Suppose an individual invests $24,000 in a load mutual fund for two years. The load fee entails an up-front commission charge of 2.8 percent of the amount invested and is deducted from the original funds invested. In addition, annual fund operating expenses (or 12b-1 fees) are 0.59 percent. The annual fees are charged on the average net asset value invested in the fund and are recorded at the end of each year. Investments in the fund return 7 percent each year paid on the last day of the year. If the investor reinvests the annual returns paid on the investment, calculate the annual return on the mutual funds over the two-year investment period. (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) Annual return %

Using a discount rate of 5.5% compounded annually, a pension fund estimates that the present value of its assets and liabilities are $7 million and $4 million, respectively. The duration of the assets is 11 years and the duration of the liabilities is 27 years. (a) Suppose that the interest rate decreases to 5.45%. Estimate the relative changes in the fund's assets and liabilities. Express yours answers as percentages, to the nearest basis point. Relative Change in Assets % Relative Change in Liabilities % (b) Using your rounded answers from (a), estimate the absolute changes in the fund's assets and liabilities. Express your answers in millions of dollars, to the nearest thousand. Absolute Change in Assets $ million Absolute Change in Liabilities s $ million (c) The fund's net worth is defined as the difference between its assets and liabilities. Using your answers from (b), estimate the relative change in the fund's net worth. Express your answer as a percent, to the nearest basis…

Create a complete sinking fund schedule and calculate the total payments and interest earned needed for a fund of $9,000 one year from now. The fund will receive deposits made at the end of every three months and earns 5% compounded quarterly. Payment Number 1 2 3 4 Total Payment Amout at End ($) (PMT) Number Number Number Number Total PMT = Number Interest Earned or Accrued ($) (INT) Number Number Number Number Total INT Number Principal Balance Accumulated at End of Payment Interval ($) (BAL) Number Number Number Number

Solve by using the sinking fund or amortization formula. (Round your answer to the nearest cent.) Sinking fund payment (in $) Sinking FundPayment PaymentFrequency TimePeriod (years) NominalRate (%) InterestCompounded Future Value(Objective) $  every 3 months 4 6.0 quarterly $7,000

For the sinking fund, use Table 12-1 to calculate the amount (in $) of the periodic payments needed to amount to the financial objective (future value of the annuity). (Round your answer to the nearest cent.) Sinking FundPayment PaymentFrequency Time Period(years) NominalRate (%) InterestCompounded Future Value(Objective) $   every year 14 8 annually $450,000 TABLE 12:1is attached

s

John invests 2000 at time 0 in a fund earning 7% convertible quarterly, but payable annually. He reinvests each interest payment in individual separate funds each earning 8% convertible quarterly, but payable annually. The interest payments from the separate funds are accumulated in a side fund that guarantees an annual effective rate of 9%. Determine the total value of all funds at time 10.

Fund A is invested at an effective annual interest rate of 5%. Fund B is invested at an effective annual interest rate of 4%. At the end of 10 years, the total of the two funds is 10,000. At the end of 15 years, the amount in fund A is triple the amount in fund B. Calculate the total of the two funds at the end of 20 years.

An investor pays the following separate amounts into a fund: £12,000 at t=7 years, £17,000 at t=13 years, £12,000 at t=28 years The fund pays an effective quarter-yearly rate of discount of 2.3% during the first 7 years and an effective half-yearly rate of interest of 4.9% for the remaining period until the end of year 28. Assuming that no withdrawals are to be made throughout the entire term of this investment, calculate the present value of the fund

If $90,000 is invested in a fund on December 31, 2019, and 5 equal annual withdrawals of $23,138.32 are made starting on December 31, 2020, that will deplete the fund, what is the interest rate being earned if interest is compounded annually?