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# Time Value of Money

The Stein family wants to buy a small vacation house in a year and a half. They expect it to cost \$75000 at that time. They have the following sources of money.

1. They have \$10000 currently in a bank account that pays 6% compounded monthly.
2. Uncle Murray has promised to give them \$1000 a month for 18months starting today.
3. At the time of purchase, they'll take out a mortgage. They anticipate being able to make payments of about \$300 a month on a 15-year, 12% loan.

In addition, they plan to make quarterly deposits to an investment account to cover any shortfall in the amount required. How much must those additions be if the investment account pays 8% compounded quarterly?

#### Solution Preview

Time value of money
The Stein family wants to buy a small vacation house in a year and a half. They expect it to cost \$75000 at that time. They have the following sources of money.

1. They have \$10000 currently in a bank account that pays 6% compounded monthly.
2. Uncle Murray has promised to give them \$1000 a month for 18months starting today.
3. At the time of purchase, they'll take out a mortgage. They anticipate being able to make payments of about \$300 a month on a 15-year, 12% loan.

In addition, they plan to make quarterly deposits to an ...

#### Solution Summary

This solution is comprised of a detailed explanation to answer how much must those additions be if the investment account pays 8% compounded quarterly.

\$2.19