Suppose you invest $210,000 in an annuity that returns 6 annual payments, with the first payment one year from now and each subsequent payment growing by 5%. At an interest rate of 8%, how much is the first annual payment you receive?

$40,510.82

Explanation:

Present value = $210,000

Number of annual payments (n) = 6

Growth rate (g) = 5% or 0.05

Interest rate (r) = 8% or 0.08

Amount of first annual payment = [Present value * (r - g)] / [1 - {(1 + g)/(1 + r)}^n]

Amount of first annual payment = [210,000 * (0.08-0.05)] / [1 - [(1+0.05) / (1+0.08)]^6]

Amount of first annual payment = [210,000*0.03] / [1 - (0.972222)^6]

Amount of first annual payment = 6,300 / [1 - 0.844486]

Amount of first annual payment = 6,300 / 0.155514

Amount of first annual payment = 40510.82217678151

Amount of first annual payment = $40,510.82

So, the amount of the first annual payment you will receive is $40,510.82.

the answer should be a)

the correct answer is economics is a game without winners or losers.

unlike sports or games economic is a game without losers or winner rather it is a game where everyone wins. parties of business doing businesses exchange money with each other and hence exchange is done on the basis of goods. one party takes the goods and other sales it so there is winner on both sides. each party values more highly the good it gets than the good it gives up. both sides exchange only because both intend to increase their value. so there is no concept of lose or win.