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On 2 September, a 90-day bill issued with a maturity of 1 December had a quoted price of $92. On 2 October (i.e. 30 days passed), the price was $92.50. Assume the bill face value is $1mil. Suppose that Harold bought 15 bills on 2 September and sold on 2 October, how much has Harold made or lost?

Question

On 2 September, a 90-day bill issued with a maturity of 1 December had a quoted price of 92.On2October(i.e.30dayspassed),thepricewas92. On 2 October (i.e. 30 days passed), the price was 92.50. Assume the bill face value is $1mil. Suppose that Harold bought 15 bills on 2 September and sold on 2 October, how much has Harold made or lost?

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Solution

To calculate how much Harold has made or lost, we need to find the difference between the purchase price and the selling price of the bills.

Step 1: Calculate the purchase price Harold bought 15 bills on 2 September at a quoted price of 92each.So,thetotalpurchasepriceis1592 each. So, the total purchase price is 15 * 92 = $1380.

Step 2: Calculate the selling price On 2 October, the price of the bills increased to 92.50each.So,thetotalsellingpriceis1592.50 each. So, the total selling price is 15 * 92.50 = $1387.50.

Step 3: Calculate the profit or loss The profit or loss is the selling price minus the purchase price. So, Harold made 1387.501387.50 - 1380 = $7.50.

However, the question states that the face value of each bill is $1 million. The quoted prices are likely percentages of the face value. So, we need to adjust our calculations.

Step 1: Calculate the purchase price The purchase price per bill is 92/10092/100 * 1,000,000 = 920,000.So,thetotalpurchasepriceis15920,000. So, the total purchase price is 15 * 920,000 = $13,800,000.

Step 2: Calculate the selling price The selling price per bill is 92.50/10092.50/100 * 1,000,000 = 925,000.So,thetotalsellingpriceis15925,000. So, the total selling price is 15 * 925,000 = $13,875,000.

Step 3: Calculate the profit or loss The profit or loss is the selling price minus the purchase price. So, Harold made 13,875,00013,875,000 - 13,800,000 = $75,000.

This problem has been solved

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