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Answer:
The expected profit is -$13,162.
I would not recomend the investor to make this investment.
Explanation:
The expected profit can be calculated multypling the probabilities of every outcome and the profit of each outcome, and substracting the total invevstment.
The outcomes are:
1) probability 0.39 of a $23,000 loss,
2) probability 0.24 of a $8700 profit,
3) probability 0.12 of a $31,000 profit, and
4) probability 0.25 of breaking even
NOTE: It is assumed that the outcomes does not include the initial investment.
Then, the expected profit of this investment is:
![E(P)=[0.39*(-23,000)+0.24*8,700+0.12*31,000+0.25*0]-10,000\\\\E(P)=[-8,970+2,088+3,720+0]-10,000\\\\E(P)=-3,162-10,000\\\\E(P)=-13,162](https://tex.z-dn.net/?f=E%28P%29%3D%5B0.39%2A%28-23%2C000%29%2B0.24%2A8%2C700%2B0.12%2A31%2C000%2B0.25%2A0%5D-10%2C000%5C%5C%5C%5CE%28P%29%3D%5B-8%2C970%2B2%2C088%2B3%2C720%2B0%5D-10%2C000%5C%5C%5C%5CE%28P%29%3D-3%2C162-10%2C000%5C%5C%5C%5CE%28P%29%3D-13%2C162)
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Answer:
$150
Explanation:
Calculation of how much income that Gramps will recognize on the first payment.
Since joint survivor annuity has 23.1 as the annual return multiple .
Calculation for Expected return
Expected return =Annual payment *Return multiple
($500*12) =$6,000
$6,000×23.1
=$138,600
Therefore :
$97,020/$138,600
=0.7×100
=70%
The 70% of each of the payment will be the return of capital while the 30%(100%-70%) will be the income.
Hence the first payment be:
30%×500
=$150
Therefore the amount of income that Gramps will recognize on the first payment will be $150