A company intends to set aside funds to cover for the following future expenses payable during the next 15 years: • £500 payable monthly in arrears for the first 10 years; • £5,000 per year payable quarterly in arrears for the remaining 5 years. The first investment option the company is considering would pay an effective annual interest rate of 4.5% throughout the entire 15-year period. Alternatively, another investment plan that is available pays compound interest at the rates of: • • 3.6% per annum nominal convertible monthly for the first 5 years, and 6% per annum nominal convertible quarterly for the remaining 10 years. Calculate the following: (i) The amount of funds that the company would need to invest at t = 0 under these two options. (ii) The investment option the company should choose, and the corresponding amount of saving at t 0 it would make compared to using the other method. =
A company intends to set aside funds to cover for the following future expenses payable during the next 15 years: • £500 payable monthly in arrears for the first 10 years; • £5,000 per year payable quarterly in arrears for the remaining 5 years. The first investment option the company is considering would pay an effective annual interest rate of 4.5% throughout the entire 15-year period. Alternatively, another investment plan that is available pays compound interest at the rates of: • • 3.6% per annum nominal convertible monthly for the first 5 years, and 6% per annum nominal convertible quarterly for the remaining 10 years. Calculate the following: (i) The amount of funds that the company would need to invest at t = 0 under these two options. (ii) The investment option the company should choose, and the corresponding amount of saving at t 0 it would make compared to using the other method. =
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 16P
Question
Solve it using formulas, no tables
![A company intends to set aside funds to cover for the following future expenses payable
during the next 15 years:
•
£500 payable monthly in arrears for the first 10 years;
•
£5,000 per year payable quarterly in arrears for the remaining 5 years.
The first investment option the company is considering would pay an effective annual
interest rate of 4.5% throughout the entire 15-year period. Alternatively, another investment
plan that is available pays compound interest at the rates of:
•
•
3.6% per annum nominal convertible monthly for the first 5 years, and
6% per annum nominal convertible quarterly for the remaining 10 years.
Calculate the following:
(i) The amount of funds that the company would need to invest at t = 0 under these two
options.
(ii) The investment option the company should choose, and the corresponding amount
of saving at t 0 it would make compared to using the other method.
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F017b5c7e-49c0-46c7-a22b-9336d465c7c9%2Ff2fe1b12-54c1-44f5-93d3-09992ea0817b%2Fvy59q8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A company intends to set aside funds to cover for the following future expenses payable
during the next 15 years:
•
£500 payable monthly in arrears for the first 10 years;
•
£5,000 per year payable quarterly in arrears for the remaining 5 years.
The first investment option the company is considering would pay an effective annual
interest rate of 4.5% throughout the entire 15-year period. Alternatively, another investment
plan that is available pays compound interest at the rates of:
•
•
3.6% per annum nominal convertible monthly for the first 5 years, and
6% per annum nominal convertible quarterly for the remaining 10 years.
Calculate the following:
(i) The amount of funds that the company would need to invest at t = 0 under these two
options.
(ii) The investment option the company should choose, and the corresponding amount
of saving at t 0 it would make compared to using the other method.
=
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