An investment generates earnings over a 20-year period that is received continuously at annual rates of £500e-0.02t during the first 15 years and £250e0.16t during the remaining 5 years. (i) Calculate the present value of the earnings assuming an annual force of interest of 6%.

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An investment generates earnings over a 20-year period that is received continuously at
annual rates of £500e-0.02t during the first 15 years and £250e0.16t during the remaining 5
years.
(i) Calculate the present value of the earnings assuming an annual force of interest
of 6%.
(ii) Hence, calculate the accumulated value of the earnings at the end of 20 years.
Transcribed Image Text:An investment generates earnings over a 20-year period that is received continuously at annual rates of £500e-0.02t during the first 15 years and £250e0.16t during the remaining 5 years. (i) Calculate the present value of the earnings assuming an annual force of interest of 6%. (ii) Hence, calculate the accumulated value of the earnings at the end of 20 years.
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