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10 March, 2022

Foreign Exchange Math

 

December-20I8

 

Please work out the buying rate of euro 60,000 against an export bill with a usance period of 180 days on the basis of the following data :-

US$ 1 = Tk. 83.5010-83.6010

Euro £ 1 = US$ 1.3040-1.4050

 

 Transit period 15 days

 Rate of Interest 9% per annum

 Profit margin Tk.1I25%

 One year = 360 Days

Rough calculations to be shown.

 

Solution:

 

Euro £ 1 = US$ 1.3040-1.4050

US$ 1 = Tk. 83.5010-83.6010

 

In case of USD-BDT exchange rate, domestic currency (BDT) is flexible and foreign currency (USD) is fixed. So, USD-BDT rate is a Direct Exchange Rate. The maxim of Direct Exchange Rate is, "Buy Low, Sell High". Therefore, the exchange rate ofUSD-BDT  is to be-


So, £ 1 = US$ 1.3040-1.4050

Here, £ 1 = $ 1.3040* 1 USD

$ 1 = Tk. 83.5010

£ 1 = Tk. 1.3040*83.5010

=Tk. 108.8853

Exchange Margin:


Here, $1=Tk.83.5010

 

 

 

 

 

Here,        Billing

Maturity    Period


Total Time = Billing Maturity period+ Transit period= (180+ 15)= 195 days

 

Interest  charge (For 195 days)= PRT/360*100

= Tk. (108.8853*9*195)/(360 *100)

= Tk. (191093.7015/36000)

= Tk. 5.3081


180     days      &

Transit Period 15

Days


 

 

 

Profit margin  = Tk 108.8853*1125%

= 435.54

Or       = 0.0436

Total Exchange Margin       = (Interest+ Profit margin)

= (5.3081+0.436)

= Tk. 5.7441


Exchange rate  for £ 1


= Tk. 108.8853-5.7441

=Tk.103.1412(Ans.)


July-2018

 

The current market exchange rates are a s follows:­                                                  20

£ 1 = $ 1.3947 - 1.3957

$ 1 = Tk. 82.9020-82.9820

 

Please calculate the exchange rate of your bank for buying 120 days pound sterling usance bill assuming the following :-

 

 Transit period 10 days

 Rate of Interest 10% per annum

 Profit margin Tk.0.10 per pound sterling

 One year = 360 Days

Rough calculations to be shown.

 

Solution:

 

£ 1 = $ 1.3947 - 1.3957

$ 1 = Tk. 82.9020-82.9820

 

In case of USD-BDT exchange rate, domestic currency (BDT) is flexible and foreign currency (USD) is fixed. So, USD-BDT rate is a Direct Exchange Rate. The maxim of Direct Exchange Rate is, "Buy Low, Sell High". Therefore, the exchange rate ofUSD-BDT  is to be-


So, £ 1 = $ 1.3947 - 1.3957

Here, £ 1 = $ 1.3947* 1 USD

$ 1 = Tk. 82.9020

£ 1 = Tk. 1.3947 * 82.9020

=Tk. 115.6234

Exchange Margin:


Here, $1=Tk.82.9020

 

 

 

 

 

Here,        Billing

Maturity    Period


Total Time = Billing Maturity period+ Transit period= (120+ 10)= 130 days

 

Interest  charge  (For 130 days)= PRT/360*100

= Tk. (115.6234*10*130)/(360 *100)

= Tk. (150310.42/36000)

= Tk. 4.1752


120     days      &

Transit Period 10

Days


Profit margin = Tk 0.10

Total Exchange Margin        = (Interest+ Profit margin)

= (4.1752+0.10)

= Tk. 4.2752


Exchange rate  for £ 1


= Tk. 115.6234 - 4.2752

=Tk.lll.3482(Ans.)


November 2017

 

 

Please calculate the exchange rate for buying a 120 day bill denominated in pound sterling using the following parameters

£ 1 = $ 1.4947 - 1.4957

$1 =Tk.  78.9020-78.10

 

 

 Transit period 10 days

 Interest rate 10% p.a

    Profit margin per pound sterling Tk. 0.10 (Assume 360 days a year.)

