I just solved this question. Not sure why it has come up again. I am reporducing the solution below.
Please follow the steps sequentially. Answers are highlighted in yellow colored cells. Adjacent cells contain excel formula
Retirement Funds | 220,000 | Excel formula | |
Savings annual rate | 5% | ||
Monthly rate | 0.0041667 | '=P215/12 | |
Term (years) | 35 | ||
Number of periods | 420 | '=12*P217 | |
Part (1) Amount he can withdraw on monthly basis | 1,110 | '=PMT(P216,P218,-P214,0,0) | |
Monthly pension | 1,700 | ||
Total monthly income | 2,810 | '=P219+P221 | |
Monthly expenses | 3,700 | ||
Part (2) | |||
Since monthly income < monthly expenses | |||
The amount determined in part (1) | |||
is insufficient. | |||
Monthly income required | 2,000 | '=P223-P221 | |
How long his retirement savings will last? (Months after retirement) | 147.45 | '=NPER(P216,P229,-P214,0,0) | |
How long his retirement savings will last? (Years after retirement) | 12.29 | '=P230/12 | |
If he reduces monthly expenditure to | 3200 | ||
Monthly income required | 1,500 | '=P233-P221 | |
How long his retirement savings will last? (Months after retirement) | 227.14 | '=NPER(P216,P234,-P214,0,0) | |
How long his retirement savings will last? (Years after retirement) | 18.93 | '=P235/12 | |
Part (3) | |||
Yes he should wait till he turns 65 to obtain his | |||
statement pension. | |||
No, even if he waits till 70, the state pension amount | |||
will not solve the problem. The shortfall is | |||
3700 - 2,810 = 890 > the monthly pension amount | |||
Part (4) | |||
Inflation | 3% | ||
How old he will be | 83.45 | '=60+NPER(P246,0,-1,2,0) | |
Cost of newspaper | 3.52 | '=1.25*(1+P246)^35 |
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