Business: Assume that you are 30 years old today, and that you are planning on retirement at age 65. You expect your salary to be $42,000 one year from now and you also expect your salary to increase at a rate of 5% per year as long as you work. To save for your retirement, you plan on making annual contributions to a retirement account. Your first contribution will be made on your 31st birthday and will be 8% of this year s salary. Likewise, you expect to deposit 8% of your salary each year until you reach

Assume that you are 30 years old today, and that

Ответ:

kennieharris726

03.02.2022

Business

The answer to this question can be defined as follows:

In point a, answer is "$61,303".

In point b, answer is " $7,681,257.74".

In point c, answer is "$12,635".

Explanation:

Given value:

In point a:

Year 1 = 0.08(42,000)

= $3,360

Time = 30 years

Rate Of Growth = 5%

Rate Of Interest = 9%

Formula:

Present Value $= \frac{P}{(r - g)}[1 - (\frac{(1 + g)}{(1 + r)})^n] \\$

$=\frac{3,360}{(0.09 - 0.05)}[1 - (\frac{1.05}{1.09})^{35}]\\\\$

$=\frac{3,360}{(0.04)}[1 - (0.270207895)]\\\\=\frac{3,360}{(0.04)}[ 0.729792105]\\\\=\frac{2452.10147}{(0.04)}\\\\= 61,302.5368 \\\\ = \bold{61,303}$

In point b:

$PV= [ \frac{P}{(r-g)}] \times [1-[\frac{(1+g)}{(1+r)}]^{n}]$

$= [ \frac{1,040,000}{(11 \%-6\% )}] \times [1-[\frac{(1+6 \% )}{(1+11 \%)}]^{10}] \\\\= [ \frac{1,040,000}{(5 \%)}] \times [1-[\frac{1.06}{(1.11)}]^{10}] \\\\= [ \frac{1,040,000}{(5 \%)}] \times [1-[(0.954954955)]^{10}] \\\\= [ \frac{1,040,000}{(5 \%)}] \times [1- 0.630708763] \\\\= [ \frac{1,040,000}{(5 \%)}] \times 0.369291237\\\\= [ \frac{1,040,000}{(5 \%)}] \times 0.369291237\\\\= 20800000 \times 0.369291237 \\\\= 7,681,257.74$

In point c:

$PV= \frac{PMT \times (1- \frac{1}{1+r^n})}{r}\\$

$= \frac{1200 \times 1- (\frac{1}{1.08^{24}})}{0.08}\\\\= \frac{1200 \times 1- (0.157699337)}{0.08}\\\\= \frac{1200 \times 0.842300663}{0.08}\\\\= \frac{1010.7608}{0.08}\\\\=12634.51\\\\= \bold{12635}$

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Ответ:

electrofy456

15.04.2020

Business

Carter left matters uncertain because he didn't clearly answer his questions and he failed to provide context to rebut against Reagan. However Reagan supported all of his arguments with clear information.

Explanation: Carter left matters uncertain because he didn't clearly answer his questions and he failed to provide context to rebut against Reagan. However Reagan supported all of his arguments with clear information.

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