 

 

Solution:

 

Given, £ 1 = $ 1.4947 - 1.4957

$1 =Tk.  78.9020-78.10

 

In case of USD-BDT exchange rate, domestic currency (BDT) is flexible and foreign currency (USD) is fixed. So, USD-BDT rate is a Direct Exchange Rate. The maxim of Direct Exchange Rate is, "Buy Low, Sell High". Therefore, the exchange rate ofUSD-BDT  is to be-


So, £ 1 =$ 1.4947

$1 =Tk.  78.10

£ 1 = Tk. 1.4947 * 78.10

=Tk. 116.7360

Exchange Margin:

Total Time = Billing Maturity period+ Transit period= (120+ 10)= 130 days

 

Interest charge (For 130 days) = Tk. (116.7360 * 130 * 10)/(360 *100)

= Tk. (151756.80/36000)

= Tk. 4.2154


Here, $1=Tk.78.10

 

 

 

 

Here,        Billing

Maturity    Period

120     days      &

Transit Period 10

Days


 

Profit Margin                        = Tk 0.10

 

Total Exchange Margin       = (Interest+ Profit margin)

= (4.2154+0.10)

= Tk. 4.3154

 

Exchange rate for £1            = Tk. 116.7360 - 4.3154

= Tk.112.4206 (Ans)


June-2017

 

Please  calculate  the  exchange  rate  of  your  bank  for  buying  120 days  usance  export  bill denominated in pound sterling on the basis of the following data.

 

~   Pound sterling 1 = US Dollar 1.4947-1.4957

~   US Dollar 1= TK 65.7550-65.7600

 

 Transit period 15 days

 Rate of Interest 10% per annum

 Profit margin Tk.0.10 per pound sterling

 One year = 360 Days

Rough calculations to be shown.

 

Solution:

 

£ 1 = $ 1.4947-1.4957

$ 1 = TK 65.7550-65.7600

 

In case of USD-BDT exchange rate, domestic currency (BDT) is flexible and foreign currency (USD) is fixed. So, USD-BDT rate is a Direct Exchange Rate. The maxim of Direct Exchange Rate is, "Buy Low, Sell High". Therefore, the exchange rate ofUSD-BDT  is to be-


So, £ 1 = $ 1.4947 - 1.4957

Here, £ 1 = $ 1.4947* 1 USD

$ 1 = Tk. 65.7550

£ 1 = Tk. 1.4947 * 65.7550

=Tk. 98.2840

Exchange Margin:


Here, $1=Tk.65.7550

 

 

 

 

 

Here,        Billing

Maturity    Period


Total Time = Billing Maturity period+ Transit period= (120+ 15)= 135 days

 

Interest  charge (For 135 days)= PRT/360* 100

= Tk. (98.2840*10*135)/(360 *100)

= Tk. (132683.40/36000)

= Tk. 3.6857


120     days      &

Transit Period 10

Days


Profit margin  = Tk 0.10

Total Exchange Margin        = (Interest+ Profit margin)

= (3.6857+0.10)

= Tk. 3.7857


Exchange rate  for £ 1


= Tk. 98.2840 - 3.7857

=Tk.94.4983(Ans.)


November-2016

 

Please  calculate  the exchange  rate  for buying  a usance  export  bill denominated   in pound  sterling

65000 on the basis ofthe  following  data.

 

);>     Pound  sterling  1 = US Dollar  1.3947-1.3957

);>     US Dollar  1= TK 78.50-78.70

 

 Transit  period  10 days

 Profit margin  Tk.1I16%

 Postage  1/32%

 One year = 360  Days

Rough  calculations  to be shown.

Solution:

 

£ 1 = $ 1.3947-1.3957

$ 1 = TK 78.50-78.70

 

In case  of USD-BDT   exchange  rate,  domestic  currency  (BDT)  is flexible  and  foreign  currency (USD)  is fixed.  So, USD-BDT  rate  is a Direct  Exchange  Rate.  The  maxim  of Direct  Exchange Rate is, "Buy Low, Sell High".  Therefore,  the exchange  rate ofUSD-BDT    is to be-


So, £ 1 = $ 1.3947 - 1.3957

Here, £ 1 = $ 1.3947*  1 USD

$ 1 = Tk. 78.50

£ 1 = Tk.  1.3947 * 78.50

=Tk.  109.4839

Exchange Margin:

Transit period=   10 days

 

Interest charge (For  10 days)= PRT/360*100


Here,  $1=Tk.78.50

 

