1. 2. 3. 4. 5. What is the pension cost in years 2 and 3 What is the over(under) pension funding at the end of year 3. Explain the logic for each of the three components of a firm's pension expense in any given year Change the discount rate to 5%. (corrected from an earlier posting that had it at 4%) What is the $ change in the underfunding in year 3? Explain the logic of the change in underfunding.
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- When your firm hires a new employee this year, it is obligated to contribute GBP £5,000 to a defined contribution plan for that employee, one year after the hire date. The contribution must be adjusted annually for inflation. Assume that inflation will be a constant 2.0% a year from this point forward. What is the pension cost to you of hiring a 30 year old who will be with the company for 32 years if the appropriate discount rate is 10%? Round your answer to the nearest pound.An employee's compensation includes an annuity that pays $110,000 at retirement, with each subsequent annual payment growing by 2% for a total of 8 payments overall. The firm's policy is to pre- fund such annuities before retirement. At an interest rate of 5%, how much would the firm need to invest 3 years before retirement? Please round your answer to the nearest hundredth.To insure you, Assurances Nochance Ltd offers the following plan: you will pay 20 annual payments of $8,000 starting one year from today. Then, in year 21, you or your heirs will receive a pension for the following 15 years. The discount rate used by the company to calculate your pension is 6%. (a) What is the size of your annual pension? (b) Ifyoucouldtakeaone‐timelumpsumpayment25yearsfromtodayinsteadofthepension,how high would the equivalent lump sum payment have to be?.
- Your firm has a retirement plan that matches all employee contributions with employer contributions on a two-to-one basis. That is if an employee contributes £1,000 per year, the company will add £2,000 to make the total contribution £3,000. The firm guarantees a fixed 6 per cent return on the funds. Alternatively, you can provide for retirement yourself, and you think you can earn 9 per cent on your money. The first contribution will be made one year from today. At that time and every year thereafter, you will put £2,500 into the retirement account, the same amount as you would have contributed to the company pension fund. You plan to retire in 30 years. Are you going to be better off participating in the company scheme or making your own arrangements? Explain the basis of your answer (ignore any tax considerations).A client currently has $100,000 earmarked for retirement and expects a 7% annual return on the account both preretirement and post retirement. What is the income at the beginning of each month the account could provide for 20 years in retirement if the client is currently age 40 and plans to retire at age 67?The managing partner, Karen Thompson, has asked you to do some quick calculations for her. She wants you to use the current yield curve, flat at 6%, in your calculations. Client Annie Inc. has a pension plan that pays pension benefits annually at a rate of $10 million per year, starting one year from today. The pension obligation will end in 40 years. Karen wants to know the duration of these required pension payments. Client Billy Mack Co. wants to immunize its pension obligations (present value = $150 million with a duration of 22 years) with two $1000 face value bonds. The first bond is a 7-year 5% annual coupon bond issued by Jaime Corp. The second bond issuer, Kari Ltd., has issued a consol bond paying a 10% annual coupon perpetually. Ms. Thompson wants you to calculate the money Billy Mack should allocate to each of these bonds to immunize its pension against interest rate risk. Thirdly, client Colin Limited’s pension plan obligation has a duration of 16 and a convexity of 29.…
- To insure you, Assurances Nochance Ltd offers the following plan: you will pay 20 annual payments of $8,000 starting one year from today. Then, in year 21, you or your heirs will receive a pension for the following 15 years. The discount rate used by the company to calculate your pension is 6%. (a) What is the size of your annual pension? (b) If you could take a one‐time lump sum payment 25 years from today instead of the pension, how high would the equivalent lump sum payment have to be?The managing partner, Karen Thompson, has asked you to do some quick calculations for her. She wants you to use the current yield curve, flat at 6%, in your calculations. Client Annie Inc. has a pension plan that pays pension benefits annually at a rate of $10 million per year, starting one year from today. The pension obligation will end in 40 years. Karen wants to know the duration of these required pension payments. Client Billy Mack Co. wants to immunize its pension obligations (present value = $150 million with a duration of 22 years) with two $1000 face value bonds. The first bond is a 7-year 5% annual coupon bond issued by Jaime Corp. The second bond issuer, Kari Ltd., has issued a consol bond paying a 10% annual coupon perpetually. Ms. Thompson wants you to calculate the money Billy Mack should allocate to each of these bonds to immunize its pension against interest rate risk. Thirdly, client Colin Limited’s pension plan obligation has a duration of 16 and a convexity of 29.…With an annual gross income of AUD100,000, Oscar intends to make a 12% contribution towards an accumulation superannuation plan (including both employer compulsory rate and employee voluntary rate). If the investment return is 4% per annum and assuming contributions are made annually, what is the projected balance (approximately) of Oscar's superannuation account in 25 years if the starting balance is zero today (ignore taxes and fees)? Select one: O O O A. 100,000 B. 200,000 C. 500,000 D. 300,000 E. 400,000
- Your employer automatically puts 10 percent of your salary into a 401(k) retirement account each year. The account earns 8% interest. Suppose you just got the job, your starting salary is $45000, and vou expect to receive a 4% raise each year. For simplicity, assume that interest earned and your raises are given as nominal rates and compound continuously. Find the value of vour retirement account after 35 years Value = $ 262549.28 PreviewYour employer will give you a raise in an annual salary of $10,000 if you pass a Professional Engineering exam. Assume that you can work for the company for n years. Use the discount rate (r) of 8% per year. a. What is PV of the raise for n = 35? b. What is AE of the raise? c. Redo part a for n = ∞.1. Assume you deposit $3,000 today, and $300 at the end of each year, in an account earning 4% per year for 20 years. What is the future value? 2. General Electric has an unfunded pension liability of $300 million that must be paid in 15 years. The CFO deposits $10 million in account today to help meet this goal, and will also deposit $8 million at the end of the next 15 years, to meet this liability. What annual rate of interest must the account earn to meet the liability? 3. What is the present value of an ordinary annuity that promises $20,000 per year for 20 years if the appropriate discount rate is 5%? 4. What is the present value of an annuity due that promises $20,000 per year for 20 years if the appropriate discount rate is 5%?