s its cash flow obligations to be constant at $5Mln for the next 10 years and then grow by 5% in perpetuity starting year 11. Assume that interest rates are constant at 4% for the next ten years and will then increase to 6% from year 11 onwards. Determine the present value of the pension fund obligations. (Hint: You may want to divide the cash
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A pension fund projects its cash flow obligations to be constant at $5Mln for the next 10 years and then grow by 5% in perpetuity starting year 11. Assume that interest rates are constant at 4% for the next ten years and will then increase to 6% from year 11 onwards. Determine the present value of the pension fund obligations. (Hint: You may want to divide the cash flows into the
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- A pension fund is expected to produce a cash flow of $1,000 at the end of the upcoming year. This cash flow will grow at a rate of 10% for five years and then at the rate of 7% indefinitely. Assume the annual interest rate for pension-related investments is 12%. 1) What is the value of the pension fund?A pension fund must pay out $1 million next year, $2 million the following year, and then $3 million the year after that. If the discount rate is 8%, what is the duration of this set of payments?A pension fund is making an investment of $100,000 today and expects to receive $1,600 at the end of each month for the next five years. At the end of the fifth year, the capital investment of $100,000 will be returned. What is the internal rate of return compounded annually on this investment?
- a pension fund is making an investment of $100,000 today and expects to receive $1,600 at the end of each month for the next five years. At the end of the fifth year, the capital investment of $100,000 will be returned. What is the initial rate of return compounded annually on this investment?Sevim wants to create a savings of 95,000 TL at the end of 30 years. For this purpose, it plans to continue its investment by adding 120 TL to the bank at the end of each month for the first 120 months, and 120 TL + X TL for the remaining period. Calculate the value that X will receive under the assumption that the fund in which Sevim invests has an annual effective interest rate of 4.2%.What is the equivalent average annual effective rate of interest over 5-year period if the fund earns d^{(4)} = 4% for the initial 1 year, d^{(12)} = 6% for the next 2 years, and i^{(6)} = 9% in the last 2 years?
- A pension fund starts the year with $50million. After 6 months it has appreciated to $60million at which point it pays out pension of $20million. In the second half of the year, the fund appreciates by a further 50% Required; 1. Calculate the annually compounded $ Time weighted rate of return 2. Calculate the annually $ weighted rate of return 3. Suppose that this fund has a midyear cash inflow of $ 20 million rather than an outflow. Would this reduce or increase the time weighted rate of returnAn company needs to make the following annuity payments into a pension fund: £1100 paid at the beginning of each year for the first 5 years and then £1200 paid at the beginning of each year for the next 9 years and then £720 paid at the beginning of each year for the following 7 years. Calculate the amount of capital accumulated in the fund by the end of the last year, given that the rate of interest during this period is: 5.5% pa effective for the first 10 years and then 6.4% pa effective thereafter. NO tables, only formulas, pleaseA pension fund portfolio begins with $500,000 and earns 15% the first year and 10% the second year. At the beginning of the second year, the sponsor contributes another $500,000. What were the time-weighted and dollar-weighted rates of return?
- If P20,000 is invested in a fund that pays 10% compounded annually, how much money will be in the fund after 3 years? Accumulate P30,000 for 3 years and 6 months at 16% compounded semiannually. What is the compound amount after you invest P22,350 for 5 years and 6 months at 5% compounded semiannually? What is the (a) present value and (b) compound interest earned for 3 years and 9 months of P84,500 that is compounded quarterly at 20% interest? Find the nominal rate which when compounded semiannually and applied to a P50,000 principal will earn an interest of P5,000 after 60 months. In how many months will P10,000 earn a compound interest of P2,000 if money is worth 12% compounded monthly? What effective rate is the equivalent to 15% compounded annually?Suppose you make 30 annual investments in a fund that pays 6% compounded annually. If your first deposit is $7,500 and each successive deposit is 6% greater than the preceding deposit, how much will be in the fund immediately after the 30th deposit?Suppose that a $200M VC fund has a management fee of 2.5 percent per year for the first five years, with a reduction of 0.25 percent (25 basis points) in each year thereafter. All fees are paid on committed capital, and the fund has a 10-year life. What are the lifetime fees and investment capital for this fund?