A company is about to embark on a two year project. Estimates of relevant inflows and outflows in current terms are as follows:   Year 1 Year 2   £ £ Sales 50,000 50,000 Costs 30,000 32,000   •The following inflation rates are applicable to the flows: Sales 6% pa Costs 4% pa   •Tax is payable at 28% on net flows. Capital allowances may be ignored. •The initial investment in the project at t0 is £20,000. •The money cost of capital is 10% pa.   Required: (a) Calculate the NPV of the project. (b) Assess the sensitivity of the investment decision to changes in sales revenue.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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•A company is about to embark on a two year project. Estimates of relevant inflows and outflows in current terms are as follows:

 

Year 1

Year 2

 

£

£

Sales

50,000

50,000

Costs

30,000

32,000

 
•The following inflation rates are applicable to the flows:

Sales

6% pa

Costs

4% pa

 
•Tax is payable at 28% on net flows. Capital allowances may be ignored.
•The initial investment in the project at t0 is £20,000.
•The money cost of capital is 10% pa.
 

Required:

(a) Calculate the NPV of the project.

(b) Assess the sensitivity of the investment decision to changes in sales revenue.

(a) NPV
Initial investment
Sales -current values inflated @ 6%
Costs - current values inflated @ 4%
Cash flows before tax
Tax @ 28%
Net cash flows
DF @ 10%
PV
NPV = £7,096
to
t1
t2
Transcribed Image Text:(a) NPV Initial investment Sales -current values inflated @ 6% Costs - current values inflated @ 4% Cash flows before tax Tax @ 28% Net cash flows DF @ 10% PV NPV = £7,096 to t1 t2
(b) Sensitivity of the project to changes in sales revenue R at t1 and t2 (b) Alternative approach
in current terms.
PV of revenue
Initial investment
Sales (after tax
28%)
Cost (after tax 28%)
DF
DCF
NPV =
to
t1
t2
t1
£
=
t2
£
Revenue (after tax)
DF @10%
PV
PV of CF of Revenue
NPV of the project =
Sensitivity (NPV/PV of CFs affected) x 100% =
Transcribed Image Text:(b) Sensitivity of the project to changes in sales revenue R at t1 and t2 (b) Alternative approach in current terms. PV of revenue Initial investment Sales (after tax 28%) Cost (after tax 28%) DF DCF NPV = to t1 t2 t1 £ = t2 £ Revenue (after tax) DF @10% PV PV of CF of Revenue NPV of the project = Sensitivity (NPV/PV of CFs affected) x 100% =
Expert Solution
Step 1

This is a typical capital budgeting project with all relevant cash flows that can be calculated. We have to put them together to find the NPV and then assess the sensitivity of NPV with changes in sales revenues.

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