FIN 311 Sample Third Quiz

FIN 311-01 and 10

Spring 2017

D Swanton                                                                                        

 Roosevelt University

Principles of Finance

Sample Third Quiz 

with some numerical answers

and a correction

Do all the problems.  Include calculations and/or explanations in your answers wherever appropriate.  More credit will be given for correct reasoning than for correct arithmetic.


1.                  Alpha Co. is investigating project A with cost of capital k = 6%.

.                               A:  -$5,000, $1,646, $1,646, $1,646, $1,646     NPV = $704   IRR = 12%

(a)    Calculate its NPV and IRR.  Is A acceptable?

(b)    Sketch the NPV profile.


2.                 Beta Co. is looking at Project C with cost of capital k = 7%.

                    C:  $3,000, -$945, -$945, -$945, -$945.    

IRR = 10% but this is a borrowing project with NPV = -$201

Sketch C’s NPV profile.  Is it acceptable?  Explain in both NPV and IRR terms. 


3.                Gamma Co. is looking at Project D with k = 7%.

.                             D:  -$3,000, $2,000, $4,000, $6,000, -$10,000

The spread sheet says the NPV = -$368 but IRR = 15%.  Is Project D acceptable?  It has a negative NPV but IRR > k.  Explain.


 4.          I am planning on investing for retirement. I estimate that I will need $100,000 per year for twenty years.  I expect to earn 7% while accumulating and 3% in retirement.   I am now 25 expecting to retire at 70 and have nothing in the plan yet, and from this year I will be contributing equal annual amounts.

.   (a)    How big must those contributions be?

.   (b)     I started on that plan ten years ago and am now 35 and have $80,000 in the plan.  If I still want the $100,000 per year, what contributions should I make?

.   (c)     The week after making the calculation in part (b), a market crash causes me to lose 30% of my $80,000. If I go on making the contributions from part (b) and retire two years later, can I still expect at least the $100,000 per year?

4.    We are thinking abut buying a widget fogger.  It would cost $16,000 to purchase and $4,000 to install.  It would be subject to a 5% investment tax credit.  The fogger is in the SACRS(20%, 30%, 25%, 25%) class.  We would use it for 5 years and sell it for $1,600.  The fogger would raise our revenues by $6,000 per year and raise our expenses by $800 per year.  Our tax rate is 20%.

.   (a)    Write the depreciation table, and calculate the after-tax cash flow from the sale of the fogger.

.   (b)    Calculate all the cash flows from the purchase, use, and sale of the fogger.