Your father invested a lump sum 24 years ago at 5.75 percent interest compounded monthly. Today, he gave you the proceeds of that investment which totaled $105,099.24. How much did your father originally invest? A. $15,929.47 B. $16,500.00 C. $17,444.86 D. $26,528.00 E. $27.470.75
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- Susie Lee won a lottery. She will have a choice of receiving $25,000 at the end of each year for the next 30 years, or a lump sum today. If she can earn an annual return of 10 percent on any investment she makes, what is the least she should be willing to accept today as a lump-sum payment? (Round to the nearest hundred dollars.) Use the NPV as you have equal cash flows of $25,000 for the next 30 years.Suppose you are willing to pay $30 today for a share of stock which you expect to sell at the end of one year for $32. If you require an annual rate of return of 12 percent, what must be the amount of the annual dividend which you expect to receive at the end of year 1? Select the closest answer.which kind of shares would you expect to pay higher average return: shares in an industry that is very sensitive to economic conditions (such as an automaker) or shares in an industry that is relatively insensitive to economic conditions (such as water company)? why?
- A bond with a face value of $1,000 has 8 years until maturity, has a coupon rate of 8%, and sells for $1,100. What is the yield to maturity if interest is paid once a year? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 4 decimal places. What is the yield to maturity if interest is paid semiannually? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 4 decimal places.Suppose Kay inherits $250,000, which she invests today at a rate of return of 9 percent compounded annually. Who much will Kay's investment be worth in 25 years?Project 1 involves an outlay of $2.5m and gets an annual net income of $1m for 5 years. Project 2 involves an outlay of $10m but gets no income until year 5. year project 1 project 2 0 -2.5 -10 1 1 0 2 1 0 3 1 0 4 1 0 5 1 15 Use the payback method to decide which is the most attractive project. __________ What is the accounting rate of return for project 1? Write your answer as a percent using the percent symbol. ________ What is the accounting rate of return for project 2? Write your answer as a percent using the percent symbol. _________ Decide which is the most attractive project using the accounting rate of return method. ________________
- Henry has a five-year 1,000,000 bond with coupons at 6% convertible semi-annually. Fiona buys a 10-year bond with face amount X and coupons at 6% convertible semi-annually. Both bonds are redeemable at par. Henry and Fiona both buy their bonds to yield 4% compounded semi-annually and immediately sell them to an investor who will yield 2% compounded semi-annually. Fiona earns the same amount of profit as Henry. Calculate X.Suppose that you, on 1st of January 2023, enter a long position in a 10-year forward contract on a non-dividend-paying stock. The stock price is $50 and the risk-free rate of interest is 5% per annum with yearly compounding (as per 1st of January 2023). a) What are the forward price and the initial value of the forward contract? Five years later, 1st of January 2028, the price of the stock is $60 and the risk-free interest is still 5%. b) On 1st of January 2028, what are the forward price and the value of the forward contract that you entered into on 1st of January 2023? Explain. c) Suppose that you on 1st of January 2028 enter a short position in a forward contract on the same underlying stock and with expiration date in 5 years. What is the value of your total position? (I.e. what is the total value of the long position in the forward contract in a) and your short position). What is the payoff of your total position at maturity? d) On 1st of January 2028, what is the value…Today, you invest ₱100,000 into a fund that pays 25% interest compounded annually. Three years later, you borrow ₱50,000 from a bank at 20% annual interest and invest in the fund. Two years later, you withdraw enough money from the fund to repay the bank loan and all interest due on it. Three years from this withdrawal you start taking ₱20,000 per year out of the fund. After five withdrawals, you withdraw the balance in the fund. How much was withdrawn? Note: Draw the cashflow diagram and solve using the formula of annuities
- Problem 4: Today, you invest P100,000 into a fund that pays 25% interest compounded annually. Three years later, you borrow P50,000 from a bank at 20% annual interest and invest in the fund. Two years later, you withdraw enough money from the fund to repay the bank loan and all interest due on it. Three years from this withdrawal you start taking P20,000 per year out of the fund. After 5 withdrawals you withdraw the balance in the fund. How much was withdrawn?suppose that you invest $100 today in a risk-free investment and let the 4 percent annual intrest rate compound. Rounded to the full dollars, what will be the value of your investment 4 years from now?The adjacent table presents annuity factors for various discount rates and payment periods up to 10 years. The present value of $80,000 per year for 10 years at a discount rate of 4 percent is $