Solution :
It is given that :
Amount of investment or the principle amount , P = $ 100
Time of investment , t = 6 years
Rate of interest compounded annually r = 6 %
Therefore the future amount of this investment in a 6 year time is given by,
Therefore, after 6 years the investment of $ 100 will give an amount of $ 141.
It is important to understand that the styles describe different aspects of applications. For example, some architectural styles describe deployment patterns, some describe structure and design issues, and others describe communication factors. Therefore, a typical application will usually use a combination of more than one of the styles described in this chapter.
In this problem, we need to find the length of an annuity. We already identified the interest rate, the PV, and the payments.
Using the PVA equation: PVA =C({1 – [1/(1 +r)t]} /r
$18,000 = $750{[1 – (1/1.019) t] / 0.019}
Then solve for t:
1/1.019t= 1 − {[($18,000)/($750)](0.019)}
1/1.019t= 0.544
1.019t= 1/(0.544) = 1.838
t= ln 2.193 / ln 1.019 = 32.34 months or 2.7 in years
Answer:
lifetime annuity with period certain settlement option
Explanation:
Based on the specifications that Tom is looking for, he should consider the lifetime annuity with period certain settlement option. This is an annuity that pays a benefit to the annuitant until death, but with a period certain option, the estate's beneficiary will continue to receive annuity payments until the specified timeframe of the period certain expires. Which would meet the requirements that Tom is looking for.
