Pure maths, physics, logic (braingames.ru): non-trade-related brain games - page 174

 
GaryKa:

A simple worldly task for a quick check on how financially savvy your acquaintances are (I checked a friend)

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You decided to make extra money, took a bank loan of $ 10000 at 10% per annum, bought hryvnias for 8.1 per dollar and put them on deposit at 20% per annum. Exactly three quarters later, the Maidan, integration, etc. started... And the exchange rate went into overdrive, it became 8.3 hryvnias per dollar. You withdraw money from the deposit (the contract allows you to do so, interest is charged monthly), you change hryvnias into dollars and repay the current dollar-denominated loan (the contract allows you to do so as well).

Attention is a question: how much you earned or by how much you were earned :) . If interest is tight, you can simply state the amount of profit/loss in specific monetary units.

I calculated: Profit + $448.05, or + 4.4804590539968%.

The terms of the problem don't mention them, that's why I calculated the net "ideal" interest.

 
4.48%
 
GaryKa:

Note the question: how much % you have earned or how much you have been earned :) .

Interest on what? I invested 0 :).

I got $472.89 for some reason, not the same as everyone else, so I guess it's time to sleep :).

 
Candid:

1. interest on what? There's no investment :).

I've got $472.89, not the same as for everybody else, so I guess it's time to go to sleep :).

I'll take it as a philosophical question. I'll take it as a "virtual sum of money in escrow". I'd have to pay it back in any case (if we don't consider criminal variants of forgiveness).

2. Yes, go to sleep and dream about the right calculation.

The deposit currency (dollars) also fluctuates against the multi-currency basket -.... Oh, they wiggle... a lot.

In my calculation (as well as in the problem's conditions) it is ignored. But my Expert Advisors are "multi-currency correct". :)

 
Candid:

I got $472.89 for some reason, not the same amount as everyone else, so I guess it's just bedtime :).

Me too.

In UAH you invested 81K and withdrew 81000*(100 + 20/12*9)*0.01 = 93150, in USD it is 93150/8.3 = 11222.89

And the dollar credit at that time would have been 10000*(100 + 10/12*9)*0.01 = 10750

11222.89-10750 = 472.89

Where is the mistake?

 
In choosing a tool
 
komposter:

Me too.

In UAH you invested 81K, after 9 months, you withdrew 81000*(100 + 20/12*9)*0.01 = 93150, in USD it is 93150/8.3 = 11222.89

And the dollar credit at that time would have been 10000*(100 + 10/12*9)*0.01 = 10750

11222.89-10750 = 472.89

Where is the mistake?

Let's go on:

after another 3 months, by your logic it should be 93150*(100 + 20/12*3)*0.01 = 97807.5, right?

Let's check: 97807.5/81000 = 1.2075.

Oops. It should be 1.20 exactly! There's a mistake somewhere...! ...so where?

;)

 
MetaDriver:

Let's move on:

In another 3 months, by your logic it should be 93150*(100 + 20/12*3)*0.01 = 97807.5, right?

Let's check: 97807.5/81000 = 1.2075.

oops. it should be 1.20 exactly! there's a mistake somewhere...!... so where?

;)

20% APR is not the same as 15% for 9 months?

I'm not meant to be a bank clerk)

 
komposter:

20% per annum is not the same as 15% for 9 months?

I guess not.


I'm not meant to be a bank clerk)

;)
 
MetaDriver:
it looks like it.
I'm certainly not going to die of curiosity, but I'd appreciate an explanation )