ack inherited a perpetuity-due, with annual payments of 10,000. He immediately exchanged the first 10 payments of the perpetuity for a perpetuity-immediate having the same present value. The perpetuity-immediate has annual payments of X starting at the end of the 11th year. All the present values are based on an annual effective interest rate of 5.5%. Calculate X
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ack inherited a perpetuity-due, with annual payments of 10,000. He immediately exchanged the first 10 payments of the perpetuity for a perpetuity-immediate having the same
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- Paola purchases a 10 year annuity immediate with an annual effective rate of interest of 7.0718% and annual payments of 10x. Kurt purchases a 10 year decreasing annuity immediate with annual payments and an effective rate of interest of 7.0718%. His first payment is $50 and subsequent payments are reduced by an amount equal to X. Both annuities have the same present value. Calculate X.Hector will receive 1,500 at the end of each year for 5 years. Jill will receive 1,000 at the end of each year for 10 years. At an annual effective interest rate of i, the present values of the two annuities are equal. Calculate i. a. 2754 O b. .1487 O c. .0718 O d. .9603 O e. 1.1487On January 1, 1988, Felix inherited a perpetuity with annual payments beginning in six months. The first payment was $5,000, and after that the payments increased by 4% each year. Find the value of this perpetuity on January 1, 1995 if the annual effective interest rate was 7% from January 1, 1988 through January 1, 1996 and 6% thereafter. (Round your answer to the nearest cent. ) answer is $389486.63. please show work
- Susan won the lottery today which will pay an annual perpetuity of X, with the first payment occurring five years from today. The perpetuity has a present value of 100,000 based on an annual effective interest rate of 1% for the first ten years and 5% for all years thereafter. Calculate X. A. 4,100 B. 4,224 C. 4,357 D. 4,401 E. 5,696Daniel purchases a perpetuity with varying annual payments made in arrears. During the first 5 years, the payments are constant and equal to 10 per year. Beginning in year 6, the payments start to increase. For year 6 and all subsequent years, the payment in that year is p% larger than the payment in the year immediately preceding that year, where p < 9.2. At an annual effective interest rate of 9.2%, the perpetuity has a present value of 167.50. Calculate p, to 2 decimal places.James plans to receive a monthly annuity of $779 for the next 25 years as part of his inheritance. The interest rate is 10.78 per annum compounded monthly Calculate the present value (PV) of this annuity. $72.26 O$779.00 $867.16 $289.05 O $1.11
- Ryan inherited an annuity worth $3,280.16 from his uncle. The annuity will pay him 5 equal payments of $800 at the end of each year. The annuity fund is offering a return rate ofHerbert purchased a 10-year annuity for $96,000 late in the current year. The annuity will pay him $4,000 per month for ten years starting on September 1 of the current year. How much of the $16,000 received this year will be taxable? O $12,800 O $16,000 O $0 O $3,200A perpetuity paying $3, 000 at the beginning of each two years has the same present value as another perpetuity with level payments, this one having payments at the end of each three years. Express the level payment amount of the second perpetuity, P, as a function of the annual effective interest rate i.
- (1)Strahd bought a 20-year annuity-immediate with payment size 350 at an annual effective rate of 4%. Just after receiving the eighth payment, Strahd’s life forever changed and he sold the remainder of the annuity, reinvesting the proceeds in a level-payment perpetuityimmediate. What is the payment size K of this perpetuity?Mr. Said purchases an ordinary annuity paying 6 % quarterly for 8 years. Find the future value of the annuity if the payment is OMR 2928. 359641.97 119135.31 220203.26 28979.79 59019.35l wishes to provide herself, or her estate, with an income of $10,000 at the end of each year for 10 years. She will make a lump sum deposit when the account is established and add $3000 at the end of each year for 12 years. The income is to start at the end of the year following the year in which the last deposit was made. Compute the lump sum deposit. (All interest rates are 7 Percent Compounded annually)