A pension fund projects its cash flow obligations to be constant at $5MIn for the next 10 years and then growby 5% in perpetuity starting year 11. Assume that interest rates are constant at 4% for the next ten years andwill 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 annuity and the growing perpetuity component.)

Present value is the equivalent value of money based on time and interest rate of the cash flow that…

Answered: A pension fund projects its cash flow…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Similar questions

You are going to invest $1,500 today in a fund today. After 10 years, you want to have exactly $2,500 in the fund. If the interest rate is compounded annually, what interest rate is needed to achieve this?
From the table below, answer comprehensively the following subparts: a. Which plan do you prefer? Why? b. How does duration affect the future value of an annuity? c. How does compounding period affect the future value of an annuity?
Use the following 8% interest factors to answer the question below: Future Value of Ordinary Annuity. 8.92280 10.63663 12.48756 What amount should be recorded as the cost of a machine purchased December 31, 2023, which is to be financed by making 8 annual payments of $10,000? Each payment is made at the end of the period. The applicable interest rate is 8%. Present Value of Ordinary Annuity. 5.2064 5.7466 6.2469 7 periods 8 periods 9 periods hs
What is the present value of a $1,000 annuity for 10 years, with the first payment occurring at the end of year 10 (that is, ten $1,000 payments occur- ring at the end of year 10 through vear 19). given a discount rate of 10 percent?
An investment offers $966 per year for 11 years, with the first payment occurring Zyears from now. If the required return is 9 percent, what is the value of the investment? (HINT: Remember that when you calculate the PV of the annuity, the claculator gives you the present value of the annuity 1 period before the annuity starts. So if the annuity starts in year 7, that calculator will to give you the persent value of annuity in year 6. Now you have to bring this number to period O by inputting: N=6 (1 period before the annuity starts, in your case it would be a different number depending when your annuity starts) R=9 FV=Present value of annuity you found in step 1. And you solve for PV)
Find the present value of the decreasing annuity necessary to fund a withdrawal of $100 per month for 20 years, if the annuity earns 3% per year. (Assume end-of-period deposits and compounding at the same intervals as deposits.) Round your answer to the nearest cent.
You build a retirement fund by continuously paying into the fund for 30 years, at a rate of 5,000 per year at an effective annual interest rate of 9%. After 30 years, you buy a 30-year annuity immediate with your fund at an effective annual interest rate of 8%. The annuity pays P after one year, and payments increase by 5% thereafter. Find P
Consider a stream of cash flows, where you receive $2,000.00 per year for 20 yearsEXCEPT year 12 during which you receive only $1,000.00. If the current market rate ofinterest is 7.200% (compounded annually), then what is the present value of this stream ofuneven cash flows? Hint: there are several ways to solve this problem but see if you cansolve it using a single annuity formula.
Suppose you would like to invest your money for your future. You have threechoices of funding agencies namely, FA 1, FA 2, and FA 3. Based on the givendata below, compute for the future interest of each funding agency. What would you choose? Explain your answer.
A lump sum S deposited into either fund X or fund Y will be exactly sufficient to provide a perpetuity of $100 per year with the first payment due at the end of one year. Fund X will earn interest at an effective annual rate of 10% for the first 30 years and 6% thereafter. Fund Y will earn interest at a level effective annual rate of j. In which of the following ranges is j? someone help?

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