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Answer:</h3>
<h3>
Explanation:</h3>
The formula for calculating the Monthly payments P for the sinking fund is as follows:

where,
P = Monthly payments to be made
A = Total amount to be accumulated
i = Interest rate for given time period
n = Number of time period
Assuming interest is applied at the beginning of each period.
We are given two scenarios.
<h3><u>
Scenario (i) - Deposit is made during the year:</u></h3>
In this scenario, as some of the year is already passed (assume 6 months), to complete the time period of 3.5 years the interest will compound 3 times (as the 0.5 year payments can be adjusted in the remaining part of the first year and no interest is applied on it). Hence, the interest will be applied 3 times.

<h3><u>
Scenario (ii) - Deposit is made at the beginning of the year:</u></h3>
For this case, the interest will be applied 4 times to complete the time period of 3.5 years for payment.

Answer:
diversify
Explanation:
A mutual fund refers to the professionally managed investment group that funnels money for the acquisition of financial instruments from several investors.
Relative to direct investment in individual financial instruments, mutual funds have pros and cons. The main benefits of mutual funds are providing efficiencies, a better level of diversification, providing liquidity, and being proceeded by institutional investors. On the down side, the creditors will pay different costs and expenses in such a mutual fund.
Mutual funds ' main types comprise open-ended securities, investment vehicles with groups, and closed-end assets. Exchange-traded funds (ETFs) are open-end securities or funds with investment groups listed on markets. Many close-ended securities often mimic exchange-traded funds, as they can be exchanged on stock markets in order to enhance liquidity.
Answer:
The present value of the total amount that Brooke needs to have saved at the beginning of her son's first year of college is 31.959,13
Explanation:
Tuition Fees after inflation at
Year 18 = 15000* ( 1+6.5%)18 = 46599.8157
Year 19 = 15000* ( 1+6.5%)19 = 49628.8037
Year 20 = 15000* ( 1+6.5%)20 = 52854.6759
Year 21 = 15000* ( 1+6.5%)21 = 56290.2299
Since discount rate = 10%
So discount factor = 1+r = 1+10% = 1.1
Since fees are paid at beginning of period hence
Present Value of Fees = Fees (year 18)/1.1^18 +Fees at Year 19/1.1^19 +Fees at Year 20/1.1^20 + Fees at year 21/1.1^21 = 46599.8157/1.1^18 + 49628.8037/1.1^19 + 52854.6759/1,1^20 + 56290.2299^21 = 31959.13