Solve it Using formulas, no tables i) PO= PV(10%)= £225,513.6 ii) i'≈0.0558 --> NPV(5%)= 2,896.867 and NPV(6%) = -3,171.878 i'≈ 5.4773 Pa --> i'= 5.5% An investor who is liable to 20% income tax is considering buying 1,000 shares of Goldmines PLC that pays annual dividends. The current dividend is £15 per share and has just been paid. Dividends are expected to grow on a compound basis by 7% per annum in each of the next 3 years, but only at 4% per annum in perpetuity thereafter. (i) (!!) Calculate the present value of the dividend stream described above, at a rate of interest of 10% per annum effective, for the investor. The investor decides to buy the 1,000 shares for the price found in part (i). She holds them for the first three years and receives the dividends payable. She then sells all of her holdings for £230,000 immediately after the third dividend is paid. Assuming dividends grow as expected, calculate the investor's real rate of return to the nearest 0.1%, given the following values of the inflation index over the period: Time t (years) t=0 t = 1 Inflation index: 110.0 112.3 t = 2 t=3 113.2 113.8
Solve it Using formulas, no tables i) PO= PV(10%)= £225,513.6 ii) i'≈0.0558 --> NPV(5%)= 2,896.867 and NPV(6%) = -3,171.878 i'≈ 5.4773 Pa --> i'= 5.5% An investor who is liable to 20% income tax is considering buying 1,000 shares of Goldmines PLC that pays annual dividends. The current dividend is £15 per share and has just been paid. Dividends are expected to grow on a compound basis by 7% per annum in each of the next 3 years, but only at 4% per annum in perpetuity thereafter. (i) (!!) Calculate the present value of the dividend stream described above, at a rate of interest of 10% per annum effective, for the investor. The investor decides to buy the 1,000 shares for the price found in part (i). She holds them for the first three years and receives the dividends payable. She then sells all of her holdings for £230,000 immediately after the third dividend is paid. Assuming dividends grow as expected, calculate the investor's real rate of return to the nearest 0.1%, given the following values of the inflation index over the period: Time t (years) t=0 t = 1 Inflation index: 110.0 112.3 t = 2 t=3 113.2 113.8
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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Transcribed Image Text:Solve it Using formulas, no tables
i) PO= PV(10%)= £225,513.6
ii) i'≈0.0558 --> NPV(5%)= 2,896.867 and NPV(6%) = -3,171.878
i'≈ 5.4773 Pa --> i'= 5.5%
An investor who is liable to 20% income tax is considering buying 1,000 shares of Goldmines PLC
that pays annual dividends. The current dividend is £15 per share and has just been paid.
Dividends are expected to grow on a compound basis by 7% per annum in each of the next 3
years, but only at 4% per annum in perpetuity thereafter.
(i)
(!!)
Calculate the present value of the dividend stream described above, at a rate of interest of
10% per annum effective, for the investor.
The investor decides to buy the 1,000 shares for the price found in part (i). She holds them
for the first three years and receives the dividends payable. She then sells all of her holdings
for £230,000 immediately after the third dividend is paid.
Assuming dividends grow as expected, calculate the investor's real rate of return to the
nearest 0.1%, given the following values of the inflation index over the period:
Time t (years) t=0
t = 1
Inflation index:
110.0
112.3
t = 2
t=3
113.2
113.8
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