Question

The Bull Company, a lawn mower manufacturer, is considering the introduction of a new model. The initial investment required is $22 million. Net cash flows over the 4-year life cycle and the corresponding certainty-equivalents of the new model are as follows:Year Net Cash Flow Certainty-equivalent Factor1 $15 million 0.902 $13 million 0.803 $11 million 0.604 $9 million 0.35The firm's cost of capital is 14% and the risk-free rate is 6%. Bull uses the certainty-equivalent approach in evaluating above-average risk investments such as this one. What is the project's certainty-equivalent NPV?a. $4,164,432.44b. $26,164,432.44c. $8,028,394.34d. $30,028,394.34

Answer 1

Answer:

Option d. $30,028,394.34

Explanation:

We can calculate certainty equivalent NPV by just a simple formula

Certainly equivalent NPV = Certain cashflow/(1+r)^n

Certain cashflows =Net cashflows x Certainty equivalent factor

r = risk free rate

At first, we need to find certain cash flows

Certain cash flow

Year1: $15,000,000  x 0.90  = $13,500,000

Year2: $13,000,000  x 0.80 = $10,400,000

Year 3: $11,000,000 x  0.60  = $6,600,000

Year 4: $9,000,000 x 0.35  =$3,150,000.

Certainly Equivalent NPV = [$13,500,000 / (1+0.06)^1] + [$10,400,000 / (1+0.06)^2] + [$6,600,000 / (1+0.06)^3] + [$3,150,000 / (1+0.06)^4]

Certainly Equivalent NPV = $12,735,849.06 + $9,255,962.98 + $5,541,487.27 + $2,495,095.04 = $30,028,394.34