Questions with Verified Answers & Detailed
Rationales| 100% Correct |Already Graded A+
Question:
If Tom and Jenny want to save a fixed amount annually to accumulate $2
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million by their retirement date in 25 years (rather than an amount that
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grows with inflation each year), what level annual end-of-year savings
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amount will they need to deposit each year, assuming their savings earn
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7% annually??i,-
Answer:
Set your calculator to the "End" mode and "1 P/Yr." Inputs: FV = 2000000,
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I/YR = 7, N = 25, PV = 0, then PMT = $31,621
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1-4
Question:
Bill and Lisa Hahn have determined that they will need a monthly income
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of $6,000 during retirement. They expect to receive Social Security
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retirement benefits amounting to $3,500 per month at the beginning of
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each month. Over the 12 remaining years of their preretirement period,
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they expect to generate an average annual after-tax investment return of
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8%; during their 25-year retirement period, they want to assume a 6%
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,annual after-tax investment return compounded monthly. They want to
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start their monthly retirement withdrawals on the first day they retire.
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What is the lump sum needed at the beginning of retirement to fund this
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income stream?? i,-
Answer:
The monthly retirement income need is not specified as "today's dollars,"
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and no inflation rate specified; therefore, it must be assumed that the
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$2,500 net monthly income need represents retirement dollars, and the
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retirement period income stream is level. To calculate the lump sum
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needed at the beginning of retirement, discount the stream of monthly
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income payments at the investment return rate:
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10BII+ PVAD calculation: i,- i,-
Set calculator on BEG and 12 periods per year, then input the following:
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2,500 [PMT] i,-
25 [SHIFT] [N]
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6 [I/YR]
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0 [FV]
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Solve for PV = $389,957 i,- i,- i,- i,-
LO 1-4 i,-
Question:
Chris and Eve Bronson have analyzed their current living expenses and
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estimated their retirement income need, net of expected Social Security
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,benefits, to be $90,000 in today's dollars. They are confident that they can
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earn a 7% after-tax return on their investments, and they expect inflation
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to average 4% over the long term.
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Determine the lump sum amount the Bronsons will need at the beginning
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of retirement to fund their retirement income needs, using the worksheet
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below.
(1) Adjust income deficit for inflation over the preretirement period:$
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90,000present value of retirement income deficit25number of periods i,- i,- i,- i,- i,- i,- i,- i,-
until retirement4%% inflation rateFuture value of income deficit in first
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retirement year$239,925 i,-
(2) Determine retirement fund needed to meet income
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deficit:$239,925payment (future value of income deficit in first retirement i,- i,- i,- i,- i,- i,- i,- i,- i,-
year)30number of periods in retirement i,- i,- i,- i,-
The lump sum needed at the beginning of the?
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Answer:
This PVAD calculation requires that the calculator be set for beginning-of-
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period payments. First, the annual retirement income deficit is expressed
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in retirement-year-one dollars, resulting in a $239,925 income deficit in
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the first retirement year. This income deficit grows with inflation over the
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30-year retirement period, and the retirement fund earns a 7% return.
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The calculator inputs are
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$239,925, [PMT]; i,- i,-
30, [N]; i,- i,-
, 2.8846, [I/YR]. (1.07/1.04)-1 x100i,- i,- i,- i,-
Solve for [PV], i,- i,- i,-
to determine the retirement fund that will generate this income stream. If
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you enter 2.8846 directly into the calculator, you will get $4,911,265. If you
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use the equation to compute I/YR, and then hit the I/YR button you will
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get $4,911,256. Either way the answer is clear. The difference is that when
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you calculate the I/YR, the calculator takes the interest rate out to nine
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decimal places. If you enter in the 2.8846, then the calculator only takes
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the interest rate to four decimal places.
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LO 1-4 i,-
Question:
Assume a client and investment professional have worked together for
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several years. Recently, the client's personal and financial circumstances
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have changed. According to the course materials, what is the next asset
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management step that the investment professional should take? i,- i,- i,- i,- i,- i,- i,- i,-
A)
gather data i,-
B)
analyze information i,-
C)
make and implement recommendations
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D)