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Answer:
0.4868%
$615.47
Explanation:
Given that
a. EAR = 6%
Thus,
Equivalent monthly rate = (1 + r)^n - 1
Where r = EAR
Therefore
= (1 + 0.06)^1/12 - 1
= 1.0048675 - 1
= 0.0048675 × 100
= 0.4868%
b. Given that
Monthly rate = 0.4868%
Future value = 100,000
Time = 10 years
Recall that
FV annuity formula = C × (1/r) × ([1 + r ]^n - 1)
Where
C = payment
Therefore
100000 = C (1/0.004868) × ([1 + 0.004868]^120 - 1)
C = 100,000/(1/0.004868) × ([1 + 0.004868]^120 - 1)
C = $615.47 per month
Answer:
c. 10.17%
Explanation:
we can use the future value formula:
future value = present value x (1 + r)ⁿ
- future value = $19,600,000
- present value = $8,200,000
- n = 9
$19,600,000 = $8,200,000 x (1 + r)⁹
$19,600,000 / $8,200,000 = (1 + r)⁹
(1 + r)⁹ = 2.390243902
⁹√(1 + r)⁹ = ⁹√2.390243902⁹√
1 + r = 1.101663943
r = 1.101663943 - 1 = 0.101663943 = 10.17%