A bank offers a corporate client a choice between borrowing cash at 9% per annum and borrowing Bitcoin at -5% per annum. The risk-free interest rate is 3% per annum, and storage costs are 7% per annum. The interest rates on the two loans are expressed with annual compounding. The risk-free interest rate and storage costs are expressed with continuous compounding. Suppose that the price of Bitcoin is $58,000 and the corporate client wants to borrow $1,160,000. Discuss whether the rate of interest on the Bitcoin loan is too high or too low in relation to the rate of interest on the cash loan. What is the correct rate of interest for Bitcoin loan?
A bank offers a corporate client a choice between borrowing cash at 9% per annum and borrowing Bitcoin at -5% per annum. The risk-free interest rate is 3% per annum, and storage costs are 7% per annum. The interest rates on the two loans are expressed with annual compounding. The risk-free interest rate and storage costs are expressed with continuous compounding. Suppose that the price of Bitcoin is $58,000 and the corporate client wants to borrow $1,160,000. Discuss whether the rate of interest on the Bitcoin loan is too high or too low in relation to the rate of interest on the cash loan. What is the correct rate of interest for Bitcoin loan?
Chapter13: Other Financing Alternatives
Section: Chapter Questions
Problem 1bM
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A bank offers a corporate client a choice between borrowing cash at 9% per annum and borrowing Bitcoin at -5% per annum. The risk-free interest rate is 3% per annum, and storage costs are 7% per annum. The interest rates on the two loans are expressed with annual compounding. The risk-free interest rate and storage costs are expressed with continuous compounding. Suppose that the price of Bitcoin is $58,000 and the corporate client wants to borrow $1,160,000.
Discuss whether the rate of interest on the Bitcoin loan is too high or too low in relation to the rate of interest on the cash loan.
What is the correct rate of interest for Bitcoin loan?
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