Answer:
- <u><em>Option B. $1,025 a month for 10 years.</em></u>
Explanation:
Calculate the present value of each option:
![\text{Monthly rate: } 6.8\%/12 = 0.068/12 = 0.005\overline 6](https://tex.z-dn.net/?f=%5Ctext%7BMonthly%20rate%3A%20%7D%206.8%5C%25%2F12%20%3D%200.068%2F12%20%3D%200.005%5Coverline%206)
Formula:
![PV=C\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]](https://tex.z-dn.net/?f=PV%3DC%5Ctimes%20%5Cbigg%5B%5Cdfrac%7B1%7D%7Br%7D-%5Cdfrac%7B1%7D%7Br%281%2Br%29%5Et%7D%5Cbigg%5D)
Where:
- PV is the present value of the constant monthly payments
- r is the monthly rate
- t is the number of moths
<u>1. Option A will provide $1,500 a month for 6 years. </u>
![PV=$\ 1,500\times \bigg[\dfrac{1}{(0.005\overline 6}-\dfrac{1}{0.005\overline 6(1+0.005\overline 6)^{(6\times12)}}\bigg]](https://tex.z-dn.net/?f=PV%3D%24%5C%201%2C500%5Ctimes%20%5Cbigg%5B%5Cdfrac%7B1%7D%7B%280.005%5Coverline%206%7D-%5Cdfrac%7B1%7D%7B0.005%5Coverline%206%281%2B0.005%5Coverline%206%29%5E%7B%286%5Ctimes12%29%7D%7D%5Cbigg%5D)
![PV=\$ 88,479.23](https://tex.z-dn.net/?f=PV%3D%5C%24%2088%2C479.23)
<u>2. Option B will pay $1,025 a month for 10 years. </u>
![PV=$\ 1,025\times \bigg[\dfrac{1}{(0.005\overline 6}-\dfrac{1}{0.005\overline 6(1+0.005\overline 6)^{(10\times12)}}\bigg]](https://tex.z-dn.net/?f=PV%3D%24%5C%201%2C025%5Ctimes%20%5Cbigg%5B%5Cdfrac%7B1%7D%7B%280.005%5Coverline%206%7D-%5Cdfrac%7B1%7D%7B0.005%5Coverline%206%281%2B0.005%5Coverline%206%29%5E%7B%2810%5Ctimes12%29%7D%7D%5Cbigg%5D)
![PV=\$ 89,068.22](https://tex.z-dn.net/?f=PV%3D%5C%24%2089%2C068.22)
<u>3. Option C offers $85,000 as a lump sum payment today. </u>
<u></u>
<h2 /><h2> Conclusion:</h2>
The present value of the<em> option B, $1,025 a month for 10 years</em>, has a the greatest present value, thus since he is only concerned with the <em>financial aspects of the offier</em>, this is the one he should select.
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<h2>
![\boxed{Explained\:Answer}](https://tex.z-dn.net/?f=%5Cboxed%7BExplained%5C%3AAnswer%7D)
</h2>
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