The rule of 72s states that the number of years for an investment to double is approximately 72 divided by the interest rate percentage. For example, about 12 years are required for an investment to double at 6% interest (12 years = m/6). Find the exact rate required to double an investment in 6, 8,9, 12, 18, and 24 years, and compare this with the approximate rule of 72s rate.
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- Suppose that $500 is invested at the end of every year for 5 years. The polynomial function that models the value of the investment is P(x) = 500x5 + 500x4 + 500x³ + 500x² + 500x, where x represents the effective interest rate plus 100%. One year after the last payment, the investment is worth $3200. Find the effective interest rate one year after the last payment, to the nearest tenth. (Note: You will need to subtract 1 from the value of x to find the effective interest rate.)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.The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). (Round the final answers to 2 decimal places.) a. Suppose that today you buy an 9.2% annual coupon bond for $1,180. The bond has 19 years to maturity. What rate of return do you expect to earn on your investment? Expected rate of return % b-1. Two years from now, the YTM on your bond has declined by 1%, and you decide to sell. What price will your bond sell for? (Omit $ sign in your response.) Bond price $ b-2. What is the HPY on your investment? HPY %
- 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?What is the definition of internal rate of return (IRR)? If you expect the annual interest rates are much different in the next 10 years, would the IRR be the ideal measure? Why or why not?An investor can invest money with a particular bank and earn a stated interest rate of 4.40%; however, interest will be compounded quarterly. What i are the nominal, periodic, and effective interest rates for this investment opportunity? Interest Rates Nominal rate Periodic rate Effective annual rate Rahul needs a loan and is speaking to several lending agencies about the interest rates they would charge and the terms they offer. He particularly likes his local bank because he is being offered a nominal rate of 4%. But the bank is compounding bimonthly (every two months). What is the effective interest rate that Rahul would pay for the loan? ○ 3.945% 4.152% 4.067% 04.186 % Another bank is also offering favorable terms, so Rahul decides to take a loan of $12,000 from this bank. He signs the loan contract at 5% comanded daily for 12 months. Based on a 365-day year, what is the total amount that Rahul owes the bank at the end of the loan's term? (Hint: To calculate the number of days,…
- Many retirement funds charge an administrative fee equal to 0.25% on managed assets. Suppose that Alex and Spenser each invest $50,000 in the same year. Alex invests in a no-load fund (that doesn’t charge the 0.25% fee) and earns 5% a year. Spenser uses another retirement fund that charges the 0.25% fee and so only earns 4.75%. After 30 years, how much more will Alex have than Spenser?Question 4 The equivalent rate of interest for a discount rate of 10.5% for 60 days is 104.9825%. Hint: An interest rate r and discount rate d are said to be equivalent if these two simple rates give the same present value for an amount due in the future. Thus, r = d/(1 - dt) and d = r/(1 + rt)1. Future and present values Suppose a relative has promised to give you $1,000 as a wedding gift the day you get engaged. Assuming a constant interest rate of 5%, consider the present and future values of this gift, depending on when you become engaged. Complete the first row of the following table by determining the value of the gift in one and two years with interest if you become engaged today and save the money. Date Received Today In 1 year In 2 years Present Value (Dollars) 1,000.00 Value in One Year (Dollars) 1,000.00 Value in Two Years (Dollars) 1,000.00 Now complete the first column of the previous table by computing the present value of the gift if you get engaged in one year or two years. The present value of the gift is if you get engaged in one year than it is if you get engaged in two years.
- is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. The present value of a loan in which $1000 is to be paid out a year from today with the interest rate equal to 1% is $. (Round your response to the neareast two decimal place) If a loan is paid after two years, and the amount $1000 is to be paid then with a corresponding 2% interest rate, the present value of the loan is $. (Round your response to the neareast two decimal place) Next 11:41 AMYou are offered an investment that would earn $ 2,100 a year for 10 years. The first payment would be made in exactly 3 years. Knowing that the annual effective interest rates will be 7% for the next five years, 8% for the next two years and 6% afterwards, find the value of this investment today. Use FACTOR NOTATIONS in your calculations.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.)