Required: A pension plan is obligated to make disbursements of $1 million, $2 million, and $1 million at the end of each of the next three years, respectively. The annual interest rate is 10%. If the plan wants to fully fund and immunize its position, how much of its portfolio should it allocate to one-year zero-coupon bonds and perpetuities, respectively, if these are the only two assets funding the plan? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Investment in one-year zero-coupon bonds Investment in perpetuity Portfolio % %
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- Required: A pension plan is obligated to make disbursements of $1 million, $2 million, and $1 million at the end of each of the next three years, respectively. Find the duration of the plan's obligations if the interest rate is 10% annually. (Do not round intermediate calculations. Round your answer to 4 decimal places.) Duration yearsAssume that a pension plan offers to pay $500,000 on a person's retirement (his/her sixty-fifth birthday) or a semi-annual annuity for the remainder of the person's life - i.e., starting 6 months from the date of retirement and including his/her date of death. Interest rates are 7 percent compounded annually, and a person's life expectancy has been determined statistically as being 78.5 years. Calculate the amnunt of the annuity that would make a person indifferent between the options? A person joins a pension plan at age 40 (40" birthday). How much will s/he have to pay into the pension fund each year in order to accumulate a balance of $500,000 by the time s/he retires (age 65)? Assume that the final payment is on his/her 60th birthday. Interest rates are 9% compounded semi-annually.Assume that a pension plan offers to pay $500,000 on a person's retirement (his/her sixty-fifth birthday) or a semi-annual annuity for the remainder of the person's life – i.e., starting 6 months from the date of retirement and including his/her date of death. Interest rates are 7 percent compounded annually, and a person's life expectancy has been determined statistically as being 78.5 years. Calculate the amounț of the annuity that would make a person indifferent between the options?l .Ysm
- Presented below is information related to the pension plan for Colette Inc. for the year 2021. 1. The projected benefit obligation at the beginning of the year is $700,000, and the settlement rate is 6%. 2. The fair value of pension plan assets at the beginning of the year is $650,000, and the expected return is 9%. The actual return on pension plan assets equals $48,000. 3. At the beginning of the year, Colette has Accumulated OCI (loss) of $90,000. Any amortization of unrecognized net loss is recognized on a straight-line basis over the average remaining service-life of the employees, which equals 8 years. 4. At the beginning of the year, Colette has Accumulated OCI (prior service cost) of $128,000. The company amortizes the prior service cost on a straight-line basis over the average remaining service-life of the employees, which equals 8 years. 5. The service cost related to pension expense is $180,000. 6. The contributions made to the pension fund in 2021 were $151,000. 7. The…Presented below is information related to the pension plan of Sandhill Inc. for the year 2021. 1. The service cost related to pension expense is $250,000 using the projected benefits approach. 2. The projected benefit obligation and the accumulated benefit obligation at the beginning of the year are $330,000 and $300,000, respectively. The expected return on plan assets is 9% and the settlement rate is 10%. 3. The accumulated OCI – prior service cost at the beginning of the year is $150,000. The company has a workforce of 200 employees, all who are expected to receive benefits under the plan. The total number of service-years is 1,000 and the service-years attributable to 2021 is 200. The company has decided to use the years-of-service method of amortization for these costs. 4. At the beginning of the period, the fair value of pension plan assets was $300,000. The company had an Accumulated OCI (loss) at the beginning of the period of $100,000. Any amortization of…3. Presented below is information related to the pension plan of Zimmer Inc. for the year 2018. 1. The service cost related to pension expense is $260,000 using the projected benefits approach. 2. The projected benefit obligation and the accumulated benefit obligation at the beginning of the year are $350,000 and $280,000, respectively. The expected return on plan assets is 9% and the settlement rate is 10%. 3. The accumulated OCI – prior service cost at the beginning of the year is $140,000. The company has a workforce of 200 employees, all who are expected to receive benefits under the plan. The total number of service- years is 1,000 and the service-years attributable to 2018 is 200. The company has decided to use the years-of-service method of amortization for these costs. At the beginning of the period, the fair value of pension plan assets was $280,000. The company had an Accumulated OCI (loss) at the beginning of the period of $90,000. Any amortization of unrecognized net loss…
- If 90,000 is invested in a fund on December 31, 2019, and 5 equal annual withdrawals of 23,138.32 are made starting on December 31, 2020, that will deplete the fund, what is the interest rate being earned if interest is compounded annually?Son.1 A pension plan must make total disbursements of $2.7 million, $3.7 million, and $2.7 million annually for the next three years, respectively. The fund makes these payments twice a year, paying half of each year's total amount six months into the year and the remaining half at the end of the year.Find the duration of the pension obligations if the term structure is flat at 10%.Presented below is information related to the pension plan of Ivanhoe Inc. for the year 2021. 1. The service cost related to pension expense is $233,000 using the projected benefits approach. 2. The projected benefit obligation and the accumulated benefit obligation at the beginning of the year are $313,000 and $266,000, respectively. The expected return on plan assets is 9% and the settlement rate is 10%. 3. The accumulated OCI – prior service cost at the beginning of the year is $133,000. The company has a workforce of 200 employees, all who are expected to receive benefits under the plan. The total number of service-years is 1,000 and the service-years attributable to 2021 is 200. The company has decided to use the years-of-service method of amortization for these costs. 4. At the beginning of the period, the fair value of pension plan assets was $266,000. The company had an Accumulated OCI (loss) at the beginning of the period of $83,000. Any amortization of…
- An enterprise needs to make the following annuity payments into a private pension fund: £1100 paid at the beginning of each year for the first 6 years and then £1199 paid at the beginning of each year for the next 9 years and then £720 paid at the beginning of each year for the following 7 years. Calculate the amount of capital accumulated in the fund by the end of the last year, given that the rate of interest during this period is: 6.6% pa effective for the first 10 years and then, 6.4% pa effective thereafter. no tables, only formulas, pleaseAn company needs to make the following annuity payments into a pension fund: £1100 paid at the beginning of each year for the first 5 years and then £1200 paid at the beginning of each year for the next 9 years and then £720 paid at the beginning of each year for the following 7 years. Calculate the amount of capital accumulated in the fund by the end of the last year, given that the rate of interest during this period is: 5.5% pa effective for the first 10 years and then 6.4% pa effective thereafter. NO tables, only formulas, pleasePharoah Corp. has the following beginning-of-the-year present values for its projected benefit obligation and market-related values for its pension plan assets. ProjectedBenefitObligation PlanAssetsValue 2019 $2,340,000 $2,223,000 2020 2,808,000 2,925,000 2021 3,451,500 3,042,000 2022 4,212,000 3,510,000 The average remaining service life per employee in 2019 and 2020 is 10 years and in 2021 and 2022 is 12 years. The net gain or loss that occurred during each year is as follows: 2019, $327,600 loss; 2020, $105,300 loss; 2021, $12,870 loss; and 2022, $29,250 gain. (In working the solution, the gains and losses must be aggregated to arrive at year-end balances.)Using the corridor approach, compute the amount of net gain or loss amortized and charged to pension expense in each of the four years, setting up an appropriate schedule.