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1) You want to buy a boat in 20 years. It costs $15,000 now al a boat in 20 years. It costs $15,000 now and the cost will rou
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Answer #1

first we need to find value of the boat after 20 years

A= P(1+r)

P=15000

t=20 years

r=3% per year

A = 15000 (1 + 0.03 20

A = 15000 (1.03)

A= 15000 1.80611

A= 27091.66852

.

.

the money sit for 10 years

A = A1 (1+r)

A=27091.66852

r = 2% = 0.02

t=10 years

27091.66852 = 41(1+0.02)

27091.66852 = 41(1.02)10

27091.66852 = 41.1.21899

A1 = 27091.66852 1.21899

A1 = 22224.60421

so we needed to arrange 22224.60421 in 10 years

[(1+r) - 1 A1 = PMT

A1 = 22224.60421

PMT=?

r=2% = 0.02

t= 10 years

22224.68479 = PMT (1 +0.02) 0 - 1 0.02

22224.68479 = PMT (1.02) 0 - 1 0.02

22224.68479 (0.02) = PMT (1.02)10 – 1

444.4936 = PMT (1.02)0 – 1]

444.4936 = PMT 1.21899 – 1

444.4936 = PMT 0.21899

444.4936 0.21899 = PMT

PMT = 444.4936 0.21899

PMT = 2029.70329..................value of the each deposit

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