Total valuation adjustment (XVA) is a new technique which takes multiple material financial factors into consideration when pricing derivatives. This paper explores how funding costs and counterparty credit risk affect pricing the American option based on no-arbitrage analysis. We review previous studies of European option pricing with different funding costs. The conclusions help to compute the no- arbitrage price of the American option in the model with different borrowing and lending rates. Another model with counterparty credit risk is set up, and this pricing approach is referred to as credit valuation adjustment (CVA). A defaultable bond issued by the counterparty is used to hedge the loss from the option's default. We incorporate these two models to assess the XVA of an American option. The collateral, which protects the option investors from default, is considered in our benchmark model. To illustrate our results, numerical experiments are designed to demonstrate the relationship between XVA and parameters, which include the funding rates, bond's rate of return, and number of periods.

The purpose of this thesis is to investigate how well Swedish banks’ follow the interest rate development of Swedish Treasury Bills and Swedish Government Bonds when they are determining the levels for their deposit and lending rates. Individuals’ deposits in a bank serves as one of the banks main assets in the balance sheet, and the spread between the bank’s deposit rate and the short-term market rate is a large source of funding for the bank. If there is a strong relationship of this spread over time, one may assume that this spread is of great importance for financing of the banking firm. The spread between the bank’s lending rate and the long-term market rate – credit risk spread – also serves a large source of interest income for the bank, and if this relationship is strong over time, one may assume that this spread is of great importance for financing of the banking firm as well. The banks subjected for investigation in this paper are Handelsbanken (SHB) and Föreningssparbanken (FSB). This paper finds a weaker relationship between the banks’ deposit rates and the short-term market rates, than for the lending rates and the long-term market rates. This indicates that the credit risk spread is of greater importance for financing of the banking firm than the funding spread. The weaker relationship between the banks’ deposit rates and the short-term market rate may be due to the great variability of savings alternatives offered in the market place today. The fact that banks today have deposit-deficit may also explain the weaker relationship, which may be explained by the Baumol-Tobin transaction model – where the higher the interest rate, the greater amount is being kept in the account. The stronger relationship between the banks’ lending rate and the long-term market rate may be due to the nature of the credit risk spread to function as a price-discrimination tool between lending clients.

<p>The purpose of this thesis is to investigate how well Swedish banks’ follow the interest rate development of Swedish Treasury Bills and Swedish Government Bonds when they are determining the levels for their deposit and lending rates. Individuals’ deposits in a bank serves as one of the banks main assets in the balance sheet, and the spread between the bank’s deposit rate and the short-term market rate is a large source of funding for the bank. If there is a strong relationship of this spread over time, one may assume that this spread is of great importance for financing of the banking firm.</p><p>The spread between the bank’s lending rate and the long-term market rate – credit risk spread – also serves a large source of interest income for the bank, and if this relationship is strong over time, one may assume that this spread is of great importance for financing of the banking firm as well.</p><p>The banks subjected for investigation in this paper are Handelsbanken (SHB) and Föreningssparbanken (FSB). This paper finds a weaker relationship between the banks’ deposit rates and the short-term market rates, than for the lending rates and the long-term market rates. This indicates that the credit risk spread is of greater importance for financing of the banking firm than the funding spread. The weaker relationship between the banks’ deposit rates and the short-term market rate may be due to the great variability of savings alternatives offered in the market place today. The fact that banks today have deposit-deficit may also explain the weaker relationship, which may be explained by the Baumol-Tobin transaction model – where the higher the interest rate, the greater amount is being kept in the account. The stronger relationship between the banks’ lending rate and the long-term market rate may be due to the nature of the credit risk spread to function as a price-discrimination tool between lending clients.</p>