An investor pays the following separate amounts into a fund: £11,900 at t=6, £17,600 at t=14, and £10,700 at t=27. The fund pays an effective annual rate of interest of 11.9% during the first 7 years and effective half-yearly rate of discount of 3.5% for the remaining period until the end of year 27. Assuming that no withdrawals are to be made throughout the entire term of this investment, calculate the present value of the fund (i.e. at t=0).
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An investor pays the following separate amounts into a fund: £11,900 at t=6, £17,600 at t=14, and £10,700 at t=27.
The fund pays an effective annual rate of interest of 11.9% during the first 7 years and effective half-yearly rate of discount of 3.5% for the remaining period until the end of year 27. Assuming that no withdrawals are to be made throughout the entire term of this investment, calculate the present value of the fund (i.e. at t=0).
(correct answer = 12097.62, asnwer IS NOT £16,538.08, no tables, please, ONLY formulas)
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- An investor pays the following separate amounts into a fund: £12,100 at t=7 years, £17,900 at t=13 years and £12,300 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 (correct answer = 12422.19, no tables, only formulas, please)An investor pays the following separate amounts into a fund: £12,100 at t=7 years £17,900 at t=13 years £12,300 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 (i.e. at time t=0). ONLY formulas, please, no tables) answer is NOT 12607.61An 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
- In order to meet some future liabilities, a company makes the following series of regular investments into a fund: £13633 pa paid 4 monthly in arrears in the first 3 years followed by £12177 pa paid half-yearly in advance in the next 4 years. Assuming that the fund accumulates compoundly at an effective rate of interest of 5.8% pa throughout, how much total fund the company will hold at the end of year t=14? Express your answer in £000s to 3 decimal places.£15,500 is invested at time t=0 and a further 6,800 at time t=6. Calculate the value of the fund after 21 years if the rates of interest applicable during this period are 1.7% per month effective for the first 11 years, and thereafter 8.7% per annum nominal payable quarterly for the remaining years£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)
- An investor pays the following separate amounts into a fund: £5,000 at t=0 £8,800 at t=7 £13,000 at t=14 Assuming an effective rate of interest of 9% pa, calculate the amount in the fund at time 22Someone invests a series of level payments at the end of each quarter into a sinking fund, with no withdrawals allowed at the following annual levels: £1511 per annum for the first 8 years followed by £1971 per annum until the end of year 22 (inclusive). Assume a nominal rate of interest of 6% pa convertible quarterly throughout the entire period, calculate, the value of this investment at the time of withdrawal of t=31 years. correct answer = 133570.39, No tables, only FORMULAS, please£4,000 is invested at time t=0 and a further 12,000 at t=6. Calculate the value of the fund at the end of 19 years if the rate of interest applicable during this period is 7.7% per annum nominal payable half-yearly for the first 12 years, and 3.3% per quarter year effective thereafter for the remaining years. No tables, Only formulas please
- $1,000 is invested in a fund at the beginning of the year. The fund rate of return is 8% for the first half of the year, and 10% for the second half. You are given the following methods of determining return, given the indicated transactions: Scenario Return Measure Midyear Transaction I Dollar-weighted $500 deposit II Dollar-weighted $500 withdrawal III Time-weighted $500 deposit IV Time-weighted $500 withdrawal Rank the rates of returns under these scenarios. A. I < II = IV < III B. II < III = IV < I C. III < I = II < IV D. IV < I = II < III E. None of these answers is correct.A closed-end fund starts the year with a net asset value of $12. By year-end, NAV equals $12.10. 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 $1.50. Required: a. What is the rate of return to an investor in the fund during the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Rate of return % b. What would have been the rate of return to an investor who held the same securities as the fund manager during the year? (Round your answer to 2 decimal places.) Rate of return %An investor is setting up a fund which requires 18 years of contributions. The investor pays £200 per month for 15 years. After 15 years, the payments increase by £10 for the subsequent 3 years. All payments are made in arrears, i.e at the end of the period. The effective annual rate i = 2%. What is the value of the fund after 18 years? £ 数字 Enter an answer correct to 2 decimal places.