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mathod.com Course Home ACCT-2302-86036 Homework: Chapter 26 Homework Score: 0 of

ID: 2519621 • Letter: M

Question

mathod.com Course Home ACCT-2302-86036 Homework: Chapter 26 Homework Score: 0 of 1 pt 1 of 3 (1 complete) E26-23 (similar to) Congratulations! You have won a state lotery. The state lottery offers you the following (after-tax) payout options E(Click the icon to view the payout options.) (Cilick the ioon to view Present Valiue of $1 table) Click the loon to view Present Value of Ordinary Annuity of $1 table.) (cick te oon to view Fune Value of S1 table) ¡Click the icon to viow Future VakadOrdinary Annuity of S t table) Assuming you can earn 12% on your funds, which option would you prefer? The present value of the payout is: (Round your answers to the nearest whole dollar) Option #1: Data Table Option #1 $14,000,00 after five years Option #2: $2,100,000 per year for five years Opsion 3: $13,000,000 after three yoars Print Done Erter ay rumber in the edit fields and then click Check Answer 3 Pamarn Clear All esc 3 4 6

Explanation / Answer

present value of option -1

Future value/(1+r)^n    Fv = 14000000 r = 12%   n = 5

14000000/(1.12)^5

7943976

present value of option -2

year

cash flow

present value of cash flow = cash flow/(1+r)^n r= 12%

1

2100000

1875000

2

2100000

1674107

3

2100000

1494739

4

2100000

1334588

5

2100000

1191596

present value of option -2

7570030

present value of option-3

Future value/(1+r)^n   Fv = 13000000 r= 12% n = 3

13000000/(1.12)^3

9253143

Option-3 is the better one as it results in maximum present value

present value of option -1

Future value/(1+r)^n    Fv = 14000000 r = 12%   n = 5

14000000/(1.12)^5

7943976

present value of option -2

year

cash flow

present value of cash flow = cash flow/(1+r)^n r= 12%

1

2100000

1875000

2

2100000

1674107

3

2100000

1494739

4

2100000

1334588

5

2100000

1191596

present value of option -2

7570030

present value of option-3

Future value/(1+r)^n   Fv = 13000000 r= 12% n = 3

13000000/(1.12)^3

9253143

Option-3 is the better one as it results in maximum present value