4. A certain principal P was invested in a fund at a rate of 14% compounded monthly forthe first year, 16% compounded quarterly for the next 3 years and at 6% compoundedsemiannually for the remaining years. If the total money in the fund after 5 years isP94,876.81, how much is the original amount invested in the fund?

Compound interest is the method in which the amount after a period is added back to the investment…

Answered: 4. A certain principal P was invested…

Intermediate Accounting: Reporting And Analysis

3rd Edition

ISBN:9781337788281

Author:James M. Wahlen, Jefferson P. Jones, Donald Pagach

Publisher:James M. Wahlen, Jefferson P. Jones, Donald Pagach

ChapterM: Time Value Of Money Module

Section: Chapter Questions

Problem 9RE

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The file MutualFunds contains a data set with information for 45 mutual funds that are part of the Morningstar Funds 500. The data set includes the following five variables: Fund Type: The type of fund, labeled DE (Domestic Equity), IE (International Equity), and FI (Fixed Income) Net Asset Value (): The closing price per share Five-Year Average Return (%): The average annual return for the fund over the past five years Expense Ratio (%): The percentage of assets deducted each fiscal year for fund expenses Morningstar Rank: The risk adjusted star rating for each fund; Morningstar ranks go from a low of 1 Star to a high of 5 Stars. a. Prepare a PivotTable that gives the frequency count of the data by Fund Type (rows) and the five-year average annual return (columns). Use classes of 09.99, 1019.99, 2029.99, 3039.99, 4049.99, and 5059.99 for the Five-Year Average Return (%). b. What conclusions can you draw about the fund type and the average return over the past five years?
Suppose an individual invests $20,000 in a load mutual fund for two years. The load fee entails an up-front commission charge of 2.5 percent of the amount invested and is deducted from the original funds invested. In addition, annual fund operating expenses are 0.55 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. Select one: a. 3.77% b. 5.09% c. 7.54% d. 8.86% e. 10.18%
Red Company invested $10,000 in a fund that was earning interest at a rate of 4.00% compounded semi-annually. After 2 years and 6 months, the company transferred these funds to another investment that was earning interest at 5.50% compounded monthly. a. What is the balance in the fund at the end of 2 years and 6 months? $11,040.81 Round to the nearest cent b. What is the balance in the fund at the end of 6 years (from the initial investment)? $0.00 Round to the nearest cent c. By what amount did the fund grow during the 6 year period? Round to the nearest cent Give typing answer with explanation and conclusion
Red Company invested $10,000 in a fund that was earning interest at a rate of 3.00% compounded semi-annually. After 3 years and 9 months, the company transferred these funds to another investment that was earning interest at 5.50% compounded monthly. a. What is the balance in the fund at the end of 3 years and 9 months? b. What is the balance in the fund at the end of 6 years (from the initial investment)? c. By what amount did the fund grow during the 6 year period?
£11,700 is invested at time t=0 and a further 8,800 at time t=5. Calculate the value of the fund after 20 years if the rates of interest applicable during this period are 0.6% per month effective for the first 14 years, and thereafter 7.9% per annum nominal payable quarterly for the remaining years. (correct answer = 77956.92)
Suppose an individual invests £25,000 in a load mutual fund. The load fund entails an up-front commission charge of 4 percent of the amount invested and is deducted upfront. In addition, annual fund operating expenses are 0.85 percent, which is charged on the average net asset value invested in the fund. The return on this fund is 6 percent each year paid on the last day of the year. What would be the investor’s return on this fund after one year?
What equal series of payments must be paid into a sinking fund in order toaccumulate each given amount?(a) $1,700 in 10 years at 8% compounded semiannually when payments aresemiannual.(b) $9,000 in 6 years at 3% compounded quarterly when payments arc quarterly.(c) $4,000 in 2 years at 12% compounded monthly when payments are monthly.
Sean's investment of $81,400.00 in a fund matured to $155,777.80 in 8 years. If the interest in the fund is compounded semi-annually, calculate the following rounded to two decimal places. a. Periodic interest rate (i)(i) % b. Nominal interest rate (j)
A closed-end fund starts the year with a net asset value of $27. By year-end, NAV equals $28.60. At the beginning of the year, the fund is selling at a 2% premium to NAV. By the end of the year, the fund is selling at a 7% discount to NAV. The fund paid year-end distributions of income and capital gains of $3.00.
Determine the interest rate needed to accumulate the following amounts in a sinking fund, with monthly payments as given. 33. Accumulate $56,000, monthly payments of $300 over 12 years 34. Accumulate $120,000, monthly payments of $500 over 15 years
What equal annual series of payments must bepaid into a sinking fund to accumulate the followingamounts?(a) $54,000 in 12 years at 7% compounded annually.(b) $38,000 in 15 years at 8% compounded annually.(c) $25,000 in 8 years at 6% compounded annually.(d) $13,000 in 10 years at 10% compoundedannually
A fund is being formed by monthly deposit of P2,000 at 6% compounded monthly a) Find the amount after a year b) What is the amount in the fund just after the 5 deposit? c) Construct the sinking fund schedule for a 5 month period.

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