Which one of the following statements is correct given these two investment options

1.69K views
0

You are comparing two investment options, each of which will provide $15,000 of total income. Option A pays five annual payments starting with $5,000 the first year followed by four annual payments of $2,500 each. Option B pays five annual payments of $3,000 each. Which one of the following statements is correct given these two investment options? a.) Given a positive rate of return, Option A is worth more today than Option B. b.) Option A is preferable because it is an annuity due. c.) Option B has a higher present value than Option A given a positive rate of return. d.) Both options are of equal value today. e.) Option B has a lower present value than Option A given a zero rate of return.

0

Answer: a.) Given a positive rate of return, Option A is worth more today than Option

 

 

Explanations to the above answer

We will select the option A because in option A we will have higher prasent Value then option B
Suppose the interest rate is 5 % and we calculate the NPV the calculation would be as follow

Option A
Year Cash Flow Pv factor Prasent
Value
0 5000 1 5000
1 2500 0.95238 2380.952381
2 2500 0.90703 2267.573696
3 2500 0.86384 2159.593996
4 2500 0.82270 2056.756187
5 2500 0.78353 1958.815416
      15823.69168

 

Option B
Year Cash Flow Pv factor Prasent
Value
0 0 1 0
1 3000 0.95238 2857.142857
2 3000 0.90703 2721.088435
3 3000 0.86384 2591.512796
4 3000 0.82270 2468.107424
5 3000 0.78353 2350.578499
      12988.43001

 

Form the above calculation we could see that option A has higher Value so select Option A

Contact us today

Ask for our academic services

Copyright SmartStudyHelp 2016. All Rights Reserved