et Present Value-Unequal Lives an original investment of $40,s00. The project wi
ID: 2437481 • Letter: E
Question
et Present Value-Unequal Lives an original investment of $40,s00. The project wil yield cash flows of $8,000 per year for six years. Project 2 has a calculated net present value of $12,200 over a four-year life. Project 1 could be soid at the end of four years for a price of $38,000. Use the Present Value of $1 at Compound Interest and the Present Value of an Annuity of $i at Compound Interest tables shown below Present Value of $1 at Compound Interest Year 6% 10% 12% 15% 20% 1 0.943 0.909 0.893 0.870 0.833 2 0.890 0.826 0.797 0.756 0.694 3 0.840 0.751 0.712 0.658 0.579 4 0.792 0.683 0.636 0.572 0.482 5 0.747 0.621 0.567 0.497 0.402 6 0.705 0.564 0.507 0.432 0.335 7 0.665 0.5130.452 0.376 0.279 8 0.627 0.467 0.404 0.327 0.233 9 0.592 0.424 0.361 0.284 0.194 10 0.558 0.386 0.322 0.247 0.162 Present Value of an Annuity of $1 at Compound Interest Year 6% 10% 12% 15% 20% 0.943 0.909 0.893 0.870 .833 2 1.833 1.736 1.690 1.626 1.528 2.673 2.487 2.402 2.283 2.106 4 3.465 3.170 3.037 2.855 2.589 5 4.212 3.791 3.60S 3.352 2.991 6 4.917 4.355 4.111 3.7843.326 5.582 4.868 4.564 4.160 3.605 8 6.210 5.335 4.968 4.4873.837 9 6.802 5.759 5.328 4.772 4.031 10 7.360 6.1455.650 5.019 4.192 a. Determine the net present value of Project I over a four-year life with residual value, assuming a minimum rate of return of 10%. If required, round to the nearest dollar. b. Which project provides the greatest net present value? Check My Work uses remainingExplanation / Answer
Ans -(a)
calculation of Net present Value (NPV) of Project 1 are as follows :-
present value factor @10% (compound interest)-B
Ans- (b)
As we have seen that NPV of project 1 is $10,806 and in question it is given that NPV of project 2 is $12,200 that is more than Project 1. Hence Project 2 has greater Net present value .
Year Initial Investment($) cash inflow($) net cash flow -Apresent value factor @10% (compound interest)-B
Net present value(A*B) 0 40,500 - (40,500) 1 (40,500) 1 - 8,000 8,000 0.909 7,272 2 8,000 8,000 0.826 6,608 3 8,000 8,000 0.751 6,008 4 8,000 8,000 0.683 5,464 4 38,000 38,000 0.683 25,954 Total $10,806Related Questions
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