An company needs to make the following annuity payments into a  pension fund: £1100 paid at the beginning of each year for the first 5 years and then  £1200 paid at the beginning of each year for the next 9 years and then £720 paid at the beginning of each year for the following 7 years. Calculate the amount of capital accumulated in the fund by the end of the last year, given that the rate of interest during this period is: 5.5% pa effective for the first 10 years and then 6.4% pa effective thereafter. NO tables, only formulas, please

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
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An company needs to make the following annuity payments into a  pension fund:

£1100 paid at the beginning of each year for the first 5 years and then 

£1200 paid at the beginning of each year for the next 9 years and then

£720 paid at the beginning of each year for the following 7 years.

Calculate the amount of capital accumulated in the fund by the end of the last year, given that the rate of interest during this period is:

5.5% pa effective for the first 10 years and then

6.4% pa effective thereafter.

NO tables, only formulas, please

Expert Solution
Step 1: Explanation of the FV of an investment

The FV of an investment refers to the combined worth of the cash flows of the investment at a certain future date assuming that they grow at a fixed rate to that date. It uses the concept of TVM in its calculations and is used by investors to compare potential investments.


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