Question

7. Alice has $15,000 for investment purposes and suppose Alice’s MARR is 18% compounded monthly. Her bank has offered the following three choices: a. A special savings certificate that will pay $200 each month for 5 years and a lump sum payment at the end of 5 years of $17,000. b. Buy a share of a racehorse for $15,000 that will be worth $35,000 in 5 years. c. Put the money, today, in a savings account that will have Alice’s interest rate. Calculate the annual worth of all options and make a recommendation to Alice.

Answer 1

Answer:

a) Annual Worth of net gain is  $6793.0184

b) Annual Worth of net gain is  $6395.557

c) Annual Worth of net gain is  $6922.65

Recommendation: Option C is the best option for Alice

Explanation:

a) Alice will get $200 per month for 5 years which means for 60 months at the rate of 18% compounded monthly.

So FV of that cash flow

= FV(18%/12,60,-200)

= 19242.9303

A lump sum amount of $17000 at the end of 5th year

Total Worth = 19242.9303 + 17000

                    = $36242.9303

Annual worth = $36242.9303 / 3.1271

                      = $11589.94

Net Gain = $36242 - $15000

               = $21242.9303

Annual Worth of net gain = $21242.9303 / 3.1271

                                          = $6793.0184

b) Racehorse share will be worth $35000 on 5 years.

Annual Worth = $35000 / 3.1271

                       = $11192.48

Net Gain = $35000 - $15000

               = $20000

Annual Worth of net gain = $20000 / 3.1271

                                          = $6395.557

c) Saving account will generate funds after 5 years

= FV(18%/12,60,,-15000)

= $36648.30

Net Gain = $36648.30 - $15000

               = $21648.30

Annual Worth = $36348.30 / 3.1271

                       = $11719.58

Annual Worth of net gain = $21648.30 / 3.1271

                                          = $6922.65

Therefore, Option c is best for Alice.