The manager responsible for the pension fund of Ruthin plc has to present a report to the Board of Directors on the financial position of the fund. He decides to use the position of the typical employee to illustrate the fund’s position. There is £30,000 currently held in the fund for each employee. The typical employee has 15 years to go to retirement and the company’s actuary has proposed that the company should anticipate having to fund pension payments over a retirement period of 12 years for the average employee. The average pension payment per annum is expected to be £12,000 and the rate of return expected on the pension funds investment is expected to be 6 per cent. The manager needs to determine the constant annual sum that the company needs to put into the pension fund for each of the next 15 years to be able to meet the fund’s obligations. Determine this annual sum. (Assume all payments into the fund and all pension payments are made at the end of each year.)

please solve without using excel and also using both the bisection method and the interpolation method

Sachs Brands's defined benefit pension plan specifies annual retirement benefits equal to 1.6% x service years x final year's salary. payable at the end of each year. Angela Davenport was hired by Sachs at the beginning of 2010 and is expected to retire at the end of 2044 after 35 years' service. Her retirement is expected to span 18 years. Davenport's salary is $84,000 at the end of 2024 and the company's actuary projects her salary to be $250,000 at retirement. The actuary's discount rate is 6%. Note: Use tables, Excel, or a financial calculator. (FV of $1. PV of $1. EVA of $1. PVA of $1. EVAD of $1 and PVAD of $1) Required: 2. Estimate by the projected benefits approach the amount of Davenport's annual retirement payments earned as of the end of 2024. 3. What is the company's projected benefit obligation at the end of 2024 with respect to Davenport? Note: Do not round intermediate calculations. Round your final answer to the nearest whole dollar. 4. If no estimates are changed in…

The trustee for the Bronson Corporation defined benefit pension plan sent a report to the CEO with the following information for the fiscal year:       Beginning balance of plan assets at fair value $ 1,560,000   Actual return on plan assets $ 210,000   Employer’s contribution $ 150,000   Distributions to retirees $ 75,000   Service cost $ 125,000   Interest cost $ 156,000   Loss from changes in benefits or assumptions $ 35,000   Beginning balance of the PBO $ 1,580,000       The ending balance of plan assets is:   Multiple Choice   $1,770,000.   $1,845,000.   $1,920,000.   $1,955,000.

The Carrasco Company has provided you the following information pertaining to its defined benefit pension plan that was adopted on January 1, 20X1:   The service cost was $750,000 during 20X1 and $1,125,000 during 20X2. The contribution to the pension plan was $600,000 on December  31, 20X1 and $1,200,000 on December 31, 20X2. The actuarially determined discount rate and the expected return on plan assets are both 10%. The actual return on plan assets was 10.5%. Retirement benefits pertaining to years of service prior to 20X1 were not granted to the employees.   What is the pension expense for the year ended December 31, 20X2? Multiple Choice   $1,140,000   $1,065,000   $1,200,000   $1,137,000

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