Question

Your uncle has $90,000 that he wishes to invest now in order to use the accumulation for purchasing a retirement annuity in five years. After consulting with his financial adviser, he has been offered four types of fixed income investments, labeled as investments A, B, C, and D. Investments A and B are available at the beginning of each of the next five years (call them years 1 to 5). Each dollar invested in A at the beginning of a year returns $1.20 (a profit of $0.20) two years later, in time for immediate reinvestment. Each dollar invested in B at the beginning of a year returns $1.36 three years later.

Answer 1

Answer:

The question is incomplete, it is missing the last part:

...

Investments C and D will each be available at one time in the future. Each dollar invested in C at the beginning of year 2 returns $1.66 at the end of year 5. Each dollar invested in D at the beginning of year 5 returns $1.12 at the end of year 5.

Your uncle is obligated to make a balloon payment on an existing loan, in the amount of $24,000, at the end of year 3. He wants to cover that payment out of these funds as well.

First of all, you must invest enough money in B in order to pay your debt.

present value = future value / expected return

present value = $24,000 / $1.36 = $17,647.06

you have $90,000 - $17,647.06 = $72,352.94 to invest in A.

at the end of year 2, you will have:

future value = present value x expected return = $72,352.94 x $1.20 = $86,823.53

then you should invest that money ($86,823.53) in invested D and at the end of year 4 you will have:

future value = $86,823.53 x $1.66 = $144,127.06

finally, you should invest $144,127.06 in investment E and at the end of ear 5 you will have:

future value = $144,127.06 x $1.12 = $161,422.31