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what is the answer with work shown and formula used? C. A longer term of investm

ID: 2808368 • Letter: W

Question

what is the answer with work shown and formula used?

C. A longer term of investment D. Making annual deposits of $12,000, instead of monthly deposits of $1,000. Making beginning-of-the year annual deposits instead of year-end annual deposits If you deposit $200, on a bi-weekly basis. into a 9.25% account (also compounded bi- weekly), now anuch will the account be worth at the end of 30 years? Q2. S 2842.32 S 28.565.65 C. $150.000.00 D. $231.748.10 E. $840.985.43 Q3. Consider the following statements regarding the foundations of the market system. Which statement is most correct? Under an inc projects with greater risk if they expect to earn lower than asi entive-based system participants are encouraged to undertake

Explanation / Answer

Total deposits in a year’s = 52/2 = 26

In 30 years total deposits = 26* 30 = 780

Interest rate per biweekly = 9.25/ 26 = 0.0035576

Annuity is series of equal cash flows for certain period of time, if periodic cash flow is P, number of period is n, and interest per period is r then future value of cash flow will be

FV of annuity = P [(1 + r)^n - 1]/ r

Let's put the values in the formula,

= 200[(1 + 0.0035576)^780 - 1]/ 0.0035576

= 200[(1.0035576 )^780 - 1]/ 0.0035576

= 200 ( 15.958692002 ) - 1/ 0.0035576

= 200 ( 14.958692002 )/ 0.0035576

= 200 * 4204.714414774

= 840942.88

The correct answer is E.

Pls note that the difference is due to the intermediate round off