You want to buy a yacht in 4 years and have negotiated a sale price of $300,000. You must save up to get a 40% down payment of $120,000. If your investment account currently pays 12% interest annually, how much will you have to put into the account MONTHLY to reach your goal in four years? Reference the below formulas when solving the problem above: PV = FV / (1+r)^t FV = PV(1+r)^t FVA = PMT(((1+r)^t) -1) / r FVA = PMT((1+(r/12)^t(12))-1)/(r/12) PVA = PMT(((1-(1+r)^-t) / r)) PVA = PMT((1-(1+(r/12))^-t(12)))/(r/12)

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 16P
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You want to buy a yacht in 4 years and have negotiated a sale price of
$300,000. You must save up to get a 40% down payment of $120,000. If
your investment account currently pays 12% interest annually, how much
will you have to put into the account MONTHLY to reach your goal in four
years?
Reference the below formulas when solving the problem above:
PV = FV / (1+r)^t
FV = PV(1+r)^t
FVA = PMT(((1+r)^t) -1) / r
FVA = PMT((1+(r/12)^t(12))-1)/(r/12)
PVA = PMT(((1-(1+r)^-t) / r))
PVA = PMT((1-(1+(r/12))^-t(12)))/(r/12)
Transcribed Image Text:You want to buy a yacht in 4 years and have negotiated a sale price of $300,000. You must save up to get a 40% down payment of $120,000. If your investment account currently pays 12% interest annually, how much will you have to put into the account MONTHLY to reach your goal in four years? Reference the below formulas when solving the problem above: PV = FV / (1+r)^t FV = PV(1+r)^t FVA = PMT(((1+r)^t) -1) / r FVA = PMT((1+(r/12)^t(12))-1)/(r/12) PVA = PMT(((1-(1+r)^-t) / r)) PVA = PMT((1-(1+(r/12))^-t(12)))/(r/12)
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