Principles Of Taxation For Business And Investment Planning 2020 Edition
Principles Of Taxation For Business And Investment Planning 2020 Edition
23rd Edition
ISBN: 9781259969546
Author: Sally Jones, Shelley C. Rhoades-Catanach, Sandra R Callaghan
Publisher: McGraw-Hill Education
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Chapter 3, Problem 17AP

Investor W has the opportunity to invest $500,000 in a new venture. The projected cash flows from the venture are as follows:

Chapter 3, Problem 17AP, Investor W has the opportunity to invest 500,000 in a new venture. The projected cash flows from the

Investor W uses a 7 percent discount rate to compute NPV. Determine if she should make this investment assuming that:

  1. a. Her marginal tax rate over the life of the investment is 15 percent.
  2. b. Her marginal tax rate over the life of the investment is 20 percent.
  3. c. Her marginal tax rate in years 1 and 2 is 10 percent and in years 3 and 4 is 25 percent.

a.

Expert Solution
Check Mark
To determine

Calculate net present value (NPV) and identify whether Investor W should make the investment or not.

Explanation of Solution

Calculate net present value (NPV) and identify whether Investor W should make the investment or not.

 Step 1: Calculate present value.

 Year 0Year 1Year 2Year 3Year 4
Before-tax cash flow$(500,000)$52,500$47,500$35,500$530,500
Less: Tax cost-$(7,875)$(7,125)$(5,325)$(4,575)
After-tax cash flow-$44,625$40,375$30,175$525,925
Multiply: Discount factor at 7%-× 0.935× 0 .873× 0 .816× 0 .763
Present value$(500,000)$41,724$35,247$24,623$401,281

Working note:

Calculate tax cost.

 Year 1Year 2Year 3Year 4
Taxable income$52,500$47,500$35,500$30,500
Multiply: Marginal tax rate× 0.15× 0 .15× 0 .15× 0 .15
Tax cost$7,875$7,125$5,325$4,575

Step 2: Calculate NPV.

NPV = (Present value of Year 0+ Present value of Year 1+ Present value of Year 2+ Present value of Year 3+ Present value of Year 4)=($500,000+$41,724+$35,247+$24,623+$401,281)=$2,875

The value of net present value (NPV) is positive. Hence, Investor W should make the investment.

b.

Expert Solution
Check Mark
To determine

Calculate net present value (NPV) and identify whether Investor W should make the investment or not.

Explanation of Solution

Calculate net present value (NPV) and identify whether Investor W should make the investment or not.

 Step 1: Calculate present value.

 Year 0Year 1Year 2Year 3Year 4
Before-tax cash flow$(500,000)$52,500$47,500$35,500$530,500
Less: Tax cost-$(10,500)$(9,500)$(7,100)$(6,100)
After-tax cash flow-$42,000$38,000$28,400$524,400
Multiply: Discount factor at 7%-× 0.935× 0 .873× 0 .816× 0 .763
Present value$(500,000)$39,270$33,174$23,174$400,117

Working note:

Calculate tax cost.

 Year 1Year 2Year 3Year 4
Taxable income$52,500$47,500$35,500$30,500
Multiply: Marginal tax rate× 0.20× 0 .20× 0 .20× 0 .20
Tax cost$10,500$9,500$7,100$6,100

Step 2: Calculate NPV.

NPV = (Present value of Year 0+ Present value of Year 1+ Present value of Year 2+ Present value of Year 3+ Present value of Year 4)=($500,000+$39,270+$33,174+$23,174+$400,117)=$4,265

The value of net present value (NPV) is negative. Hence, Investor W should not make the investment.

c.

Expert Solution
Check Mark
To determine

Calculate net present value (NPV) and identify whether Investor W should make the investment or not.

Explanation of Solution

Calculate net present value (NPV) and identify whether Investor W should make the investment or not.

 Step 1: Calculate present value.

 Year 0Year 1Year 2Year 3Year 4
Before-tax cash flow$(500,000)$52,500$47,500$35,500$530,500
Less: Tax cost-$(5,250)$(4,750)$(8,875)$(7,625)
After-tax cash flow-$47,250$42,750$26,625$522,875
Multiply: Discount factor at 7%-× 0.935× 0 .873× 0 .816× 0 .763
Present value$(500,000)$44,179$37,321$21,726$398,954

Working note:

Calculate tax cost.

 Year 1Year 2Year 3Year 4
Taxable income$52,500$47,500$35,500$30,500
Multiply: Marginal tax rate× 0.10× 0 .10× 0 .25× 0 .25
Tax cost$5,250$4,750$8,875$7,625

Step 2: Calculate NPV.

NPV = (Present value of Year 0+ Present value of Year 1+ Present value of Year 2+ Present value of Year 3+ Present value of Year 4)=($500,000+$44,179+$37,321+$21,726+$398,954)=$2,180

The value of net present value (NPV) is positive. Hence, Investor W should make the investment.

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Principles Of Taxation For Business And Investment Planning 2020 Edition

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