Question

For tax reasons, your client wishes to purchase an annuity that pays $100,000 each year for 6 years, with the first payment in one year. At an interest rate of 7% and focusing on time value of money without consideration of any fees, how much would the client need to invest now

Answer 1

the amount that should be invested now is $476,654

Step-by-step explanation:

The computation of the amount that should be invested now is shown below:

= Payment made each year × (1 - (1 + rate of interest)^-number of years) ÷ rate of interest

= $100,000 × [1 - (1 + 7%)^-6] ÷ 7%

= $476,654

hence, the amount that should be invested now is $476,654