Round to the nearest dollar. b. What is the value of the bequest immediately after the first payment is made? The value of the bequest immediately after the first payment is made is $ (Round to the nearest dollar.)
- If the interest rate is 7.0%, what is the present value of a perpetuity paying $210 per year? (A perpetuity is a bond that makes payments forever.) Round to the nearest dollar. Do not use dollar signs or commas in your answer. Example: if the answer is $1,234.56, then write "1235"Find FV: You have $2,000 in a savings account that earns 1.5% interest per year. What will be the balance in your account: in one year? in five years? in ten years?Suppose Crystal Wilson wants to accumulate $1,000,000 by the time she retires in 40 years. If she earns 10% on her investments, how much must she invest each year in order to realize her goal?
