Mr Jones is to receive a deferred annuity of £2500 which starts at the end of the third year from now and continues for a period of 12 years from its start. Calculate the present value of this deferred annuity on the basis of a discount rate of 7% per annum. Show all your working.

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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(c)
(d)
Mr Jones is to receive a deferred annuity of £2500 which starts at the end of
the third year from now and continues for a period of 12 years from its start.
Calculate the present value of this deferred annuity on the basis of a discount
rate of 7% per annum. Show all your working.
The probability that a life aged x will survive at least t further years is denoted
by tpx. The future lifetime of a life aged x, denoted by Tx, has expectation
E(Tx). Suppose that for a population of individuals tpx is given by
(i)
(ii)
tpx
-(1-
1/5
t
for 0≤t≤125-x.
125-x
Calculate the life expectancy E(Tx) for a person aged 55 from this
population.
Work out the force of mortality at age 90 for an individual aged 55.
Transcribed Image Text:(c) (d) Mr Jones is to receive a deferred annuity of £2500 which starts at the end of the third year from now and continues for a period of 12 years from its start. Calculate the present value of this deferred annuity on the basis of a discount rate of 7% per annum. Show all your working. The probability that a life aged x will survive at least t further years is denoted by tpx. The future lifetime of a life aged x, denoted by Tx, has expectation E(Tx). Suppose that for a population of individuals tpx is given by (i) (ii) tpx -(1- 1/5 t for 0≤t≤125-x. 125-x Calculate the life expectancy E(Tx) for a person aged 55 from this population. Work out the force of mortality at age 90 for an individual aged 55.
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