FIN-250-Q2136-17EW2-Rotier Samantha Kopecky 12/10/17 11:09 AM Homework: 6-3 MyFi

Question

FIN-250-Q2136-17EW2-Rotier Samantha Kopecky 12/10/17 11:09 AM Homework: 6-3 MyFinancel.ab: Assignment: Module Six Homew Save Score: 0 of 1 pt 3 of 7 (2 complete) HW Score: 16.43%, 1.15 of 7 pts Problem 15-8 (similar to) Question Help := Peter and Blair recently reviewed their future retirement income and expense projections. They hope to retire in 33 years and anticipate they will need funding for an additional 22 years. They determined that they would have a retirement income of $69,000 in today's dollars, but they would actually need $95,835 in retirement income to meet all of their objectives. Calculate the total amount that Peter and Blair must save if they wish to completely fund their income shortfall, assuming a 4 percent inflation rate Click on the table icon to view the FVIF table EEB. Click on the table icon to view the PVIFA tableEEE and a return of 6 percent. The total amount that Peter and Blair must save if they wish to completely fund their income shortfall, assuming a 4 percent inflation rate and a return of 6 percent is S. (Round to the nearest cent.) Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer

Explanation / Answer

Real Shortfall during retirement=95835-69000=26835
Real return=1.06/1.04-1=1.9230769%
Present Value after 33 years=PV(1.9230769%,22,26835)=477701.74
Future Value of annual contributions after 33 years must equal 477701.74
Hence, PV(1.9230769%,33,0,477701.74)=254778.91
So, 254778.91 must be saved now to fund income shortfall

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