Chapter 3 Financial Mathematics (Exercises) Future Value Calculations Exercise 1: (answers on page 347) 1) A factory purchases new equipment which costs R5,2 million. It depreciates at a rate of 12,5% per annum on a reducing balance. The replacement cost of the equipment escalates at a rate of 7,5% per annum. A sinking fund is set up to pay for the new machinery in 6 years' time. If the sinking fund earns 9% p.a. compounded monthly, determine: a) The book value of the old equipment in 6 years' time. b) The cost of the new equipment in 6 years' time. C) The value the sinking fund must attain, if the book value of the current equipment is used towards the cost of the new equipment. d) The monthly payments that need to be made into the sinking fund if payments commence one month after the current equipment is purchased and will continue until the new equipment is purchased. The

FINANCIAL ACCOUNTING
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Chapter 3 Financial Mathematics (Exercises) Future Value Calculations Exercise 1: (answers
on page 347) 1) A factory purchases new equipment which costs R5,2 million. It depreciates
at a rate of 12,5% per annum on a reducing balance. The replacement cost of the
equipment escalates at a rate of 7,5% per annum. A sinking fund is set up to pay for the new
machinery in 6 years' time. If the sinking fund earns 9% p.a. compounded monthly,
determine: a) The book value of the old equipment in 6 years' time. b) The cost of the new
equipment in 6 years' time. C) The value the sinking fund must attain, if the book value of
the current equipment is used towards the cost of the new equipment. d) The monthly
payments that need to be made into the sinking fund if payments commence one month
after the current equipment is purchased and will continue until the new equipment is
purchased. The
Transcribed Image Text:Chapter 3 Financial Mathematics (Exercises) Future Value Calculations Exercise 1: (answers on page 347) 1) A factory purchases new equipment which costs R5,2 million. It depreciates at a rate of 12,5% per annum on a reducing balance. The replacement cost of the equipment escalates at a rate of 7,5% per annum. A sinking fund is set up to pay for the new machinery in 6 years' time. If the sinking fund earns 9% p.a. compounded monthly, determine: a) The book value of the old equipment in 6 years' time. b) The cost of the new equipment in 6 years' time. C) The value the sinking fund must attain, if the book value of the current equipment is used towards the cost of the new equipment. d) The monthly payments that need to be made into the sinking fund if payments commence one month after the current equipment is purchased and will continue until the new equipment is purchased. The
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