Diferred Annuity (Test 2)​

Diferred Annuity Test 2 class=

Sagot :

1. A = P(1+rt)

10000 = 8000(2.5)(t)

10000 = 20000t

20000t = 10000

t = 0.5

2. A = P(1+rt)

100000 = 10000(1+5(r))

100000 = 10000(6r)

100000 = 60000r

60000r = 100000

r = 1.6%

3. A = P(1+r/n)^nt

= 16000(1+0.08/2)^(2(3))

= 16000(1+0.04)^(6)

= 16000(1.04)^(6)

= P20245.10

4. 20000 = 10000(1+r/4)^(4(10))

r = 0.06 or 6%

5. A = P(1+r/n)^nt

= 100000(1+0.064/2)^(2(4))

= 100000(1+0.032)^(8)

= 100000(1.28658)

= P128658

A = P(1+r/n)^nt

= 100000(1+0.06/2)^(12(4))

= 100000(1+0.03)^(48)

= P413225.18

Angel should choose Investment B

6. F = P([1+i]^n-1)/i

1000000 = P([1+0.04]^(2(15))-1)/0.04

P = P17830.09

7. F = P([1+i]^n-1)/i

= 15200([1+0.12]^(12)-1/0.12

= 366823.62

= 300000+366823.62

= P666823.62

8. A = P(1+r/n)^nt

35000 = P(1+0.06/12)^(12(3))

P = P35166.45

P166.45 interest

9. A = P(1+r/n)^nt

= 5000(1+0.06/3)^(3(6))

= 5000(1+0.02)^18

= P7141.23

10. F = P([1+i]^n-1)/i

= 20000([1+0.1]^12-1/0.1

= 427685.67

= 400000 + 427685.67

= P827685.67