The proceeds of $493000 death benefit are left on deposit with an insurance company for 10 years at an annual effective interest rate of 18.04 %. The balance at the end of 10 years is paid to the beneficiary in 125 equal monthly payments of X, with the first payment made at the end of 10 month from the end of deposit. During the payout period, interest is credited at an annual effective interest rate of 12.89 %. Calculate X.

The proceeds of $493000 death benefit are left on deposit with an insurance company for 10 years at an annual effective interest rate of 18.04 %. The balance at the end of 10 years is paid to the beneficiary in 125 equal monthly payments of X, with the first payment made at the end of 10 month from the end of deposit. During the payout period, interest is credited at an annual effective interest rate of 12.89 %. Calculate X.

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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A perpetuity pays $9600 per half-year, as follows: • in odd-numbered half-year, a payment of $9600 is made at the begin of the half-year. • in even-numbered half-year, a payment of $4800 is made at the end of each quarter. Interest is at annual effective rate of 12.03 %. At the begin of an odd-numbered period, this perpetuity is exchanged for another of equal value which provides monthly payments, the first payment due 39 month hence. What is the monthly payment of the new perpetuity ? Answer: 260.99
Determine the amount of the ordinary annuity at the end of the given period. (Round your final answer to two decimal places.) $600 deposited quarterly at 6.1% for 9 years
Two annuities are available for purchase that your client has identified. The first annuity pays $7,000 each six-month period over a 5-years period, at a nominal rate of 9% p.a. The annuity has an annual fee of $300, paid at the beginning of each year. The second annuity pays $1,000 each month, again over 5 years at a nominal rate of 10% p.a. and does not have an annual fee. If each of the annuities cost $50,000, identify which of the annuities you would recommend to your client.
A sum of $ 10, 000 is used to buy a deferred perpetuity-due paying $671.69 every six months forever. Find the deferred period in years if the annual effective rate of discount is d = 0.09. ANSWER = years.
A 20-year annuity was purchased with $180,000 that had accumulated in an RRSP. The annuity provides a semiannually compounded rate of return of 5% and makes equal month-end payments. What will be the principal portion of Payment 134?
Find the future value of the annuity due.S800 deposited at the beginning of each year for 13 years at 3%compounded annually
To save for graduate school, a student invests $1470 semiannually in an ordinary annuity with 3% interest compounded semiannually. Determine the accumulated amount in the student's annuity after 15 years.
Present Value of an Annuity Determine the present value of $110,000 to be received at the end of each of four years, using an interest rate of 5%, compounded annually, as follows: a. By successive computations, using the present value of $1 table in Exhibit 5. Round to the nearest whole dollar. b. By using the present value of an annuity of $1 table in Exhibit 7. Round to the nearest whole dollar.
A perpetuity-due with annual payments consists often level payments of X followed by a series of increasing payments. Beginning with the eleventh payment, each payment is 1.5% larger than the preceding payment. Using an annual effective interest rate of 5%, the present value of the perpetuity is 45,000. Calculate X. B C 1,679 E 1,696 1,737 D 1,763 1,781
If $650 000 is saved for retirement, what rate of interest, compounded monthly, will provide payments of $3750 every month for the next 25 years? Select one: O a. 14.606797% O b. 0.811327% O c. 4.888702% O d. 4.867963%
Bill makes deposits of 2,700 at the end of each year for n years into a fund. At time n, he uses the accumulated value of the fund to purchase an annuity immediate that makes payments of 197,909.20 at the end of each year for 5 years. The annual effective interest rate is 15%. Calculate n. O a. 26 O b. 29 O c. 28 O d. 24 O e. 22

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