Professor's Annuity Corporation offers a lifetime annuity to retiring professors. For a payment of $87,000 at age 65, the firm will pay the retiring professor $775 a month until his death. a. If the professor's remaining life expectancy is 15 years, what is the monthly interest rate on this annuity? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. b. What is the effective annual interest rate? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c. If the monthly interest rate is 0.75%, what monthly annuity payment can the firm offer to the retiring professor? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. a. Monthly rate on annuity b. Effective annual rate c. Monthly annuity payment % %

Professor's Annuity Corporation offers a lifetime annuity to retiring professors. For a payment of $87,000 at age 65, the firm will pay the retiring professor $775 a month until his death. a. If the professor's remaining life expectancy is 15 years, what is the monthly interest rate on this annuity? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. b. What is the effective annual interest rate? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c. If the monthly interest rate is 0.75%, what monthly annuity payment can the firm offer to the retiring professor? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. a. Monthly rate on annuity b. Effective annual rate c. Monthly annuity payment % %

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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Professor’s Annuity Corp. offers a lifetime annuity to retiring professors. For a payment of $350,000 at age 65, the firm will pay the retiring professor $2,800 a month until death. If the professor’s remaining life expectancy is 30 years, what is the monthly rate on this annuity? What is the effective annual rate?
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A perpetuity makes its first annual payment of $110 exactly 17 years from today. The discount rate is 6.1% per annum compounded annually. 1) What is the present value of this perpetuity valued at exactly Year 13? (Round your answer to the nearest cent) 2) What is the present value of this perpetuity valued at exactly Year 0? (Round your answer to the nearest cent)
What's the future value of a 3-year $500 ordinary annuity, if the quoted interest rate is 11.35%, compounded semiannually? Note that the annuity payments are annual but that the compounding is semiannual. Round your final answer to 2 decimal places. O $1,777.10 $1,757.72 O $1,729.62 $1,676.69 $1,888.60
If you start making $60 monthly contributions today and continue them for five years, what's their future value if the compounding rate is 10.25 percent APR? What is the present value of this annuity? Note: Do not round intermediate calculations and round your final answers to 2 decimal places.
1. At the end of each month for 45 years, a 25-year-old deposits $100 into a retirement account at 7.2% interest, compounded monthly. Use the increasing annuity formula to determine how much money will be in the account when this investor reaches age 70. (Round your answer to the nearest dollar.)
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Provide manual solutions to below mentioned problems. An engineer is entitled to receive P25,000 at the beginning of each year for 18 years. If the rate of interest is 4% compounded annually. 1. What is the present value of this annuity at the time he is supposed to receive the first payment?2. What is the sum of this annuity at the end of the 18th year?3. Find the difference between the sum of this annuity which is paid at the beginning of each year and an annuity paid at the end of each year. Answer. 1. P329,141.72 2. P666,780.73 3. P25,645.41
Find the future value of each annuity due. Then determine how much of this value is from contributions and how much is from interest. Payments of $220 were made at the beginning of each quarter for 15 years at 4.6% compounded quarterly. The future value of the annuity due is $19077.23. The amount from contributions is $_______ The amount from interest is $ ________ do not round until the final answer.
Appendix D Present value of an annuity of $1, PV PV-A (1+ Percent Period 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 1. 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.713 1.690 3 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.444 2.402 4 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.102 3.037 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.696 3.605 6. 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4,486 4.355 4.231 4.111 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.712 4.564 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 5.146 4.968 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.537 5.328 10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.889 5.650 11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 6.207 5.938 ........ 12 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.492…

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