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2022.05.08

2022.05.08

2022.05.08

2022.05.08

2022.05.08

2022.05.08

3-1. () (1) (2) (3) (4)

3 1,000,000(1+0.1)5 = 1,000,0001.6105 = 1,610,500 1,000,000(1+0.1/12)312 = 1,000,0001.3466= 1,346,600 2,000,000(1+0.12/2)102 = 2,000,0003.2071 = 6,414,200 10,000,000(1+0.12/4)44 = 10,000,0001.6047=16,047,000

5 = 3 = 10 = 4 =

3-2. ( ) (1) = 10,000,000(1+0.1)5= 10,000,000(0.1, 5) = 10,000,0001.6105=16,105,000 (2) = 89,000,000(1+0.01)24=89,000,000(0.01, 5) = 89,000,0001.2697 = 113,003,300 (3) = 105,000,000(0.05, 54) = 105,000,0002.6533= 278,596,500 3-3. ( ) (1) = 5,000,000(0.01, 50) = 5,000,000 = 5,000,00064.4632=322,316,000

(2) = 50,000,000(0.14, 10) = 50,000,000 = 50,000,00019.3373=966,865,000

(3) = 9,000,000(0.04, 40) = 9,000,000 = 9,000,000 95.0255= 855,229,500

3-4. ( ) (1) = 20,000,000(0.1, 5) = 20,000,0000.6209 = 12,418,000 (2) = 80,000,000(0.01, 24) = 80,000,0000.7876 = 63,008,000 (3) = 100,000,000(0.05, 20) = 100,000,0000.3769 = 37,690,000 3-5. ( ) (1) = 5,000,000(0.01, 50)

0.9901) = 5,000,000 1 - (0.01 ( = 5,000,00039.1961=195,980,50050

)

(2) = 50,000,000(0.12, 10) 0.8929) = 50,000,000 1 - (0.12 ( = 50,000,0005.6502=282,510,00010 40

=0.8929)

(3) = 9,000,000(0.04, 40) 0.9615) 1 = 9,000,000 1 - (0.04 ( 1.04 =0.9615) = 9,000,00019.7928=178,135,200 3-6. ( ) . = (0.01, 36) = ( 1.01) - 1 = 3,000,000 0.01 43.0769 = 3,000,000 = = 69,643 36

69,643 3 . 3-7. ( ) . . = $40,000(0.07, 20) 0.9346) 1 = 40,000 1 - (0.07 ( 1.07 = 0.9346) = 40,000 10.594 = $ 423,76020

$423,760 $600,000 . 3-8. (, ) (1) 14% 10 1,000,000 . = 1,000,000(0.14, 10)

= 1,000,000(1.14)10=1,000,0003.7072= 3,707,200 , 3,707,200 . (2) , 2 3,707,200 . (0.01, 24) = 3,707,200 0.9901) 1 -( 0.01 = 3,707,200 (v= 21.2434 = 3,707,200 = 174,51124

1 1.01

=0.9901)

2 174,511 3,707,200 . 3-9. ( ) , . () 30 . , 30 10 1 . , 30 = 30 0 1 A 2 A

30 A

31 1

40 1 1

32

.

, 30 30 . 30 = A ( 1.08) - 1 = (0.08, 30)=113.2832 0.0830

(1)

, 10 30 . 30 0.9434) 1 = 1 1 - (0.06 (v= 1.06 =0.9434)10

= 1(0.06, 10)=17.3601=736,010,000 (1) (2) .

(2)

113.2832 = 736,010,000 =

= 6,497,080

30 6,497,080 10 . 3-10. ( )35 36 37 60

61

62

70 1400

1400

(1) 61 70 10 60 . 9% : 60 = 14,000,000 (0.09, 10) 0.9174) 1 = 14,000,000 1 - (0.09 ( 1.09 =0.9174) = 14,000,000 6.4177= 89,847,80010

61 10 , 60 89,847,800 . 8% : 60 = 14,000,000 (0.08, 10) 0.9259) = 14,000,000 1 - (0.08 ( = 14,000,000 6.7101= 93,941,40010

1 1.08

=0.9259)

8% 93,941,400

. (2) 60 90,000,000 . 10 . 9% : = 89,847,800 < = 90,000,000 8% : = 93,941,400 > = 90,000,000 , 60 10 10 , . 3-11. ()

ln ln

ln ln

()

3-12. () = =2A ln ln ln ln 1=6 () =

3-13.( ) ( )

( ) ln () ln

3-14. ( ) (1) , n = 10 10

() (2) , n = 120 10 ()

(3) 5 , . 5 : , 5 n=5

5 , 5 : , n = 60 5

5 = 5 5

()

3-15. ( ) , 10 2,009 12 31 . 2,009 12 31 = 15.9374

, 20 10 2,009 12 31 . 2,009 12 31

= 851,360

15.9374 x = 851,360 x = 53,419 x 53,419. 3-16. ( ) V0 V20 V40

0

1

2

19

20 500

21 500 20

39 500

40

(V19)

19

=6,295()

()

(1) (= )

62,950,000 0.4044=25,456,980 =62,950,000 ()=17,127,705

(2) 40 (= )

3-17. ( : )

00 90 90 91 92 . 99 01 02 . 09

1,000 1,000 1,000 . 1,000 10 (r=10%) x x x . x 10 (r=20%)

1,000 10 1999 1231 (=2000 11 ) 10% 1999 1231 10 2000 11 20% x 10 2000 11

3-18. ()

= 0.1254

3-19. ( ) ; =

%. 17.2737% (1.4395% 12 = 17.2737%). (solver) ; -1 : MS office Excel sheet .MS office Excel

: B3 , B2, B1 . ( 2% ) . - 2 ; MS office Excel

- 3

; ( )

- 4; , , : B3 40 40 . 40 B1 .

- 5; ( ) 3-20. ( )

=0.015131 .

0.01513112=0.181572 18.16% .MS office Excel

;

.

-1

: MS office Excel sheet

: B3 , B2, B1 . ( 2% ) .

- 2

; MS office Excel

- 3

; ( )

- 4; , ,

: B3 20 20 . 20 B1 .

- 5;

3-21. ( ) (1) (15) = 100/1000=0.1, (15) = % (2) EAR = EAR =

%m;

3-22.() 1 5 + 1 5000 + 2 5000 = 1 5 + 5000 + 5000 =1 5 + 5000 0.9434 + 5000 0.8900 = 1 5 + 47,170,000 + 44,500,000 = 241,670,000

3-23.( ) ) = 5,000,000

= 5,000,000 10.5940 = 52,970,000