Answer:
Explanation:
(1)
FV = PV x (1 + r)^N
FV = $75,000
PV = $35,000
r = 8%
75,000 = 35,000 x (1.08)^N
(1.08)N = 2.1429
N ln 1.08 = ln 2.1429
N = ln 2.1429 / ln 1.08 = 0.33 / 0.033 = 10 years
(2)
FV = Annual payment, A x PVA
FV = $43,700
n = 6 years
A = 8,000
43,700 = 8,000 x PVA
PVA = 5.4625
PVIFA (6 years, r%) = 5.4172
r=3%.
(3)
PV = Annual payment, A x PVIFA (r%, n years)
PV = $18,000
n = 6 years
r = 9%
$18,000 = A x PVIFA (9%, 6 years) = A x 4.4859 [From PVIFA table]
A = $18,000 / 4.4859 = $4,012.57