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Consider the following independent situations. (a) Mike Finley wishes to become a millionaire. His money market fund has a balance of \(92,296 and has a guaranteed interest rate of 10%. How many years must Mike leave that balance in the fund in order to get his desired \)1,000,000? (b) Assume that Sally Williams desires to accumulate \(1 million in 15 years using her money market fund balance of \)182,696. At what interest rate must Sally’s investment compound annually?

Short Answer

Expert verified

The period required for Mike is 25 years, and the interest rate required for Sally will be 12%.

Step by step solution

01

Calculation of the number of years

Futurevalueof$1=DesiredamountMoneymarketfundbalance=100,00092,296=10.83471

The future value of $1 is 10.83471 at 10% for25 years, per the table

02

Calculation of the interest rate

Futurevalueof$1=DesiredamountMoneymarketfundbalance=100,000182,696=5.47357

The future value of $1 is 5.47357 for 15 years for an interest rate of12%, per the table

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