 

 

 

 

Here,Transit

Period  10 Days


 

= Tk. (109.4839*10)/(360

= Tk. (1094.839/36000)

*100)

= Tk. 0.03041

 

Profit margin

 

= Tk 109.4839*1/16%

= 684.27

 

 

Or

= 0.684

 

Postage

 

= Tk 109.4839*1/32%

= 342.13

 

 

Or

= 0.342

 


Total Exchange Margin

 

 

 

Exchange rate for £ 1


= (Interest+  Profit margin+Postage)

= (0.03041 +0.684+0.342)

= Tk. 1.0564

= Tk. 109.4839 -  1.0564

=Tk.108.4275


Amount to be credited to the  Customer Account =(65000*108.4275)   =  70,47,787.50 (Ans.)


May-2016

 

Please calculate the buying rate of pound sterling of your bank using the following data:-

 

 

 Tenor of the bill 60 days sight

 Transit time   10 days

 Interest rate 12% p.a

 Banks profit margin  0.10 per pound

 Overhead expenses 0.05 per pound

 Prevailing Exchange rate

 

£ 1 = $ 1.5500 - 1.5600

$ 1 = Tk. 78.5040-78.7080

 

(Assume 360 days a year.)

 

 

Solution:

 

Given, £ 1 = $ 1.5500 - 1.5600

$ 1 = Tk. 78.5040-78.7080

 

In case of USD-BDT exchange rate, domestic currency (BDT) is flexible and foreign currency (USD) is fixed. So, USD-BDT rate is a Direct Exchange Rate. The maxim of Direct Exchange Rate is, "Buy Low, Sell High". Therefore, the exchange rate ofUSD-BDT is to be-


So, £ 1 =$ 1.5500

$1 = Tk. 78.5040

£ 1 = Tk. 1.5500 * 78.5040

=Tk. 121.6812

Exchange Margin:


Here, $1=Tk.78.5040

 

 

 

 

Here,        Billing

Maturity    Period


Total Time = Billing Maturity period+ Transit period= (60+ 10)= 70 days

 

Interest  charge (For 70 days) = Tk. (121.6812 * 12 * 70)/(360 *100)

= Tk. (102212.208/36000)

= Tk. 2.8392


60      days       &

Transit Period 10

Days



Profit Margin

Overhead  expenses


= Tk 0.10

=Tk 0.05


 

Total Exchange Margin        = (Interest+ Profit margin+ Overhead Charge)

= (2.8392+0.10+0.05)

= Tk. 2.9892

 

Exchange  rate for £1            = Tk. (121.6812-2.9892)

= Tk.118.692 (Ans)


 

 

Please use the following exchange rates and other parameters to work out the buying rate of your bank for purpose of euro denominated travelers cheques:-

a)  £ 1 = $ 1.09-1.10

$ 1 = Tk. 77.5040-77.7080

b)  Transit period 12 days c)  Interest rate 9% p.a

d)  Profit margin Tk. 0.10 per euro

e)  Handaling Charge Tk.0.03 per euro

(Assume 360 days a year.)

 

Solution:

 

Given, £ 1 = $ 1.09-1.10

$ 1 = Tk. 77.5040-77.7080

 

In case of USD-BDT exchange rate, domestic currency (BDT) is flexible and foreign currency (USD) is fixed. So, USD-BDT rate is a Direct Exchange Rate. The maxim of Direct Exchange Rate is, "Buy Low, Sell High". Therefore, the exchange rate ofUSD-BDT  is to be-


So, £ 1 =$ 1.09

$1 = Tk. 77.5040

£ 1 = Tk. 1.09 * 77.5040

=Tk. 84.4794

Exchange Margin:

Transit period= 12 days


Here, $1=Tk.77.5040

 

 

 

 

Here,Transit

Period 12 Days


 

Interest charge (For 12 days) = Tk. (84.4794 * 12 * 9)/(360 *100)

= Tk. (9123.7708/36000)

= Tk. 0.2534


Profit Margin

Handling Charge


= Tk 0.10

= Tk. 0.03


 

Total Exchange Margin       = (Interest+ Profit margin+ handling charge)

= (0.2534+0.10+0.03)

= Tk. 0.3834

 

Exchange rate  for £1            = Tk. 84.4794-0.3834

= Tk.84.096 (Ans)


 

 

Please work out the buying rate of 120 days export bills denominated in pound sterling using the following data:-

a)  £ 1 = $ 1.4947 - 1.4957

$1 =Tk.  78.9020-78.10

b)  Transit period 10 days c)  Interest rate 10% p.a

d)  Profit margin per pound sterling Tk. 0.10 (Assume 360 days a year.)

