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 theperson's life - i.e., starting 6 months from the date of retirement and includinghis/her date of death. Interest rates are 7 percent compounded annually, and aperson's life expectancy has been determined statistically as being 78.5 years.Calculate the amnunt of the annuity that would make a person indifferent betweenthe options?A person joins a pension plan at age 40 (40" birthday). How much will s/he haveto 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 onhis/her 60th birthday. Interest rates are 9% compounded semi-annually.

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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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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
What should be the balance in a Registered Retirement Income Fund (RRIF) that will provide $2,500 at the beginning of each half-year for 5 years, if the RRIF earns 4.75% compounded quarterly?
The beneficiary of a life insurance policy is to receive $2000 a year for 5 years, the first payment to be made at the time of the death of the injured. Find the value of the annuity at the time of death of injured, assuming the current interest rate to be 4%. Answer: $9259.8
What should be the balance in a Registered Retirement Income Fund (RRIF) that will provide $3,000 at the beginning of each half-year for 4 years, if the RRIF earns 5.25% compounded monthly?
Question 1 (Assume that a pension plan offers to pay $300,000 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 8 percentcompounded semi-annually , and a person’s life expectancy has been determined statistically as being 85 years. Calculate the amount of the annuity that would make a person indifferent between the options? Question 2 A person joins a pension plan at age 35. How much will she have to pay into the pension fund each year in order to accumulate a balance of $250,000 by the time s/he retires (age 65)? Assume that the payments start on his/her 35th birthday and the final payment is on his/her 60th birthday. Interest rates are 7% compounded annually. Question3 a) Laura Smith is planning for her and her husband Luke’s retirement. Both Luke and Laura expect to retire in 35 years (when they turn 65).…
A person joins a pension plan at age 35. How much will she have to pay into the pension fund each year in order to accumulate a balance of $250,000 by the time s/he retires (age 65)? Assume that the payments start on his/her 35th birthday and the final payment is on his/her 60th birthday. Interest rates are 7% compounded annually
A person has an individual retirement account that they contribute | . $2,150 to annually at the end of each year. The person wants to retire after making 35 annual contributions to the account. Assuming that the account earns 12% interest annually, using the Future Value of an Annuity of 1 table, compute the value of the account on the date of the final contribution (35 years from the present).
Just prior to the payout period the amount of money that is available in the contract as principal paid in over the life of the annuity is determined at $200,000. The total annuity is currently valued at $360,000. The annuity payment is calculated at $24,000 per year. Our client wants to retire at age 65. The IRS Tables multiplier from the IRS Table for Age 65 is 15 (remaining life expectancy). What amount will be tax-excludible to the annuitant? $1,111 until the principal amount has been exhausted $888.89 for the life of the annuitant $1,111 for the life of the annuitant $888.89 until the principal amount has been exhausted
Suppose your aunt has worked for 40 years and has accumulated a "nest-egg" of $1,000,000. She wishes to begin receiving an annual payment beginning next year, and continuing for another 20 years. If a pension plan will guarantee her an annual interest rate of at least 5% effective, what is her payment? Please show procedure and formulas used. Thanks
What should be the balance in a Registered Retirement Income Fund (RRIF) thật will provide $3,000 at the beginning of each half-year for 5 years, if the RRIF earns 4.25% compounded quarterly? $0.00 Round to the nearest cent
A death benefit on a life insurance policy can be paid in one of the following three ways: (i) A perpetuity of $250 at the end of each month (ii) $795.70 at the end of each month for n years (iii) One payment of $81,007 at the end of n years If each payment method produces the same present value for the death benefit, what is the present value of the death benefit? A. 48,300 B. 55,600 C. 61,900 D. 69,200 E. 78,500
D) A retiree invested P400,000 in a pension plan that earns 15% interest compounded monthly. If pension payments are given every three months, determine the amount of each payment that the retiree will receive for 15 years.

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