Perpetuity
Betty received $ 500,000 from a life insurance policy to be distributed to her as an annuity certain in 10 equal annual installments with the first payment made immediately. On the day she receives her third payment, she is offered a monthly perpetuity of X in lieu of the future annual payments. The first payment will be made in exactly one month. The effective annual rate of interest is 10 %. Determine the value of X.
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Betty received 500,000 dollars from a life insurance policy to be distributed to her as an...
Betty received 500,000 dollars from a life insurance policy to be distributed to her as an annuity in 10 annual level payments with the first payment made immediately. Right after she receives her third payment, she is offered a perpetuity paying X dollars every month in lieu of the future annual payments. The first payment will be made in exactly one month. Determine the value of X assuming an annual effective interest rate of 3%.
please explain the ubderlined step and include the formula used to get there 3. A perpetuity-immediate...
please explain the ubderlined step and include the formula
used to get there
3. A perpetuity-immediate pays 100 per year. Immediately after the fifth payment, the perpetuity is exchanged for a 25-year annuity-immediate that will pay X at the end of the first year. Each subsequent annual payment will be 8% greater than the preceding payment. The annual effective rate of interest is 8%. Calculate X. (A) 54 (B) 64 (C) 74 (D) 84 (E) 94 PV = 100 w...
the possible answers are 16942, 17384, 17434, 17520, 18989 12. Jack inherited a perpetuity-due, with annual...
the possible answers are 16942, 17384, 17434, 17520,
18989
12. Jack inherited a perpetuity-due, with annual payments of 15,000. He immediately exchanged the perpetuity for a 25-year annuity-due having the same present value. The annuity-due has annual payments of X. All the present values are based on an annual effective interest rate of 10% for the first 10 years and 8% thereafter. Calculate X.
A perpetuity-due paying 5 every year has a present value of 90. An annuity-immediate paying 10...
A perpetuity-due paying 5 every year has a present value of 90. An annuity-immediate paying 10 monthly for 5 years has the same effective rate of interest what is the present value of this annuity? Hint: To calculate the monthly annuity, you should find the present value of a 60 payment annuity using the monthly effective rate of interest that is equivalent to to the annual effective rate of interest that you derived from the perpetuity. That is find i...
A perpetuity-due with varying annual payments is available. During the first five years the payment is...
A perpetuity-due with varying annual payments is available. During the first five years the payment is constant and equal to 40. Beginning in year 6, the payments start to increase. For year 6 and all future years the payment in that year is k% larger than the payment in the year immediately preceding that year. (k <6). At an annual effective interest rate of 6.7%, the perpetuity has a present value of 751.50. Calculate k.
QUESTION 6 John receives a perpetuity making payments using the following scheme: The first payment will...
QUESTION 6 John receives a perpetuity making payments using the following scheme: The first payment will be for 2 at the end of the 5" year The remaining payments will occur every three years, following the first payment Each subsequent payment will be X% larger than the previous payment The present value of this perpetuity at an annual effective interest rate of 10% is equal to 25. Calculate X. Give your answer rounded to two decimal places.
Please show the work/formulas. Problem 26.30 | 3.570 At an annual effective interest rate of i,...
Please show the work/formulas.
Problem 26.30 | 3.570 At an annual effective interest rate of i, the present value of a perpetuity- immediate starting with a payment of 200 in the first year and increasing by 50 each year thereafter is 46,530. Calculate i. Problem 27.1 1825.596 A 20 year increasing annuity due pays 100 at the start of year 1, 105 at the start of year 2, 110 at the start of year 3, etc. In other words, each...
Question 5 (6 marks) Sam pays $10,000 now to purchase a special deferred perpetuity-due. The perpetuity-due...
Question 5 (6 marks) Sam pays $10,000 now to purchase a special deferred perpetuity-due. The perpetuity-due has monthly payments. Each payment is $100 for the first five years and then decreases to $50 thereafter. Given that the annual effective interest rate is 5%, calculate the deferral period.
an increasing perpetuity immediate makes annual payments. the first payment is 100 and each subsequent payment...
an increasing perpetuity immediate makes annual payments. the first payment is 100 and each subsequent payment is larger than the preceding payment by an amount X. based on an annual effective interest rate of 10%, the present value of the perpetuity at time 0 is one half of its present value at time 20. what is rhe value of x?
Jen wants to accumulate 400,000 at the end of 16 years. She deposits CX+10,000) into an...
Jen wants to accumulate 400,000 at the end of 16 years. She deposits CX+10,000) into an investment account at the end of each of the first 8 years. She then deposits X into the same account at the end of each of the final 8 years. The interest rate on the account is a 6% nominal rate compounded annually. Find X 7. 8. Keri was offered a choice of two payment options to settle her claims in a car accident...
please explain the ubderlined step and include the formula
used to get there
3. A perpetuity-immediate pays 100 per year. Immediately after the fifth payment, the perpetuity is exchanged for a 25-year annuity-immediate that will pay X at the end of the first year. Each subsequent annual payment will be 8% greater than the preceding payment. The annual effective rate of interest is 8%. Calculate X. (A) 54 (B) 64 (C) 74 (D) 84 (E) 94 PV = 100 w...
the possible answers are 16942, 17384, 17434, 17520,
18989
12. Jack inherited a perpetuity-due, with annual payments of 15,000. He immediately exchanged the perpetuity for a 25-year annuity-due having the same present value. The annuity-due has annual payments of X. All the present values are based on an annual effective interest rate of 10% for the first 10 years and 8% thereafter. Calculate X.
A perpetuity-due with varying annual payments is available. During the first five years the payment is constant and equal to 40. Beginning in year 6, the payments start to increase. For year 6 and all future years the payment in that year is k% larger than the payment in the year immediately preceding that year. (k <6). At an annual effective interest rate of 6.7%, the perpetuity has a present value of 751.50. Calculate k.
QUESTION 6 John receives a perpetuity making payments using the following scheme: The first payment will be for 2 at the end of the 5" year The remaining payments will occur every three years, following the first payment Each subsequent payment will be X% larger than the previous payment The present value of this perpetuity at an annual effective interest rate of 10% is equal to 25. Calculate X. Give your answer rounded to two decimal places.
Please show the work/formulas.
Problem 26.30 | 3.570 At an annual effective interest rate of i, the present value of a perpetuity- immediate starting with a payment of 200 in the first year and increasing by 50 each year thereafter is 46,530. Calculate i. Problem 27.1 1825.596 A 20 year increasing annuity due pays 100 at the start of year 1, 105 at the start of year 2, 110 at the start of year 3, etc. In other words, each...
Question 5 (6 marks) Sam pays $10,000 now to purchase a special deferred perpetuity-due. The perpetuity-due has monthly payments. Each payment is $100 for the first five years and then decreases to $50 thereafter. Given that the annual effective interest rate is 5%, calculate the deferral period.
Jen wants to accumulate 400,000 at the end of 16 years. She deposits CX+10,000) into an investment account at the end of each of the first 8 years. She then deposits X into the same account at the end of each of the final 8 years. The interest rate on the account is a 6% nominal rate compounded annually. Find X 7. 8. Keri was offered a choice of two payment options to settle her claims in a car accident...
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