Can I get assistance on this question please? You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund aregoing to closely resemble level perpetuities of $1.8 million per year. The interest rate is 10%. You plan to fully fund the obligation using5-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 roundintermediate calculations. Enter your answers in millions. Round your answers to 1 decimal place.)Market ValueFive-yearmillionTwenty-yearmillionb. What must be the face value of each of the two zeros to fund the plan? (Do not round intermediate calculations. Enter youranswers in millions rounded to 2 decimal places.)Face ValueFive-yearTwenty-yearmillionmillion

Bonds are used to finance projects and operations by corporations, cities, states, and sovereign…

Answered: You manage a pension fund that will…

FINANCIAL ACCOUNTING

10th Edition

ISBN:9781259964947

Author:Libby

Publisher:Libby

Chapter1: Financial Statements And Business Decisions

Section: Chapter Questions

Problem 1Q

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Consider a pension plan that will pay $10,000 once a year for a 5-year period (5 annual payments). The first payment will come in exactly 5 years (at the end of year 5) and the last payment in 9 years (at the end of year 9). a. What is the duration of the pension obligation? The current interest rate is 9% per year for all maturities. b. To generate the scheduled pension payments, the pension fund wants to invest the present value of the future payouts in bonds and match the duration of its obligation in part a). If the fund uses 5-year and 10-year zero-coupon bonds to construct its investment position, how much money (dollar amount) ought to be placed in each bond now? What should be the total face value (not current market value) of each zero coupon bond held? c. Right after the fund made its investment outlined in part b), market interest rates for all maturities dropped from 9% p.a.to 8% p.a. Show that the investment position constructed in part b) can still approximately fund the…
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. O 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. Question 9 Using the same information from question 8, suppose that one year has passed, and the interest rate remains at 10%. What actions are required to rebalance the portfolio? O buy additional 0.67 million 5-year bond and sell 0.67 million 20-year bond. Sell 0.67 million 5-year bond, purchase additional 0.67 million…
Leaf Products may issue a 10-year maturity fixed-income security, which might include a sinking fund provision and either refunding or call protection.a. Describe a sinking fund provision.b. Explain the impact of a sinking fund provision on:i. The expected average life of the proposed security.ii. Total principal and interest payments over the life of the proposed security.c. From the investor’s point of view, explain the rationale for demanding a sinking fund provision.
d) If the pension fund you manage expects to have an inflow of $200 million 12 months from now what forward contract would you seek to enter into to lock in current interest rates? 30
There are two investment options available for you. The first option requires you to invest 5,000$ in 1 year with 7% interest rate and collect your return in year 27. Second option requires you to put 500$ today with 11% interest rate and collect the fund in year 65. What is the compounding effect combination of these two investments? Select one: a.470,570 b.410,795 C.490,510 d.465,070
Your financial planner offers you two different investment plans. Plan 1 is a R3958 annual perpetuity. Plan 2 is a 12 year, R8016 annual annuity. Both plans will make their first payment one year from today. At what discount rate would you be indifferent (ie same rate) between these two plans?
8) Special Retirement PlanYou set up a retirement plan where you will invest $20,000 per year in an account with a guaranteed rate of return of ? = 0.05. The plan requires that you start investing immediately at year t=0, and make fifteen (15) additional payments of $20,000 in years t=1, t=2, ..., t=10. You make 11 investments in total. a. What will be the value of this stream of investments in year t=50? b. What is the maximum you can withdraw per year over the twenty (20) year period from t=51, t=52, ..., t=70? You have to withdraw the same amount each year. c. What is the maximum that you can withdraw per year forever if you start to make withdrawals in year t=51. You have to withdraw the same amount each year. 19)
You have RM 5,000.00 you want to invest for the next 45 years until retirement. You are offered an investment plan that will pay you 6 percent per year for the next 15 years and 10 percent per year for the last 30 years.a) Explain the time value of money principleb) Identify the underlying assumption of the time value of money principlec) Draw a graph that illustrates the relationship between interest rates and the present value of RM 1,000.00 to be received in one year.d) Suggest how you can minimize the amount of cash you must invest in order to reach your retirement goal.e) Compute the amount you will have at the end of the 45 years.f) Calculate the amount you would have if the investment plan pays 10 percent for the first 15 years and 6 percent per year for the next 30 years.
please answer (D) Suppose that a woman deposits $10,000 into an investment fund that guarantees to pay 0.5% interest everymonth. That is, interest is compounded monthly at a rate of 0.5% per month. a) What is the nominal annual interest rate? b) What is the effective annual interest rate? c) Assuming that no additional deposits or withdrawals are made, use the appropriate compound interestfactors to determine how much the fund will be worth:i) After 1 year;ii) After 2 years. d) Verify that your answers in parts (b) and (c) are correct by constructing a table or spreadsheet thatshows how the initial deposit will grow over 2 years. At a minimum, your table or spreadsheet shouldinclude a row for each interest period over a 2-year planning horizon and show: the value of in the investment fund at the start of each interest period the amount of interest earned each interest period; and the value of the fund at the end of each interest period.Be sure to briefly explain how your table or…
A.)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?
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?
The amount of money originally put into an investment is known as the present value P of the investment. For example, if you buy a $50 U.S. Savings Bond that matures in 10 years, the present value of the investment is the amount of money you have to pay for the bond today. The value of the investment at some future time is known as the future value F. Thus, if you buy the savings bond mentioned above, its future value is $50. If the investment pays an interest rate of r (as a decimal) compounded yearly, and if we know the future value F for t years in the future, then the present value P = P(F, r, t), the amount we have to pay today, can be calculated using the formula below. P = F × 1 (1 + r)t We measure F and P in dollars. The term 1/(1 + r)t is known as the present value factor, or the discount rate, so the formula above can also be written as the following. P = F × discount rate (a) Explain what information the function P(F, r, t) gives you. The function…

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