Question

You are saving for a Porsche Carrera Cabriolet, which currently sells for nearly half a million dollars. Your plan is to deposit $15,000 at the end of each year for the next 10 years. You expect to earn 8 percent each year.a. Determine how much you will have saved after 10 years.b. Determine the amount saved if you were able to deposit $17, 500 each year.c. Determine the amount saved if you deposit $15,000 each year, but with 10 percent interest.

Answer 1

Answer:

a.) $217,298.44

b.) $253,514.84.

c.) $239,061.37 .

Explanation:

a. Determine how much you will have saved after 10 years

This is an ordinary annuity question and you are required to find the Future value (FV) at year 10. Using a financial calculator, key in the following inputs;

Total duration of investment; N = 10

Recurring payment; PMT = -15,000

Interest rate ; I/Y = 8%

PV = 0

then compute Future value;  CPT FV = 217,298.437

Therefore, in 10 years, you will have saved $217,298.44 which does not meet your goal of half a million dollars.

b. Determine the amount saved if you were able to deposit $17, 500 each year.

With the recurring payment increasing to 17,500 per year and the interest rate remaining at 8%, find the new Future value by keying in the following inputs;

Recurring payment; PMT = - 17,500

Interest rate ; I/Y = 8%

Total duration of investment; N = 10

PV = 0

then compute Future value;  CPT FV = 253,514.843

Therefore, in 10 years, you will have saved $253,514.84.

c. Determine the amount saved if you deposit $15,000 each year, but with 10 percent interest.

It is still an ordinary annuity question , however, the recurring payment(PMT) will be 15,000 as before but with an annual interest rate(I/Y) of 10%.  Using a financial calculator, key in the following inputs;

Total duration of investment; N = 10

Recurring payment; PMT = -15,000

Interest rate ; I/Y = 10%

PV = 0

then compute Future value;  CPT FV = 239,061.369

Therefore, in 10 years, you will have saved $239,061.37 .