Well im stuck! Combined IRR/NPV/Discounting Question

RARRR

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Should you buy a horse for $8000? (for the purpose of taking children for rides)

You only have $3000 of your own money (of which you can get 6% interest pa compounded monthly..)

You would need to borrow the remaining $5000 (bank charges 10% interest pa compounded monthly..)

You expect the horse to have a working life of 10 years, but the bank is only willing to give you a loan for 5 years.

Monthly Gross Returns from working with the horse are expected to be $900 each month

Fees are estimated at $400 each month

After 10 years the horse will be retired and you will collect $500 (salvage value)




a. Conduct a cost benefit analysis. Will you buy the Horse?

b. Suppose you bought the horse. Other people are interested in buying it as a pet but as it gets older the price goes down.
The price at which you can sell the camel goes down at the rate of 0.5% per month from its initial value.
You can use diminishing value depreciation calculation as an approximation of market force.
However noone wants to buy a 9 year old horse

Do you sell your beloved animal, and if so, when?

c. Suppose the bank hikes up the interest rate to 11% pa. What does this change?

My initial thoughts:
1. I need to calculate the repayments
2. Find the NPV (Although this would be easy in excel I am supposed to be able to do this on paper.... doing NPV with 120 calculations seems silly?
3. Compare IRR's

Maybe I need to consolidate the monthly payments/fees into 1 years expected income and then calculate using NPV using the pa interest rate?
 
Well, problem as posted is kind of silly: looks like your teacher is trying
to make the class laugh, and hasn't paid much attention to details...

A quick "look":
the Bank loan will require 60 payments of $106.23
Trigger will generate a monthly net of 900-400 = $500

If you don't buy Trigger, you keep your $3000, plus you
deposit the 106.23 (instead of it being a payment) for
60 months, then no deposits for last 60 months:
at 6% annual cpd. monthly, you'll end up with ~$15,455

If you buy trigger, you use up your $3000, but start collecting
$500 net, from which you pay $106.23, for a net monthly
deposit of 500-106.23 = $393.77: that's for 1st 60 months.
Then your Banker is paid off, and the full $500 is deposited;
60 @ 393.77 then 60 @ $500 (with extra $500 at end) accumulates
to ~$72,442 ; assumes the 6% annual cpd. monthly, of course.

$72,442 versus $15,455 !!
Well, if I were you, I'd buy a stable full of Triggers :rolleyes:

What formula did you use to get the $72442?
 
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