You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are (approximately) level perpetuities of $1 million per year. The interest rate is 10%. You plan to fully fund the obligation using 5-year maturity and 20-year maturity zero-coupon bonds. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position? 4 million for 5 year bond and 6 million of 20-year bond. 6 million for 5 year bond and 4 million of 20-year bond. 6.67 million for 5 year bond and 3.33 million of 20-year bond. O 3.33 million for 5 year bond and 6.67 million of 20-year bond.
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- You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are going to closely resemble level perpetuities of $1.4 million per year. The interest rate is 8%. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds.Required: a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position?You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are going to closely resemble level perpetuities of $2.1 million per year. The interest rate is 10%. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds.Required: a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position? (Do not round intermediate calculations. Enter your answers in millions. Round your answers to 1 decimal place.) Market Value Five year: Twenty year: b. What must be the face value of each of the two zeros to fund the plan? (Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places.) Face Value Five year: Twenty year:You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are going to closely resemble level perpetuities of $1.8 million per year. The interest rate is 10%. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds.Required: a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position? (Do not round intermediate calculations. Enter your answers in millions. Round your answers to 1 decimal place.) Market Value Five-Year ___ Million Twenty-Five Year ___ Million b. What must be the face value of each of the two zeros to fund the plan? (Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places.) Face Value Five-Year ___ Million Twenty-Five Year ___ Million
- As a pension fund manager, you anticipate that you have to pay out 8 percent on $100 million for the next eight years. The payment is made semi-annually. You currently hold $100 million of floating-rate note that pays LIBOR + 2.5 percent. What is your potential risk? To eliminate or reduce your risk, you arrange a swap with a dealer who agree to pay you 6 percent fixed, while you pay him LIBOR. The swap payment is made semi-annually as well. Determine your cash flow as a percent of notional amount at each payment date under this arrangement and assess if you have sufficient cash flow to pension fund holderA.)Your client has just been given a lump sum payout from his pension plan. He wants to purchase an annuity contract that will provide him with payments of $50,000 per year for the next 20 years. If comparable investments pay 6% per year, how much should he pay for an annuity contract? B.) Your client has just been given a lump sum payout from his pension plan. He wants to purchase an annuity contract that will provide him with payments of $4,000 per month for the next 20 years. If comparable investments pay 6% per year, how much should he pay for an annuity contract?Suppose you retire with $1million at age of 65. You plan to invest your retirement into a mixture of a riky fund and a fixed income fund, where the return of the risky fund follows a normal distribution. You plans to withdraw $150,000 at the end of every year from this accout. To prevent overwithdrawal at the end, you put a safety cushion of 3 If balance of the retirement fund at the end of year, before annual withdrawal is less than 3 times the planned annual withdrawal amount, you withdraw one-third of the remaining balance. (Hint: use IF function) You want to find out how much you are left at the age of 75. Simulate one time to find out the remaining balance at the age of 17 ( 10 years later) Simulate 100 times, find out average, standard deviation, along with probabilty of the remaining fund is positive.
- A pension fund manager decides to invest a total of at most $30 million in U.S. Treasury bonds paying 4% annual interest and in mutual funds paying 8% annual interest. The fund manager plans to invest at least $5 million in bonds and at least $10 million in mutual funds. Bonds have an initial fee of $100 per million dollars, while the fee for mutual funds is $200 per million. The fund manager is allowed to spend no more than $5000 on fees. How much should be invested in each to maximize annual interest? What is the maximum annual interest?You put $6,500 into a Roth IRA and invest everything in a corporate bond fund. The fund has an annual expense ratio of 1.5%. Your expected annual return is 8.5%, your current tax rate is 35%, and you expect your tax rate in retirement to be 25%. The long-term capital gains rate is 15% and the short-term capital gains rate is 35%. What is the after-tax future value of your investment in 20 years? Answer should be formatted as a number with 2 decimal places (e.g. 99.99) The answer is neither 22,355.01 or 18,864.71A pension fund manager decides to invest a total of at most $35 million in U.S. Treasury bonds paying 3% annual interest and in mutual funds paying 5% annual interest. He plans to invest at least $ 5 million in bonds and at least $10 million in mutual funds. Bonds have an initial fee of $100 per million dollars, while the fee for mutual funds is $200 per million The fund manager is allowed to spend no more than $6000 on fees. How much should be invested in each to maximize annual interest? What is the maximum annual interest? The amount that should be invested in Treasury bonds is $_ million and the amount that should be invested in mutual funds is $_ million
- A pensioner is expecting a lump sum of GHC 200,000 when she goes on pension next year and is thinking of the best way to allocate the funds to be received. An investment analyst has introduced her to a four funds as follows: Gamma Fund: This specializes in money market instruments and bonds of large corporations Delta Fund: This specializes in equities of exchange listed financial institutions Beta Fund: This specializes in bonds and equities of all good performing companies Index Fund: This is a portfolio that mimics the Ghana Stock Exchange All Share Index The investment analyst gathered information about the performance of the four funds and this is presented below: Funds Mean Return Standard Deviation Beta Co-efficient Gamma 15% 8% 0.25 Delta 20% 14% 1.20 Beta 18% 14% 0.85 Index 17% 12% 1.00 The rate on Government of Ghana five-year bond which is used as the standard risk-free rate is 8% per annum. The…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?You have just turned 25 and may now spend a portion of the trust fund your parents established for you. The terms of the trust fund allow you to withdraw 60 beginning-of-the-year cash flows of $100,000 each. An investment firm has offered to pay you cash for all of the fund today. If the rate they use to discount the cash flows is 16% per year, what is their offer price today for your pension fund?