 

Solution:

 

Given, £ 1 = $ 1.4917 - 1.4957

$ 1 = Tk. 76.5040-76.7080

 

In case of USD-BDT exchange rate, domestic currency (BDT) is flexible and foreign currency (USD) is fixed. So, USD-BDT rate is a Direct Exchange Rate. The maxim of Direct Exchange Rate is, "Buy Low, Sell High". Therefore, the exchange rate ofUSD-BDT  is to be-


So, £ 1 =$ 1.4917

$1 = Tk. 76.5040

£ 1 = Tk. 1.4917 * 76.5040

=Tk. 114.1210

Exchange Margin:


Here, $1=Tk.76.5040

 

 

 

 

Here,        Billing

Maturity    Period


Total Time = Billing Maturity period+ Transit period= (120+ 10)= 130 days

 

Interest  charge  (For 130 days) = Tk. (114.1210 * 130 * 10)/(360 *100)

= Tk. (148357.3/36000)

= Tk. 4.1210


120     days      &

Transit Period  10

Days


 

Profit  Margin                        = Tk 0.10

 

Total Exchange Margin        = (Interest+ Profit margin)

= (4.1210+0.10)

= Tk. 4.2210

 

Exchange rate  for £1            = Tk. 114.1210 - 4.2210

= Tk.l09.900 (Ans)


November-2010   (Q-7)

An exporter has presented an export bill for Euro 50,000 for negotiation on your bank. By using the following particulars, determine the Euro exchange rate of your bank to purchase the export bill and also determine what amount will be credited to the exporter's account :-

(a)  Bill amount- Euro 50,000 (b) Bill Period- 60 days

(c)  Transit Period- 10 days

(d) Interest Rate- 5%(Annually)

(e)  Profit Margin- BDT 0.10 per Euro

(f)  Postage Charge- 1/32%

(g)  Existing Exchange Rate:

Euro 1 = USD 1.2215-1.2212

USD 1 = BDT 68.5800-68.5000

(360 days per year is to be considered for calculation.)

 

Solution:

Given Exchange Rate

Euro 1 = USD 1.2215-1.2212

USD 1 = BDT 68.5800-68.5000

 

In case of USD-BDT exchange rate, domestic currency (BDT) is flexible and foreign currency (USD) is fixed. So, USD-BDT rate is a Direct Exchange Rate. The maxim of Direct Exchange Rate is, "Buy Low, Sell High". Therefore, the exchange rate ofUSD-BDT  is to be-

 

USD 1 = BDT 68.5000

It is assumed that local dealer bank will collect the Euro and sell the Euro in order to buy USD from international Money Market. International dealer will purchase Euro in exchange of less amount ofUSD.  So, the Euro-USD exchange rate for local dealer bank is to be-

 

Euro 1 = USD 1.2212

 

Now, Euro 1 = 1.2212*1 USD

Euro 1 = 1.2212*68.5000 BDT [USD 1 = BDT 68.5000]

Euro 1 = BDT 83.6522

Calculation of Exchange Margin:

Total Time = Bill Maturity Period + Transit Period = (60+ 10) Days = 70 Days

Interest = BDT 83.6522*5*701100*360= BDT 0.8133

Profit Margin (Per Euro) = BDT 0.1000

Postage Charge = BDT (83.6522*1)/(32*100) = BDT 0.0261

Total Exchange Margin = BDT (0.8133+0.1000+0.0261) = BDT 0.9394

 

In case of purchase, Local Dealer Bank will realize expenses from the client during calculation of exchange rate for the client. Local dealer bank will provide less amount of BDT to the client in exchange of Euro. That is, during calculation of exchange rate for the client, the amount of total exchange margin has to be deducted from the exchange rate.

 

So, Euro 1 = BDT (83.6522 - 0.9394) = BDT 82.7182

 

Therefore, for purchasing of export bill local dealer bank will credit the exporter's account by

BDT (50,000*82.7182) = BDT 41,35,640.00