Twenty years from now, you hope to have $175,000 to buy a parcel of land. how much must you deposit as a lump sum today to achieve this goal at an interest rate of 6.6 percent, compounded annually?



Answer :

The sum you must deposit as a lump sum today to achieve this goal at an interest rate of 6.6 percent, compounded annually is $48,740.946.

What is lump sum payment?

A lump-sum payment is a payment made all at once, even though opposed to payments made in installments.

  1. A lump-sum payment is just not appropriate per each beneficiary; for some, the funds may be better annuitized as regular payments.
  2. An annuity may have a greater net present value (NPV) than another a lump sum depending on interest rates, tax impact, and penalties.

Now, according to question;

The formula for present value is;

Present Value = Future Value/(1 + interest Rate)^t

T = time period

The future value is $175,000.

The rate of interest is 6.6% compounded annually.

The number of years are 20.

Substituting all the values in the formula;

Present Value = 175,000/(1 + 0.066)^20

Present Value = $48,740.946

Therefore, the present value is found to be $48,740.946.

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